GUFE - T4 answer

CAT – Intermediate Level T4 – Accounting For Costs

Prepared by Jessy Chong 张愫芯 1

CHAPTER 1 MANAGEMENT INFORMATION

QUESTIONS 1 Which of the following is NOT CORRECT?

A Cost accounting can be used for inventory valuation to meet the requirements of internal reporting only also for financial reporting – remember the value of opening stock, production cost and closing stock? Where and how to get the value?

B Management accounting provides appropriate information for decision making, planning, control and performance evaluation

C Routine information can be used for both short-term and long-run decisions D Financial accounting information can be used for internal reporting purposes

2 What would be the most appropriate cost unit for a cake manufacturer? Cost per: A cake too small to be cost unit B batch C kg input may not equal to output

D production run might relate to different quantities of output

3 For operational purposes, for a company operating a fleet of delivery vehicles, which of

the following cost units would be most useful? Revenue normally based on the quantity delivered and the distance travelled.

A Cost per mile run Friend, do you remember the composite cost unit in CHAPTER 9

B Cost per driver hour Service Costing? C Cost per tonne mile D Cost per kilogram carried 4 The double entry for the materials charged to WIP would have been: A DR WIP control, CR Stores ledger control B DR Stores ledger control, CR WIP control C DR Production overhead control, CR WIP control D DR WIP control, CR Production overhead control WIP a/c Stores / Material a/c Material $xxx WIP $xxx Receipt (in) – DEBIT Issue (out) - CREDIT 5 The double entry for the production overhead recovered in the period, would have been: A DR Finished goods control, CR Production overhead control B DR Production overhead control, CR WIP control C DR WIP control, CR Production overhead control D None of these WIP a/c POH a/c D.Mat $xxx FG $xxx I. Mat $xxx WIP $xxx D. Lab $xxx I. Lab $xxx D. Exp $xxx I. Exp $xxx POH $xxx $xxx $xxx



6 The double entry for the transfer of finished goods would have been: A DR Finished good control, CR WIP control B DR Cost of sales account, CR WIP control C DR WIP control, CR Finished goods control D DR Finished goods control, CR Cost of sales 7 Which of the following would be included in the financial accounts, but may be

excluded from the cost accounts? A Direct material costs part of Product Cost

B Depreciation of storeroom handling equipment part of Product Cost

C Bank interest and charges D Factory manager’s salary part of Product Cost

8 An investment centre is best defined as:

A a centre within an enterprise with responsibilities for revenues, cost and capital investment, and whose performance is measured by its return on capital employed

B a centre within an enterprise with responsibilities for revenues and costs, and whose performance is measured by its profitability

C a centre within an enterprise where costs are collected before being analysed further

D a centre within an enterprise whose performance is the responsibility of a specific manager

9 Which one of the following may be included in the cost accounts but excluded from the

financial accounts? A Depreciation of equipment B Distribution expenses C Factory manager’s salary D Notional rent rent paid to HQ (liked son gives money to father)

10 In an interlocking system, what would be the entry for the issue of indirect material from

inventory? Account debited Account credited A Material inventory Production overhead B Material inventory Work-in-progress C Production overhead Material inventory D Work-in-progress Material inventory 11 Features of computer systems include: (i) icons

(ii) keyboard input device

(iii) optical mark reading input device (iv) pull-down menu Which of the above are features of graphical user interfaces? A (i) and (iv) B (ii) and (iii) C (i), (iii) and (iv) D (i), (ii) and (iv)



12 Cost centres are: A units of product or service for which costs are ascertained B amounts of expenditure attributable to various activities C functions or locations for which costs are ascertained and related to cost units D a section of an organisation for which budgets are prepared and control

exercised 13 What is the purpose of management information? A Planning only B Planning and control only C Planning, control and decision making only D Planning, control, decision making and research and development 14 Which of the following is a feature of an interlocking bookkeeping system? A One set of ledger accounts B No control accounts C Cost ledger contains asset and liability accounts D Separate cost and financial ledgers 15 Which of the following are used for the capture and storage of management accounting

data by computer? (i) Bar code capture

(ii) Disk storage (iii) Printer output device (iv) Tape storage A (i) and (ii) only B (i), (ii) and (iv) only C (i), (iii) and (iv) only D (ii), (iii) and (iv) only 16 A profit centre is: A the profit attributable to a business unit B a business unit whose manager is responsible for operating costs and revenues

from the activities of the unit C a unit of product or service for which costs and revenues are measured D a business unit whose manager is responsible for investment decision within the

unit 17 Which of the following only contains essential features of useful management information? A Accurate, clear, presented in report format B Timely, reliable, supported by calculations C Regular, complete, communicated in writing D Clear, accurate, relevant for its purpose

Revise again CHAPTER 1 – Management Information IF you got the wrong answer!!! 18 In an integrated cost and financial accounting system, what would be the entry to

record direct labour costs being charged to production? Integrated accounting system always involved LEDGER CONTROL a/c!!!



Debit Credit A Financial ledger control Work-in-progress B Production overhead Wages control C Finished goods Work-in-progress D Work-in-progress Wages control 19 What is an interlocking bookkeeping system?

A A single, combined system containing both cost accounting and financial accounting records

B A system combining cost accounting and management accounting C A system supported by prime entry records D A system where separate accounts are kept for cost accounting and for financial

accounting Need to remind you again??!! Interlocking – Two separate ledgers!!!

20 Which of the following is an example of data? A A graph showing sales by product for the previous year B A list of employees of an organisation C A report showing the percentage of rejects by machine D A table showing inflation projections by business sector 21. Sources of useful data may be:

1. External from outside organization. Eg, government, suppliers, customers, media 2. Internal within organization. Eg, Accounting dept, HR dept, Production dept 3. Financial related to monetary. Eg, Cash flow statement, Profit Statement (SOCI), Balance Sheet (SOFP) 4. Non-financial non-monetary. Eg, Working hours, material usage, idle time

Which of the above sources may be used by an accounting technician? A 1, 2 and 3 only B 2, 3 and 4 only C 2 and 3 only D all four sources 22. Which of the following statements about cost and management accounting are true?

1. Cost accounting cannot be used to provide inventory valuations for external financial reporting The inventory valuation also used for financial accounting

2. There is a legal requirement to prepare management accounts This statement is applied for financial accounts.

3. The format of management accounts may vary from one business to another 4. Management accounting provides information to help management make business

decisions A 1 and 2 B 1 and 4 C 2 and 3 D 3 and 4

23. Which of the following are features of an efficient and effective cost coding system?

1. Codes need to be complex to include all items Must be simplified 2. Each code must have a combination of alphabetic and numeric characters 3. Codes for a particular type of item should be consistent in length and structure A 1 only



B 3 only C 1 and 2 D 2 and 3

24. Secondary source of information include documents or reports written for a specific purpose.

A True B False Primary source

25. A strategy is the aim or goal of an organisation.

A True B False Objective 目标

26. Which of the following are characteristics of management accounting information?

1) Forward looking 2) Legally required characteristics of financial accounting 3) Concerned with cost control 4) Follows clearly defined standards characteristics of financial accounting A 1 and 3 only B 2 and 4 only C 1, 3 and 4 D 1, 2 and 3

27. An extract from the list of accounts of a chemical processor follows:

Cost codes Direct materials 001 to 099 Direct labour 100 to 199 Indirect materials 200 to 299 Indirect labour 300 to 399

Which of the following items is coded INCORRECTLY? Description Code

A Chemical C6 used in process 061 Direct material B Wages of process supervisor 106 indirect labour C Chemicals used for cleaning 229 indirect materials D Wages of maintenance engineer 345 indirect labour

28. Which of the following may be used for capturing or storing management accounting data

by computer? 1) Scanner input device 2) Printer output device 3) CD storing 4) Bar code reader capturing A 1 and 2 only B 3 and 4 only C 1, 3 and 4 only D All four items

29. The cost accounts of a business are kept separate from the financial accounts but the two

sets of accounts are reconciled each period. What accounting system is being described? A Cost control accounts B Cost ledger accounts C Integrated accounts D Interlocking accounts



CHAPTER 2 COST CLASSIFICATION AND COST BEHAVIOUR Illustration 1 Within the costing system of a manufacturing company the following types of expenses are incurred.

Reference

1 Cost of oils used to lubricate production machinery Product costs – indirect materials 2 Motor vehicle licenses for lorries Selling and distribution costs 3 Depreciation of factory plant and equipment Product costs – indirect expenses 4 Cost of chemicals used in the laboratory Research and development costs 5 Commission paid to sales representatives Selling and distribution costs 6 Salary of the secretary to the finance director Administration costs 7 Trade discount given to customers Selling and distribution costs 8 Holidays pay of machine operatives Product costs – indirect labour 9 Salary of security guards in raw material warehouse Product costs – indirect labour

10 Fees to advertising agency Selling and distribution costs 11 Rent of finished goods warehouse Selling and distribution costs 12 Salary of scientist in laboratory Research and development costs 13 Insurance of the company’s premises Administration costs 14 Salary of supervisor working in the factory Product costs – indirect labour 15 Cost of typewriter ribbons in the general office Administration costs 16 Protective clothing for machine operatives Product costs - indirect expenses

Required: Complete the following table by placing each expense in the correct cost classification. Cost classification Reference number Product costs 1 3 8 9 14 16

Selling and distribution costs 2 5 7 10 11

Administration costs 6 13 15

Research and development costs 4 12

Each type of expense should appear only once in your answer. You may use the reference numbers in your answer. Illustration 2

Cost Items Direct or Indirect Fabric used in chair manufacture Staples used in a book printing company Direct operatives in the factory Supervisor in the factory Training of direct workers Rental of factory Electricity and water expenses Cleaning materials

Direct materials Indirect materials Direct labours Indirect labours Indirect labours Indirect expenses Indirect expenses Indirect materials



Illustration 3 Use the high-low method to calculate the fixed and variable elements of the following costs: Month Activity $ January February March April May June

400 600 550 800 750 900

1,050 1,700 1,600 2,100 2,000 2,300

Solution:- Variable cost per unit Total fixed cost = $2,300 - $1,050 = $2,300 – (900u x $2.50/u) 900u – 400u = $50 = $2.50 per unit Illustration 4 Inspection costs for the six months to 31 December 20x9 are as follows: Month Units produced Cost ($) July August September October November December

340 300 380 420 400 360

2,260 2,160 2,320 2,400 2,300 2,266

Required: (i) Use the high-low method to calculate the fixed costs per month and the variable cost per

unit. Variable cost per unit Total fixed cost = $2,400 - $2,160 = $2,400 – (420u x $2.00/u) 420u – 300u = $1,560 = $2.00 per unit (ii) What is the estimate of the Inspection costs if 500 units produced? (Answer: $2560)

Total Inspection costs = Total fixed cost + (variable cost per unit x units produced) = $1,560 + ($2.00 per unit x 500u) = $2,560



Illustration 5 Details of product Wyexec Production Level (units) 20000 24000 35000 Total Costs ($’000) 168 200 288 (i) Calculate, using high-low method, the fixed costs and variable costs per unit of product

Wyexec. (Answer: vc/u = $8; Total FC = $8000) Variable cost per unit Total fixed cost = $288k - $168k = $288k – (35k u x $8.00/u) 35k u – 20k u = $8k

= $8.00 per unit

(ii) What will the total costs be, if company wish to produce 40000 units of product Wyexec and

with production of 36000 and above, the excess will be entitled a 30% discount on variable costs. (Answer: $318,400)

Total costs = Total fixed costs + Total variable costs = $ 8,000 + (36,000u x $8/u + 4,000u x $8/u x 0.7) = $ 318,400 Test yourself... Which of the following would be regarded as a stepped-fixed cost in the annual operation of a motor vehicle? A Hire purchase payments fixed cost

B Insurance fixed cost C Petrol variable cost D Tyre replacement stepped-fixed cost Which of the following would be classified as a fixed cost in the operation of a motor vehicle? A Oil change every 10,000 kilometres variable cost B Petrol variable cost C Insurance fixed cost D Tyre replacement stepped-fixed cost QUESTIONS 1 Which of the following would be classed as indirect labour? A Assembly workers direct labour B A stores assistant in a factory store indirect labour C Plasterers in a building company direct labour D An audit clerk in an accountancy firm direct labour 2 Direct costs are: A costs that can always be identified with a single cost unit B costs that can be identified with a single cost unit or batch of cost units



C costs that can be attributed to an accounting period D costs that change in direct proportion to the number of units produced 3 A firm is trying to find a relationship between its sales volume in a quarter and its

telephone expense that quarter.

If a sales volume of 2 million units corresponds to a telephone expense of $5,000 and sales volume of 4 million units corresponds to a telephone expense of $6,000, then if the sales volume is 5 million units, the telephone expense is likely to be:

A $2,500 B $6,500 C $7,000 D $7,500 Variable cost per unit Total fixed cost = $6k - $5k = $6k – (4m u x $0.005/u) 4m u – 2m u = $4k

= $0.005 per unit

Total costs = Total fixed cost + total variable cost = $4k + (5m u x $0.005 per unit) = $6.5k

4 The following data are records of output levels and overhead costs. January December Hours worked 18,000 21,000 Total costs $86,800 $97,438 (W1) There were 3% inflation between January and December. The variable cost per hour

worked, at January price levels and to the nearest $0.01, is: A $4.52 B $2.68 C $3.55 D $2.60 (W1) What’s the total costs before 3% inflation

$97,438 = $A x 1.03 (Total costs before 3% inflation)

$A = $97,438 ÷ 1.03

= $94,600 (W2) Variable cost per hours = $94,600 - $86,800 21,000u – 18,000u = $2.60



5 The ‘high-low’ method of cost estimation can be used to: A calculate the forecast cost for a given volume of activity B calculate the highest and lowest cost in the period C measure the actual cost of an activity D predict the range of costs expected in a period 6 The following information relates to the overhead costs of the production department:

Units of output 5,000 7,000 Overheads $21,100 $26,100 The variable overhead rate per unit is $2.50. The amount of fixed overhead is: A $5,000 Total fixed costs = Total costs – Total variable costs

B $8,600 = $26,100 – (7,000u x $2.50 per unit)

C $13,600 = $8,600

D $21,200 7 Prime cost comprises: A all variable costs B direct labour and material only C direct labour, direct material and direct expense D direct labour, direct material and production overhead 8 A semi-variable cost is one that: A increases in direct proportion to output B remains constant irrespective of the level of output C constant an element of both fixed and variable cost D increase throughout the year 9 Which of the cost listed below is NOT a fixed cost? A Insurance B Business rates C Depreciation-based on straight-line method D Materials used in production variable cost

10 Which of the following items would be treated as an indirect cost? A Wood used to make a chair B Metal used for the legs of a chair C Fabric to cover the seat of the chair D Staples to fix the fabric to the seat of the chair 11 The following data relate to two output levels of a department:

Machine hours 17,000 18,500 Overheads $246,500 $251,750 The amount of fixed overheads is; A $5,250 variable cost per unit total fixed costs B $59,500 = $251,750 - $246,500 = $251,750 – (18,500hrs x $3.50 per hour) C $187,000 18,500hrs – 17,000hrs = $ 187,000 D $246,500 = $3.50 per hour



12 What are conversion costs? A Direct costs only B Indirect costs only C Production costs excluding direct materials D Rework costs Prime costs = D.Mat + D.Lab + D.Exp POH = I.Mat + I.Lab + I.Exp Conversion costs = D.Lab + D.Exp + POH Total Production costs = Prime costs + POH or Direct costs + Indirect costs Total costs = Production costs + Non-Production costs Non-Production costs = Variable NPC + Fixed NPC 13 A particular cost is fixed in total for a period. What is the effect on the cost per unit of a reduction in activity of 50%? A Cost per unit increases by 50% B Cost per unit reduces by 50% C Cost per unit increase by 100% D Cost per unit is unchanged Eg, cost per unit will increase by 100% $1,000 = $1.00 per unit $1,000 = $2.00 per unit 1000u 500u If activity decrease by 50% 14 Total production costs and output over three periods have been:

Period Production costs Output 1 $230,485 12,610 units 2 $254,554 14,870 units 3 $248,755 14,350 units What are the estimated variable production costs per unit if the high-low method is

applied? A $10.50 variable cost per unit B $10.65 = $254,554 - $230,485 C $11.15 14,870u – 12,610u D $15.50 = $10.65 per unit 15 Total costs incurred by a business may be expressed as:

Y= a + bx Where y represent the total costs $156,980 = a + ($12.20 per unit x 7,400unit) a represents the total fixed costs a = $156,980 - ($12.20 per unit x 7,400unit)

b represents the variable costs per unit = $66,700 x represents the number of units of output

A company has variable costs of $12.20 per unit (b) and total costs, for output of 7,400 units(x) in a period, of $156,980(Y).

Using the above formula and information, what are the total fixed costs in the period?

A $42,540 B $66,700



C $90,280 D $247,260 16 A company currently produces 6,000 units of its single product each period, incurring

total variable costs of $60,000 and fixed costs of $42,000. Total costs = $102,000 Cost per unit = $17.00 Production will increase to 8,000 units per period if the company expands capacity, resulting in changes both to the variable costs per unit and to the total fixed costs. For production of 8,000 units per period total variable costs would be $76,000 and fixed costs $50,000. Total costs = $126,000 Cost per unit = $15.75

What is the reduction in total cost per unit comparing the costs for 8,000 units per period with the unit costs currently being incurred?

A $0.50 B $0.75 C $1.25 D $2.08 17 Cost Z is fixed in total for a period.

If the level of activity in the period is increased by 50% what change would occur in Cost Z per unit of activity? A Decrease by a third B Decrease by a half C Increase by a third D Increase by a half

Eg, cost per unit will decrease by 33% $1,000 = $1.00 per unit $1,000 = $0.67 per unit 1000u 1500u If activity increase by 50% 18 Production units and total costs relating to the last three periods have been:

Period 1 Period 2 Period 3 Production (units) 129,440 117,620 126,310 Total costs ($) 198,968 187,739 195,376 Using the high-low method, what is the estimated variable cost per unit of production? A $0.87 variable cost per unit B $0.95 = $198,968 - $187,739 C $1.05 129,440 – 117,620 D $1.15 = $0.95 per unit

19 Production costs have been estimated at two levels of output:

50,000 units 54,000units 55,000 units Prime costs $430,000 $473,000 Overheads $330,000 $339,000 Total costs $760,000 $812,000 Cost per unit $15.20 ? $14.76 What are the estimated production costs per unit at an output level of 54,000 units? A $14.76



B $14.84 C $15.20 D $17.00

20 A particular cost is classified as ‘semi-variable’.

What effect would a 15% reduction in activity have on the unit cost? A Increase by less than 15% B Increase by 15% C Reduce by less than 15% D Remain constant

Activity 1,000u 850u (15%) Total Variable cost (@$5/u) $5 $5 Fixed costs ($1700) $1.70 $2.00 Unit cost $6.70 $7.00 21 The following shows the cost per unit of an item of expense at different levels of activity:

Activity (units) Cost per unit ($) Total Costs ($) 1 10,000 $10,000 50 200 $10,000 100 120 $12,000 150 80 $12,000 What is the correct behavioural classification for the expense item? A Fixed cost B Semi-variable cost C Stepped-fixed cost D Variable cost

22 The table shows the total of Cost Y at different production levels of Product X:

Units of Product X Total Cost Y ($000) 50 60 100 60 fixed cost 150 60 cost increased when the production units up to another level.

200 90 fixed cost 250 90 What could have been the cause of the increase in cost? A Increased fuel and maintenance costs for delivery vehicles B Increased storage requirements

C Loss of discounts on raw materials D Pay increase for direct labour.

23 The following summary data is provided for two periods:

Production costs Output Period 1 $48,981 29,720 units Period 2 $55,893 35,480 units Using the high-low method, what are the estimated fixed costs per period? A $6,912 variable cost per unit total fixed costs B $13,317 = $55,893 - $48,981 = $55,893 – (35,480u x $1.20 per unit) C $24,214 35,480u – 29,720u = $ 13,317

D $26,326 = $1.20 per unit



Question 1 Bronze Bronze recorded the following costs for the past months.

Month Activity level Total cost Units $

1 80 6,586 2 60 5,826 3 72 6,282 4 75 6,396 5 83 6,700 6 66 6,054

(a) Estimate the fixed costs per month and variable cost per unit using the high-low method.

variable cost per unit total fixed costs = $6,700 - $5,826 = $6,700 – (83u x $38 per unit)

83u – 60u = $3,546 = $38 per unit

(b) Estimate the total costs for the following activity levels in a month:

(i) 75 units Total costs = $3,546 + (75u x $38 per unit) = $6,396

(ii) 90 units Total costs = $3,546 + (90u x $38 per unit) = $6,966

Question 2 A company manufactures and retails clothing. You are required to group the costs which are listed below and numbered 1 to 20 into the following classifications (each cost is intended to belong to only one classification):

direct materials 9 direct labour 16 direct expense 10 indirect production overhead 1 6 8 18 19 research and development costs 7 20 selling and distributing costs 11 12 13 17 administration costs 2 3 4 14 15 finance costs 5

1 lubricant for sewing machines 2 floppy disks for general office computer 3 maintenance contract for general office photocopying machine 4 telephone rental plus metered calls 5 interest on bank overdraft 6 Performing Rights Society charge for music broadcast through the factory 7 market research undertaken prior to a new product launch 8 wages of security guards for factory 9 carriage on purchase of basic new materials 10 royalty payable on number of units of product XY produced 11 road fund licenses for delivery vehicles 12 parcels sent to customers 13 cost of advertising products on television 14 audit fees 15 chief accountant’s salary 16 wages of operatives in the Cutting Department



17 cost of painting advertising slogans on delivery van 18 wages of storekeepers in materials store 19 wages of fork lift truck drivers who handle raw materials 20 developing a new product in the laboratory Question 3 Definitions (a) Define the terms ‘cost centre’ and ‘cost unit’. Answer: - Cost centre where managers are accountable for the expenses (costs) that are under their control. - Cost unit is a unit of product which has costs attached to it. It is the basic control unit for costing purposes.

(b) Distinguish between direct and indirect costs and discuss the factors which should influence whether a particular cost is treated as direct or indirect in relation to a cost unit.

Answer: - Direct costs are costs that can be directly identified and can be traced in full to a cost unit. - Indirect costs are costs that are incurred in the course of making a product or providing a service but

they are not able to be traced directly or attributable to a cost unit. - The total of direct costs is called as prime costs while the total indirect costs is called as overheads. Question 4 A firm’s cost function may be expressed as: y=a + bx y is the total cost a is the total fixed cost b is the variable cost per unit x is the number of units of output The total cost for output of 9,200 units (x) in a period is $52,600(y) and the total period fixed cost is $25,000(a). The fixed cost will increased by $5,000 for output of 12,000 units and above. Using the above information and formula, calculate: (i) The variable cost per unit;

y = a + bx $52,600 = $25,000 + (9,200u x b) b = $52,600 - $25,000

9,200u = $3 per unit (ii) The total cost for output of 10,900 units in a period;

Y = $25,000 + (10,900u x $3 per unit) = $57,700

(iii) The cost per unit for output of 8,500 units in a period;

Y = $25,000 + (8,500u x $3 per unit) = $50,500

Cost per unit = $50,500 8,500u = $5.94 per unit

(iv) The cost per unit for output of 13,000 units in a period; Y = $30,000 + (13,000u x $3 per unit) = $69,000 Cost per unit = $69,000 13,000u = $5.31 per unit



(v) Draw a graph to illustrate the total fixed cost in a period (vi) Draw a graph to illustrate the total costs for production levels from 0 units to 13,000 units. Question 5 The LiewCF Corporation is a manufacturer of a product called Alphabet Coil. Unit costs are as follows: $ Direct materials 300 (i) Direct labour 50 (ii) Variable production cost 90 (iii) Fixed production cost (depreciation of machinery) 160 (iv) Sales commission (2% of sales) 20 (v) Administrative salaries 80 (vi) Total 700 (vii) Compute the totals of Product AC for: Direct production costs : $350 (i),(ii) Indirect production costs : $250 (iii),(iv) Variable costs : $440 (i),(ii),(iii) Fixed (Period) costs : $240 (iv),(vi) Production costs : $600 (i),(ii),(iii),(iv) Total costs : $700 (vii) Illustration 1 LCF Ltd is a small company that was set up at the beginning of May 20x9 by the issue of $20,000 of shares for cash. LCF Ltd purchases three types of material: A, B and C. During the month of May 20x9 the purchases of each type of material were as follows: Material A 3 May $2,000 24 May $9,000 Material B 6 May $5,000 10 May $3,000 21 May $7,000

Material C 1 May $4,000 7 May $4,000 28 May $4,000

Purchases of materials A and B are for cash and material C is on credit of 45 days. Record these transactions in the individual inventory ledger accounts as well as the cash and creditor accounts. Material A Material B Material C 3 May $2,000 6 May $5,000 1 May $4,000 24 May $9,000 10 May $3,000 7 May$4,000 21 May $7,000 28 May $4,000 Cash Payable Share capital $20,000 1 May – C $4,000 3 May – A $2,000 7 May – C $4,000 6 May – B $5,000 28 May – C $4,000 10 May – B $3,000 21 May – B $7,000 24 May – A $9,000



Illustration 2 Classify the following costs into different categories of stock costs.

i. Petrol Charges ordering costs ii. Delivery person’s salaries ordering costs

iii. Purchasing staff’s salaries ordering costs

iv. Insurance costs for stocks holding costs v. Lost of sales stock-out costs vi. Telephone charges for making purchases ordering costs

vii. Interest costs on working capital financing holding costs viii. Rental of warehouse holding costs

ix. Administrative expenses for making purchases ordering costs x. Decrease in goodwill stock-out costs

Illustration 3 Period 1 Period 2 Period 3 Period 4 Period 5 Opening Stock 10,000 15,000 12,000 15,000 11,000

Purchases 132,000 130,000 125,000 130,000 110,000 142,000 145,000 137,000 145,000 121,000

Production Usage (127,000) (133,000) (122,000) (134,000) (121,000) Closing stock 15,000 12,000 15,000 11,000 0

llustration 4

i. There are 480 units(P) of Material X in stock. An order for 950(Q) is expected to be received and a material requisition for 550(U) has not been issued to the production cost centre. What is the free stock? Free Stock = P + Q - U = 480u + 950u – 550u = 880u

ii. There are 27,500 units(Q) of Part Number X53 on order with the suppliers and 16,250 units(U)

outstanding on existing customer’s orders. If the free stock is 13,000 units, what is the physical stock? Free Stock = P + Q - U

13,000u = P + 27,500u – 16,250u P = 13,000u + 16,250u – 27,500u = 1,750u Illustration 5 The data below relates to an item of raw material: Usage per day 250 units Minimum lead time 20 days Maximum lead time 30 days Re-order quantity 5,000 units Calculate: (i) The reorder level = max. Usage x max. lead time

= 250u x 30 days = 7500u



(ii) The maximum level = Reorder level + reorder quantity – (min. usage x min. lead time) = 7500u + 5,000u – (250u x 20days) = 7500u (iii) The minimum level = Reorder level – (avg. usage x avg. lead time) = 7500u – (250u x 25days) = 1250u Illustration 6 A national chain tyre fitters stocks a popular tyre for which the following information is available: Average usage 140 tyres per day Minimum usage 90 tyres per day Maximum usage 175 tyres per day Lead time 10 to 16 days Reorder quantity 3,000 tyres (a) Based on the data above, at what level of stocks should replenishment order be issued? The minimum level = Reorder level – (avg. usage x avg. lead time) = (175tyres x 16days) – (140tyres x 13days) = 980tyres

(b) Based on the data above, what is the maximum level of stocks possible? The maximum level = Reorder level + reorder quantity – (min. usage x min. lead time) = 2800tyres + 3,000tyres – (90tyres x 10days) = 4900 tyres Illustration 7 A large retailer with multiple outlets maintains a central warehouse from which the outlets are supplied. The following information is available for Part number SF525. Average usage 350 per day Minimum usage 180 per day Maximum usage 420 per day Lead time for replenishment 11 – 15 days Re-order quantity 6,500 units Re-order level 6,300 a) Based on the data above, what is the maximum level of stock?

The maximum level = Reorder level + reorder quantity – (min. usage x min. lead time) = 6,300u + 6,500u – (180u x 11d) = 10,820u

b) Based on the data above, what is the approximate number of Part SF525 carried as buffer

stock? The minimum level = Reorder level – (avg. usage x avg. lead time) = 6,300u – (350u x 13d) = 1,750u



Illustration 8 The following information is available in respect of component D20 Maximum stock level 8400 units Budgeted consumption Maximum 1500 units per month Minimum 800 units per month Estimated delivery period Maximum 4 months Minimum 2 months a) Reorder level

The reorder level = max. Usage x max. lead time = 1500u x 4months = 6000u

b) Reorder quantity The maximum level = Reorder level + reorder quantity – (min. usage x min. lead time) 8400u = 6000u + reorder quantity – (800u x 2months) Reorder quantity = 8400u – 6000u + 1600u = 4000u

Illustration 9 Two components A and B are used as follows: Normal usage 50 per week each Minimum usage 25 per week each Maximum usage 75 per week each Reorder quantity A 300 units; B 500 units Reorder period A 4 to 6 week; B 2 to 4 weeks Calculate for each component: a) Reorder level

The reorder level = max. Usage x max. lead time A = 75u x 6weeks = 450u B = 75u x 4weeks = 300u

b) Minimum level

The minimum level = Reorder level – (avg. usage x avg. lead time) A = 450u – (50u x 5weeks) = 200u B = 300u – (50u x 3weeks) = 150u

c) Maximum level

The maximum level = Reorder level + reorder quantity – (min. usage x min. lead time) A = 450u + 300u – (25u x 4weeks) = 650u B = 300u + 500u – (25u x 2weeks) = 750u

d) Average stock level

The Average level = (max. level + min. level) ÷ 2 A = (650u + 200u) ÷ 2 = 425u B = (750u + 150u) ÷ 2 = 450u



EXAMPLE: Washington Ltd Washington Ltd is a retailer of beer barrels. The company has an annual demand of 30,000 barrels. The barrels are purchased at a cost of $12 each. Fresh supplies can be obtained immediately (i.e. no lead time), ordering and transport costs amounting to $200 per order. The annual cost of holding one barrel in stock is estimated to be 10% of the price of a barrel. These beer barrels can be purchased in lots of 2,000, 3,000 and 5,000. Notes: Demand : D = 30,000 Cost per order : O = $200 Holding cost per unit : H = 10% x $12 = $1.20 Order sizes : Q = 2,000, 3,000 and 5,000

Total Holding Costs Costs of storage and stores operations, security and safety, interest charges, insurance costs, risk of obsolescence, deterioration, theft Total holding costs = Holding cost/unit x Average Stock = H x Q/2 = QH/2 Total Ordering Costs Clerical and administrative costs, transport costs, cost of inspection and receipt of goods Total ordering costs = Cost per order x Number of orders = O x D/Q = DO/Q Computations 1 Order size (barrels) 2,000 3,000 5,000 Total Holding Costs = H x Q/2

$1.20 x 2,000/2 = $1200

$1.20 x 3,000/2 = $1800

$1.20 x 5,000/2 = $3000

+ Total Ordering Costs = O x D/Q

$200 x 30,000/2,000 = $3000

$200 x 30,000/3,000 = $2000

$200 x 30,000/5,000 = $1200

= Stock Costs $4200 $3800 $4200 • Total Purchase Costs (Relevant if purchase discount is given) QUESTION: RUBBER-Co RUBBER-Co is a manufacturer that produces rubber shoes which requires latex as the main material. Latex is imported from another. Following are the data relates to the latex for year 20x8: Total usage (D) 225,000 kg Purchase price (P) $1 per kg Cargo charges (O) $3,500 per order Warehouse costs per kg(H) $0.375 per kg per annum Company has produced the following forecasts for the year 20x9: - Rubber usage will increase by 20% than last year 225,000kg x 1.2 = 270,000kg - Due to rubber shortage, purchase price is forecasted to increase by $0.40 per kg. $1.40 per kg - Cargo charges(O) $3,500 per order and warehouse costs(H) $0.375 per kg will remain constant at

year 20x8’s prices D = 270,000kg P = $1.40 per kg O = $3,500 per order H = $0.375 per kg

RUBBER-CO’s purchasing department is deciding to identify their order sizes and is considering order sizes of 30,000kg, 45,000kg, 60,000kg and 75,000kg



a) Produce a table which shows RUBBER-Co’s annual stock costs which comprise of ordering costs and holding costs for each order size for year 20x9

Order level (kgs) 30,000 45,000 60,000 75,000 Total Ordering costs O x D/Q

$3500 x 270k/30k $31500

$3500 x 270k/45k $21000

$3500 x 270k/60k $15750

$3500 x 270k/75k $12600

Total Holding costs H x Q/2

$0.375 x 30k/2 $5625

$0.375 x 45k/2 $8437.50

$0.375 x 60k/2 $11250

$0.375 x 75k/2 $14062.50

Total Stock costs $37125 $29437.50 $27000 $26662.50 Ps: EOQ without discount – calculate the total stock costs = Total Ordering Costs + Total Holding Costs b) Use the economic order quantity formula to determine the optimal order size and compare

the results in your answer in (a)

EOQ = 2DO = 2 x 270,000kgs x $3500 = 70,993 kgs ~ 71,000 kgs H $0.375/kg For year 20x9 RUBBER-CO receives another offer from an alternative supplier which can provide attractive discounts for bulk purchase:

Purchase quantity Discount level Less than 65,000 kg No discount 65,000 – 79,999 kg 0.8% discount 80,000 – 89,999 kg 1.0% discount

90,000 kg and above 1.2% discount c) Evaluate whether the discount scheme are worth taking. (W1) EOQ without discount is 71,000kgs. What’s the EOQ with discount? EOQ = 2 x 270,000kgs x $3,500 = 71,279 kgs $0.375/kg x 0.992 (When discount is given, the holding cost is affected. Still remember what I told you in the class?) Reorder level (kgs) 71,279 (0.8%) 80,000 (1.0%) 90,000 (1.2%) Total Ordering Costs O x D/Q

$3500 x 270,000/71279 $13258

$3500 x 270,000/80000 $11812.50

$3500 x 270,000/90000 $10500

Total Holding Costs H x Q/2

($0.375 x 0.992) x 71279/2 $13258

($0.375 x 0.99) x 80000/2 $14850

($0.375 x 0.988) x 90000/2 $16672.5

Total Purchasing Costs P x D

($1.40 x 0.992) x 270000 $374976

($1.40 x 0.99) x 270000 $374220

($1.40 x 0.988) x 270000 $373464

Total Stock Costs $401,492 $400,882.5 $400,636.5 Ps: EOQ with discount – calculate the total stock costs = Total Ordering Costs + Total Holding Costs + Total Purchasing Costs Q: If the warehouse cost is 37.5% of purchase price instead of $0.375 per kg, how will the EOQ calculations be different? Holding cost = $1.40/kg x 0.375 = $ 0.525/kg EOQ without discount Order level (kgs) 30,000 45,000 60,000 75,000 Total Ordering costs O x D/Q

$3500 x 270k/30k $31500

$3500 x 270k/45k $21000

$3500 x 270k/60k $15750

$3500 x 270k/75k $12600


$0.525 x 30k/2 $7875

$0.525 x 45k/2 $11812.50

$0.525 x 60k/2 $15750

$0.525 x 75k/2 $19687.50

Total Stock costs $39375 $32812.50 $31500 $32287.50

EOQ = 2 x 270,000kgs x $3500 = 60,000 kgs $0.525/kg



EOQ with discount Order level (kgs) 60,000 (0%) 65,000 (0.8%) 80,000 (1%) 90,000 (1.2%) Total Ordering Costs O x D/Q

$3500 x 270k/60k $15750

$3500 x 270k/65k $14538

$3500 x 270k/80k $11812.50

$3500 x 270k/90k $10500


$0.525 x 60k/2 $15750

($0.525x0.992)x 65k/2 $16926

($0.525x 0.99) x 80k/2 $20790

($0.525x0.988)x 90k/2 $23341.5


$1.40 x 270000 $378000

($1.40 x 0.992) x 270000 $374976

($1.40 x 0.99) x 270000 $374220

($1.40 x 0.988) x 270000 $373464

Total Stock Costs $409,500 $406,440 $406,822.5 $407,305.5 QUESTIONS 1. Which of the following costs would be needed in order to calculate the economic order

quantity? 1 The cost of storing materials holding costs 2 The cost of interest incurred in financing materials holding costs 3 The cost of ordering materials ordering costs 4 The cost of insuring materials holding costs A Items 1 and 2 only C Items 1, 3 and 4 only B Items 3 and 4 only D Items 1, 2, 3 and 4

2. Which of the following is NOT relevant to the calculation of the economic order quantity of a

raw material? A Ordering cost C Stockholding cost B Purchase price D Usage

3. A company currently purchases Material X in order quantities of 500 units. The annual

demand for the material is 2,500 units and the stock holding cost is $3 per unit per annum. What will be the annual stock holding costs? A $750 C $3,750 B $1,500 D $7,500 Total Holding Costs = H x Q/2

= $3/u x 2,500u/2 = $3750 4. The following information is available regarding a particular component

Component price $27 P Component usage 5,000 per month D Cost of placing an order $20 O Cost of storing components for one year 1% of stock value H = $27 x 1% = $0.27/u

The economic order quantity for the component (to the nearest unit) is: A 298 units C 2,981 units B 861 units D 15,492 units

EOQ = 2 x 5,000u x $20 = 861 units $0.27/u

Do I need to tell you what the formula of EOQ is again???! 5. James Ltd produces a product called the KIWI. The cost of the raw material used to make

the KIWI is $10 per kg (P). During a typical year 15,000 kgs (D) of the raw material are used.



The cost of a typical order for the raw material is $250(O) and the annual cost of holding stock as a percentage of cost is 10% ( $10 x 10%= $1/kg). What is James Ltd’s EOQ? A 7,500,000 kgs C 2,739 kgs B 75,000,000 kgs D 866 kgs EOQ = 2 x 15000kgs x $250 = 2739 units

$1/kg Do I need to tell you what the formula of EOQ is again???!

6. The annual demand for a stock item is 2,500 units(D). The cost of placing an order is $80(O)

and the cost of holding an item in stock for one year is $15(H). What is the economic order quantity, to the nearest unit? A 31 units C 163 units B 115 units D 26,667 units EOQ = 2 x 2500u x $80 = 163 units

$15/u Do I need to tell you what the formula of EOQ is again???!

7. A component has a safety stock of 280, a recorder quantity of 1,200 and a rate of demand

which varies between 100 and 400 per day. The average stock of the component is: A 800 C 920 B 880 D 1,480 There are two ways to calculate Average Stock. Safety stock + ½ reorder quantity (max. stock + min. stock) ÷ 2 = 280u + ½ (1200u) = 880u

8. A component has a safety stock of 500, a reorder quantity of 3,000 and a rate of demand

which varies between 200 and 700 per week. The average stock is approximately: A 2,000 C 2,500 B 2,300 D 3,500 There are two ways to calculate Average Stock. Safety stock + ½ reorder quantity (max. stock + min. stock) ÷ 2 = 500u + ½ (3000u) = 2000u

9. In the context of calculating stock control levels, what is the meant by term ‘lead time’?

A The time between raising a purchase requisition and the relevant materials being received into stock.

B The time between materials stock reaching the minimum level and a stock out occurring C The time between placing an order for materials and the relevant materials being

received into stock D The time between the current date and the date at which a stock out will occur at

current levels of usage 10. In the context of stock control, what is the reorder level?

A Amount of stock to be ordered on each occasion that an order is placed with a supplier B A stock level which actual stockholding should not exceed C A stock level below which stockholding should not fall D A stock level at which a replenishment order should be placed



11. Which of the following functions are fulfilled by a good received note (GRN)? (i) Provides information to update the stock records on receipt of goods (ii) Provides information to check the quantity on the supplier’s invoice (iii) Provides information to check the price on the supplier’s invoice A (i) and (ii) only C (ii) and (iii) only B (i) and (iii) only D All of them

Question 1 Apple Ltd Apple Ltd requires a material for production called “Orange”. Following information is relevant for year 2009. Demand for year 2009(D) 200,000 units Purchase price of Orange (P) $5 per unit Ordering costs for Orange (O) $2,000 per order Holding costs for Orange (H) $2 per unit for whole year Apple decides to order in following order sizes each time:

i. 10,000 units ii. 15,000 units iii. 20,000 units iv. 25,000 units

a) Compute the holding costs and ordering costs of Orange for Apple Ltd. Order level (units) 10,000 15,000 20,000 25,000 Total Ordering costs O x D/Q

$2000 x 200k/10k $40000

$2000 x 200k/15k $26667

$2000 x 200k/20k $20000

$2000 x 200k/25k $16000


$2 x 10k/2 $10000

$2 x 15k/2 $15000

$2 x 20k/2 $20000

$2 x 25k/2 $25000

Total Stock costs $50000 $41667 $40000 $41000 b) Prove your answer in (a) using EOQ formula, and EOQ graph

EOQ = 2 x 200,000u x $2,000 = 20,000 units $2/u Do I need to tell you what the formula of EOQ is again???!

0

10000

20000

30000

40000

50000

60000

0 10000 20000 30000

Y-Values

Y-Values



Question 2 Manufacturing Co A small manufacturing company produces a range of small tools. The tools are only sold in composite sets. The sets are packed in a plastic storage box which is ‘bought in’ from another company. The information and data below relates to the storage box:

Estimated usage for the forthcoming year (D) 1,000 boxes Basic purchase price of box (P) $10 each Delivery charges (O) $20 per order Storage costs (H) $1.00 per box per year

The company is trying to decide the size of order to place with the supplier of the storage boxes and is considering order sizes of 50, 100, 200, 250, 500 or 1,000 boxes. (a) Produce a table that shows the total annual: (i) delivery costs Total Ordering costs (ii) storage costs Total Holding costs (iii) delivery plus storage costs Total Stock costs

Order size (boxes) 50 100 200 250 500 1000 Total Ordering Costs O x D/Q

$20 x 1000/50 $400

$20 x 1000/100 $200

$20 x 1000/200 $100

$20 x 1000/250 $80

$20 x 1000/500 $40

$20 x 1000/1000 $20


$1 x 50/2 $25

$1 x 100/2 $50

$1 x 200/2 $100

$1 x 250/2 $125

$1 x 500/2 $250

$1 x 1000/2 $500

Total Stock Costs $425 $250 $200 $205 $290 $520 (b) Use the economic order quantity formula to determine an appropriate order size. The economic order quantity formula is given as:

EOQ = 2CoD Ch

Where D = Annual demand, Co = Delivery (ordering) costs, and Ch = Annual holding cost/unit EOQ = 2 x 1000 x $20 = 200 units $1/box

(c) The supplier of the storage boxes now says that it is prepared to offer bulk discount at the

following levels;

Less than 250 boxes No discount 250 – 499 boxes 2% discount 500 – 999 boxes 4% discount 1,000 boxes or more 6% discount Determine whether any of these levels of discount is worth taking.

Order level (boxes) 200 (0%) 250 (2%) 500 (4%) 1000 (6%) Total Ordering Costs O x D/Q

$20 x 1000/200 $100

$20 x 1000/250 $80

$20 x 1000/500 $40

$20 x 1000/1000 $20


$1 x 200/2 $100

($1x 0.98) x 250/2 $122.5

($1x0.96) x 500/2 $240

($1x0.94) x 1000/2 $470


$10 x 1000 $10000

($10x0.98) x 1000 $9800

($10x0.96) x 1000 $9600

($10x0.94) x 1000 $9400

Total Stock Costs $10200 $10002.5 $9880 $9890



Illustration 10 A company uses two very similar types of fixing bracket, Z99 and Z100. The brackets are purchased from an outside supplier. When the company undertakes a stock check it finds some differences as shown below:

Product Stock record Stock count Z99 100 79

Z100 80 101 What is the most likely reason for the differences between the stock record and the stock count for each bracket? A Production was higher than expected production volume should not cause differences in inventory B Some brackets were damaged during should be recorded on the individual inventory records

C A customer asked the company to supply some extra brackets of both typesshld b entered D Some brackets were put in the incorrect storage racks. Illustration 11 Failure to record stock returned to stores will result in which of the following if a physical stock-take was not undertaken? Stock Quantity Production Costs A Higher than shown on record card Higher than it should be B Lower than shown on record card Higher than it should be C Lower than shown on record card Lower than it should be D Higher than shown on record card Lower than it should be

Actual quantity > stock record = closing stock closing stock Production cost Question 1 BROUGHTON LTD Broughton Limited manufactures a single product using Material X. The following information relates to the receipts and issues of Material X during the year ended 31 December 20X9. Material X – Stock Card Receipts Issued Date Details Units Unit Cost $ Total Cost $ Units 20X9 01 Jan Balance b/f 100 4.50 450.00 03 Feb Issued 70 04 Mar Received 40 5.20 208.00 06 Jun Issued 20 17 Aug Received 50 4.90 245.00 10 Oct Issued 30 17 Nov Received 20 5.35 107.00 02 Dec Issued 30 Calculate separately the cost of each issue during 20X9 using: (i) The first-in, first-out method of pricing

Date Received Issued Balance 01 Jan 100u x $4.50 = $450 03 Feb 70u x $4.50 = $315 30u x $4.50 = $135 04 Mar 40u x $5.20 = $208 30u x $4.50 = $135

40u x $5.20 = $208 06 Jun 20u x $4.50 = $90 10u x $4.50 = $45

40u x $5.20 = $208



17 Aug 50u x $4.90 = $245 10u x $4.50 = $45 40u x $5.20 = $208 50u x $4.90 = $245

10 Oct 10u x $4.50 = $45 20u x $5.20 = $104

20u x $5.20 = $104 50u x $4.90 = $245

17 Nov 20u x $5.35 = $107 20u x $5.20 = $104 50u x $4.90 = $245 20u x $5.35 = $107

02 Dec 20u x $5.20 = $104 10u x $4.90 = $49

40u x $4.90 = $196 20u x $5.35 = $107

(ii) The last-in, first-out method of pricing

Date Received Issued Balance 01 Jan 100u x $4.50 = $450 03 Feb 70u x $4.50 = $315 30u x $4.50 = $135 04 Mar 40u x $5.20 = $208 30u x $4.50 = $135

40u x $5.20 = $208 06 Jun 20u x $5.20 = $104 30u x $4.50 = $135

20u x $5.20 = $104 17 Aug 50u x $4.90 = $245 30u x $4.50 = $135

20u x $5.20 = $104 50u x $4.90 = $245

10 Oct 30u x $4.90 = $147 30u x $4.50 = $135 20u x $5.20 = $104 20u x $4.90 = $98

17 Nov 20u x $5.35 = $107 30u x $4.50 = $135 20u x $5.20 = $104 20u x $4.90 = $98 20u x $5.35 = $107

02 Dec 20u x $5.35 = $107 10u x $4.90 = $49

30u x $4.50 = $135 20u x $5.20 = $104 10u x $4.90 = $49

(iii) The average cost method of pricing, where the average cost is calculated upon each

stock movement (that is, the weighted average method). Date Received Issued Balance

01 Jan 100u x $4.50 = $450 03 Feb 70u x $4.50 = $315 30u x $4.50 = $135 04 Mar 40u x $5.20 = $208 30u x $4.50 = $135

40u x $5.20 = $208 70u $343 Cost per unit $4.90

06 Jun 20u x $4.90 = $98 50u x $4.90 = $245 17 Aug 50u x $4.90 = $245 50u x $4.90 = $245

50u x $4.90 = $245 100u $490 Cost per unit $4.90

10 Oct 30u x $4.90 = $147 70u x $4.90 = $343 17 Nov 20u x $5.35 = $107 70u x $4.90 = $343

20u x $5.35 = $107 90u $450 Cost per unit $5.00

02 Dec 30u x $5.00 = $150 60u x $5.00 = $300 (iv) The average cost method of pricing, where the average cost is calculated at the end of

the period (that is, the periodic weighted average method). (W1) $450 + $208 + $245 + $107 = $4.81/u 100u + 40u + 50u + 20u All the stocks are issued at $4.81/u.



Question 2 K, L, M Three students, K, L and M are equal partners in a joint venture which involves them, on a part-time basis, buying and selling bags of product G. The transactions for the six months ended 30 September were stated as below. You are to assume that purchases at unit costs given were at the beginning of each month and that the sales were made at the end of each month at the fixed price $1.50 per bag.

Month Purchases Sales Bags Unit cost ($) Bags

April 1,000 1.00 500 May 500 1.20 750 June 1,000 1.00 Nil July Nil - 600 August 500 1.20 650 September 500 1.30 600 In October the student partners held a meeting to review their financial position and share out the profits but there was disagreement because each partner had priced the issues on a different basis. K had used FIFO, L had used LIFO and M had used a weighted average. It was, however, agreed that the stock remaining at the end of September should be stored until next April. (a) Show the records which each student kept of the transactions.

K: FIFO Date Received Issued Balance

April 1000u x $1 = $1000 500u x $1 = $500 500u x $1 = $500 May 500u x $1.2 = $600 500u x $1 = $500

250u x $1.2 = $300 250u x $1.2 = $300

June 1000u x $1 = $1000 250u x $1.2 = $300 1000u x $1 = $1000

July 250u x $1.2 = $300 350u x $1 = $350

650u X $1 = $650

August 500u x $1.2 = $600 650u x $1 = $650 500u x $1.2 = $600 September 500u x $1.3 = $650 500u x $1.2 = $600

100u x $1.3 = $130 400u x $1.3 = $520

L: LIFO

Date Received Issued Balance April 1000u x $1 = $1000 500u x $1 = $500 500u x $1 = $500 May 500u x $1.2 = $600 500u x $1.2 = $600

250u x $1 = $250 250u x $1 = $250

June 1000u x $1 = $1000 250u x $1 = $250 1000u x $1 = $1000

July 600u x $1 = $600 650u X $1 = $650 August 500u x $1.2 = $600 500u x $1.2 = $600

150u x $1 = $150 500u x $1 = $500

September 500u x $1.3 = $650 500u x $1.3 = $650 100u x $1 = $110

400u x $1 = $400

M: AVCO

Date Received Issued Balance April 1000u x $1 = $1000 500u x $1 = $500 500u x $1 = $500 May 500u x $1.2 = $600 750u x $1.1 = $825 500u x $1 = $500

500u x $1.2 = $600 Cost per unit $1.10 250u x $1.1 = $275

June 1000u x $1 = $1000 250u x $1.1 = $275 1000u x $1 = $1000 Cost per unit $1.02

July 600u x $1.02 = $612 650u x $1.02 = $663 August 500u x $1.2 = $600 650u x $1.10 = $715 650u x $1.02 = $663



500u x $1.2 = $600 Cost per unit $1.10 500u x $1.1 = $550

September 500u x $1.3 = $650 600u x $1.20 = $720 500u x $1.1 = $550 500u x $1.3 = $650 Cost per unit $ 1.20 400u x $1.20 = $480

(b) Show the amount each student ought to receive if the whole of the profit arising from

each method of pricing the issues was distributed. K L M

Sales ($) 4650 4650 4650 COS 3330 3460 3372 Profit 1320 1190 1278

QUESTIONS 1. A company uses the first-in, first-out (FIFO) method to price issues of raw material to

production and to value its closing stocks. Which of the following statements best describes the first-in, first-out method? A The last materials received will be the first issued to production B The first materials issued will be priced at the cost of the most recently received materials C The last materials issued will be those that were most recently received D The first materials issued will be priced at the cost of the earliest goods still in stock

2. If a company is using the first-in, first-out method for material issues at a time when materials

prices are rising this will mean which of the following? A Production costs will be lower and profits will be higher than if last-in, first-out method had

been used B Production costs will be higher and profits will be lower than if last-in, first-out method had

been used incorrect as material costs which are lower, reduce cost C Production costs will be lower and profits will be lower than last-in, first-out method had

been used incorrect as lower costs lead to higher profit. D Production costs will be higher and profits will be higher than if last-in, first-out method

had been used incorrect as material costs which are lower, reduce cost

3. If FIFO rather than LIFO was used when material prices are failing, which of the following combinations would be correct?

Production costs Profits A will be lower will be higher B will be higher will be lower C will be lower will be lower D will be higher will be higher

4. If a company wanted to ensure that its cost of production included the most recent cost for

material, it would use A Standard cost C Weighted average cost B Firs-in, first-out (FIFO) D Last-in, first-out (LIFO)

5. Which of the following is the underlying principle of the last-in, first-out (LIFO) method of pricing material issues? A The last materials received will be the first to be issued to production B The first materials issued will be priced at the cost of the most recently received materials



C The first materials issued will be priced at the cost of the earliest goods still in stock D The last materials received will be the last to be issued

6. At a time of constantly increasing prices which of the following material pricing methods will result in the lowest production costs? A First-in, first-out C Periodic weighted average cost B Last-in, first-out D Weighted average cost

7. The following statements relating to raw material pricing in a situation where raw material prices are rising consistently. 1 Production costs will be lower using weighted average pricing rather than LIFO 2 Profit will be higher using LIFO pricing rather than FIFO Production cost Profit

3 Stock values will be lower using FIFO pricing rather than weighted average. FIFO > AVCO

Are the statements true or false? A Statement 1 is true but Statement 2 and 3 are false B Statements 1 and 2 are true but Statement 3 is false C Statements 1 and 3 are true but Statement 2 is false D Statements 2 and 3 are true but Statement 1 is false

Questions 8 and 9 are based on the following data: Day Transaction Units Unit Price ($) Value ($) 1 Balance b/f 100 5.00 500 3 Issue 40 4 Receipt 50 5.50 275 6 Receipt 50 6.00 300 7 Issue 70

8. If the firs-in-first-out method of pricing is used what us the value of the issue on Day 7?

A $350 C $395 60u x $5.00 = $300

B $355 D $420 10u x $5.50 = $55 $355

9. If the last-in-first-out method of pricing is used what is the value of the issue on Day 7? A $350 C $410 50u x $6.00 = $300 B $395 D $420 20u x $5.50 = $110 $410

10. A company orders a particular raw material in order quantities of 250 units. No safety stock is held, the stockholding cost is $3 per unit per annum and the annual demand is 2,500 units. What is the total annual stockholding cost of the material? = H x Q/2

A $375 C $3,750 = $3/u x 250u/2u B $750 D $7,500 = $375

11. Wellington’s closing stock at 31 July of 400 units valued, using a LIFO flow of costs, at $10,000.

Stock movements: July 05 300 units bought for $25/unit

10 500 units issued 15 400 units bought for $22/unit 20 200 units issued

What was the value of the company’s opening stock? A $11,200 C $9,400



B $10,000 D Cannot be found July In Out Balance 5 300u x $25 400u x $A

300u x $25 10 300u x $25

200u x $A 200u x $A

15 400u x $22 200u x $A 400u x $22

20 200u x $22 200u x $A 200u x $22

Closing stock (400u) $10,000 = (200u x $22) + (200u x $A) A = $28 Opening Stock = 400u x $28 = $11,200 Data for questions 12 and 13 Movements in T for the month of August are set out below:

Goods received Issues to production Date Kgs Price ($/kg) Date Kgs

August 12 4,000 5.00 August 15 3,900 19 1,200 6.00 21 1,100 24 2,800 7.50

There were no stocks of T held at 1 August. 12. What would be the stock valuation at 31 August on a FIFO basis, to the nearest $?

A $22,200 C $22,500 B $15,000 D $18,000

Aug In Out Balance 12 4000 x $5 4000 x $5 15 3900 x $5 100 x $5 19 1200 x $6 100 x $5

1200 x $6 21 100 x $5

1000 x $6 200 x $6

24 2800 x $7.5 200 x $6 2800 x $7.5

13. What would be the closing stock valuation at 31 August 20x9, on a weighted average cost

basis to the nearest $? A $18,075 C $18,500 B $22,185 D $22,046

Aug In Out Balance 12 4000 x $5 4000 x $5 15 3900 x $5 100 x $5 19 1200 x $6 100 x $5 = $500

1200 x $6 = $7200 Cost per unit $5.92

21 1100 x $5.92 200 x $5.92 = $1184 24 2800 x $7.5 200 x $5.92 = $1184

2800 x $7.5 = 21000 Data for question 14 and 15: Edinburgh Ltd holds stock of ratchets which it uses in production. Over the last month receipts and issues were as follows:



Goods received Issues to production Date Units Price ($/kg) Date Units Opening balance 200 5.00 Period 5 300 4.50 Period 7 400 12 100 6.00 23 400 22 400 5.50 30 200 29 200 7.00

14. If FIFO stock valuation method were used, the value of stocks at the month end would be

A $1,000 C $1,100 C $1,200 D $1,400

Date In Out Balance 5 300 x $4.50 200 x $5.00

300 x $4.50 7 200 x $5.00

200 x $4.50 100 x $4.50

12 100 x $6.00 100 x $4.50 100 x $6.00

22 400 x $5.50 100 x $4.50 100 x $6.00 400 x $5.50

23 100 x $4.50 100 x $6.00 200 x $5.50

200 x $5.50

29 200 x $7.00 200 x $5.50 200 x $7.00

30 200 x $5.50 200 x $7.00 15. If LIFO stock valuation were used, the cost of issued of the ratchets issued in the month:

A $5,150 C $5,350 B $5,450 D $5,550

Date In Out Balance 5 300 x $4.50 200 x $5.00

300 x $4.50 7 300 x $4.50

100 x $5.00 100 x $5.00

12 100 x $6.00 100 x $5.00 100 x $6.00

22 400 x $5.50 100 x $5.00 100 x $6.00 400 x $5.50

23 400 x $5.50 100 x $5.00 100 x $6.00

29 200 x $7.00 100 x $5.00 100 x $6.00 200 x $7.00

30 200 x $7.00 100 x $5.00 100 x $6.00

16. The order quantity of a raw material is 2,000 kg. Safety stock of 1,200 kg is held. The

stockholding cost of the raw material is $1.20 per kg per annum. What is the total annual stockholding cost of the raw material? = H x (Q/2 + safety stock) A $1,200 = $1.20/kg x (2,000kg/2 + 1200kg) B $1,920 = $2640 C $2,640 D $3,840



17. The following transactions relate to a raw material for a period: Day Transaction Units Total value ($) 1 Balance b/f 100 500 3 Issue 40 4 Receipt 50 275 6 Receipt 50 300 7 Issue 70

The periodic weighted average method is used to price material issues. What is the value of the issue on Day 7? A $376.25 B $382.81 C $402.50 D $410.00

(W1) Average cost per unit

$500 + $275 + $300 = $5.375 100 + 50 + 50 70 x $5.375 = $376.25 18. The following statements relate to raw material pricing:

1. Profit will be lower using FIFO Production cost Profit rather than LIFO Production cost Profit. 2. Production costs will be higher using weighted average pricing rather than FIFO.

Are the above statements true or false in a situation where raw material prices are rising consistently over time?

Statement 1 Statement 2 A False False B False True C True False D True True

The following information applies to Questions 19 and 20 The re-order level of Material M is 1,600 kg and the order quantity is 1,400 kg. Lead times and usage are as follows: Lead time minimum 1 week

average 11/2 weeks maximum 2 weeks

Usage minimum 600 kg per week

average 700 kg per week maximum 800 kg per week

19. What is the maximum stock control level of Material M?

A 1,400 kg The maximum level = Reorder level + reorder quantity – (min. usage x min. lead time) B 1,950 kg = 1600kgs + 1400kgs – (600kgs x 1week) C 2,400 kg = 2400kgs D 3,000 kg



20. What is the minimum stock control level of Material M? A Nil = Reorder level – (avg. usage x avg. lead time)

B 350 kg = 1600kgs – (700kgs x 1.5weeks) C 550 kg = 550kgs D 1,000 kg

21. The following relate to the management of raw materials:

(i) holding costs per unit of stock would increase; (ii) the economic order quantity would decrease; (iii) average stock levels would increase; (iv) total ordering costs would decrease.

Which of the above would result from the introduction of buffer (safety) stocks? A (iii) only B (ii) and (iii) only C (ii), (iii) and (iv) only D (i), (ii), (iii) and (iv)

22. The following documents are used within a cost accounting system:

(i) invoice from supplier (ii) purchase order (iii) purchase requisition (iv) stores requisition

Which TWO of the documents are matched with the goods received note in the buying process? A (i) and (ii) B (i) and (iv) C (ii) and (iii) D (iii) and (iv)

23. What is the purpose of calculating an economic order quantity (EOQ) for a raw material?

A To minimise the stockholding quantity of the material B To minimise the stockholding costs of the material C To minimise the total cost of purchasing and storing the material D To enable the reorder level of the material to be established

24. The following documents are used in accounting for raw materials:

(i) Goods received note (ii) Materials returned note (iii) Materials requisition note (iv) Delivery note

Which of the documents may be used to record raw materials sent back to stores from production? A (i) and (ii) B (i) and (iv) C (ii) only D (ii) and (iii)

25. Material M is used by a manufacturer. Stock of Material M at 1 May was valued at a cost of

$3,302 (260 kg at $12.70 per kg). 500 kg were purchased on 7 May for $6,500. 410 kg of



Material M were used in production during the month. The LIFO method is applied at the end of each month. 410 kgs x $13 = $5330 What is the cost accounting entry for the issues of Material M during the month?

Debit Credit A Material stock $5,252 Work-in-progress $5,252 B Work-in-progress $5,252 Material stock $5,252 C Material stock $5,330 Work-in-progress $5,330 D Work-in-progress $5,330 Material stock $5,330

26. How is the re-order level calculated if stock-outs are to be avoided?

A Maximum usage × Maximum lead time B Maximum usage × Minimum lead time C Minimum usage × Maximum lead time D Minimum usage × Minimum lead time

27. The following information relates to a raw material stock item:

Economic order quantity 800 units (established using the formula ) Demand 12,000 units per annum Cost of holding stock $1.50 per unit per annum What is the cost of placing an order? A $27 800 = 2 x 12000u x O B $40 $1.50/u C $71 = $40 D $80

28. What is the first-in first-out (FIFO) method used for?

A Calculating normal/abnormal losses B Estimating equivalent units C Valuing raw material issues from stock D Valuing raw material receipts into stock

29. Wastage of a raw material during a manufacturing process is 20% of input quantity.

What input quantity of raw material is required per kg of output? A 0.8 kg input x kgs B 1.2 kg wastage 20% of x kgs C 1.25 kg output 80% of x kgs D 1.33 kg what’s the input quantity if output is 1 kg?

30. In the context of stock control what is the maximum stock control level?

A The level below which stock should not fall if usage is at the maximum expected B The level below which stock should not fall if average usage occurs C The level that stock should not exceed if usage is at the minimum expected D The level that stock should not exceed if average usage occurs

31. The inventory record of a raw material has the following details for a week:

Day Cost ($ per unit) Receipts (units) Issues (units) 2 260 18 3 270 12 4 10 6 14

2DO

H



The first-in first-out (FIFO) method is used for pricing issues. There was no raw material at the start of Day 1. Which was the value of the inventory on Day 5? A $5,200 B $5,220 C $5,320 D $5,400

Date In Out Balance 2 18 x $260 18 x $260 3 12 x $270 18 x $260

12 x $270 4 10 x $260 8 x $260

12 x $270 6 8 x $260

6 x $270 6 x $270

32. Average usage of a raw material is 200 kg per day, the average ordering lead time is five

days, the reorder level is 1,600 kg and the reorder quantity is 2,800 kg. What is the average raw material inventory? A 800 kg B 1,400 kg C 1,700 kg D 2,000 kg

The maximum level = Reorder level + reorder quantity – (min. usage x min. lead time) cant used because insufficient info The minimum level = Reorder level – (avg. usage x avg. lead time) = 1600kgs – (200kgs x 5days) = 600kgs (also known as SAFETY STOCK) There are two ways to calculate the average stock: Safety stock + ½ reorder quantity (max. stock + min. stock) ÷ 2 = 600kgs + ½ (2800kgs) cant used because insufficient information! = 2000kgs Question 1: Brookdale Limited Brookdale Limited is a small manufacturing company. Material MQ is one of the materials it uses in production. During the year ended 31 May 2011, the company made the following purchases and issues of the material:

Purchases Issues to Production Date Units Unit Cost $ Value $ Date Units 12 Jun 2000 100 9.00 900 18 Jun 2000 50 30 Nov 2000 80 12.25 980 20 Feb 2001 40 30 Mar 2001 50 13.80 690 There was no opening stock on 1 June 2010.

(a) Calculate the value of each issue of Material MQ, and the value of closing stock on 31 May 2001, if the company had used the weighted average method for pricing stock issue. (Note: The average stock value should be calculated after each receipt.)

Date In Out Balance 12/6 100 x $9 100 x $9 18/6 50 x $9 = $450 50 x $9 30/11 80 x $12.25 50 x $9.00 = $450

80 x $12.25 = $980 Cost per unit $11

20/2 40 x $11 = $440 90 x $11 30/3 50 x $13.80 90 x $11 = $990

50 x $13.80 = $690 Closing $ 1680



(b) For the next financial year, ending on 31 May 2012, the company expects to purchase 500 units(D) of Material XY. The material will be used at an even rate throughout the year.

The supplier has agreed to supply all the units at a fixed price of $16 per unit(P). Ordering costs for the material for next year will be $50(O) per order and stock-holding costs will be $3 per unit(H) per annum.

Prepare a table, with columns for ordering costs and stock holding costs.

Determine the Economic Order Quantity if material can only be purchased in the sizes of 100, 250 or 500. Order level (u) 100 250 500 Total Ordering costs O x D/Q

$50 x 500/100 $250

$50 x 500/250 $100

$50 x 500/500 $50


$3 x 100/2 $150

$3 x 250/2 $375

$3 x 500/2 $750

Total Stock costs $400 $475 $800

Calculate the Economic Order Quantity (EOQ) using the EOQ formula and compare this with the answer to part (b).

EOQ = 2CoD Ch

Where Co = Cost of placing an order, D = annual demand and Ch = Holding costs per unit per year

EOQ = 2 x 500u x $50

$3/u

= 129 units

(d) Name 4 methods of pricing stock issued, other than the weighted average method used in part (a) above.

(Answer: FIFO, LIFO, Standard Cost and Replacement Cost)

Question 2: Metalco Limited Metalco Limited is a small manufacturer and presently maintains stock records using the First in First out (FIFO) accounting method. Given below are the details of the receipts and issues to production for stock item A2199, for the period from 1 January 2018 to 31 December 2018.

Stock Card Description of Stock: Small steel Bracket Stock Code No: A2199 Date: 1/1/18 to 31/12/18 Date Details Receipts Issues Balance

Qty Unit Price ($)

Value ($)

Qty Unit Price ($)

Value ($)

Qty Value ($)

1 Jan Balance b/f 200 5.00 1,000.00 12 Feb Receipt 200 5.10 1,020.00 20 Feb Issue 250 12 Apr Issue 30 2 May Issue 40 13 May Issue 30 12 Oct Receipt 20 5.12 102.40 19 Nov Issue 10 21 Nov Issue 20 12 Dec Receipt 30 5.10 153.00 (a) Calculate separately the cost of each of the six issued to production on the stock card

using the First in First out (FIFO) basis, and the value of the closing in December 2018.



Date Details Receipts Issues Balance Qty Unit

Price ($) Value

($) Qty Unit

Price ($) Value

($) Qty Unit

Price ($)

Value ($)

1 Jan Balance b/f 200 5.00 1,000.00 200 5.00 1,000.00 12 Feb Receipt 200 5.10 1,020.00 200

200 5.00 5.10

1,000.00 1,020.00

20 Feb Issue 200 50

5.00 5.10

1,000.00 255.00

150 5.10 765.00

12 Apr Issue 30 5.10 153.00 120 5.10 612.00 2 May Issue 40 5.10 204.00 80 5.10 408.00 13 May Issue 30 5.10 153.00 50 5.10 255.00 12 Oct Receipt 20 5.12 102.40 50

20 5.10 5.12

255.00 102.40

19 Nov Issue 10 5.10 51.00 40 20

5.10 5.12

204.00 102.40

21 Nov Issue 20 5.10 102.00 20 20

5.10 5.12

102.00 102.40

12 Dec Receipt 30 5.10 153.00 20 20 30

5.10 5.12 5.10

102.00 102.40 153.00

(b) Calculate separately the cost of each of the six issues to production on the above stock card using the Last in First out (LIFO) basis, and the value of the closing stock in December 2018.

(Answer: $1045, $150, $200, $150, $51.20, $101.20, $353)


Price ($) Value

($) Qty Unit

Price ($) Value

($) Qty Unit

Price ($)

Value ($)


200 5.00 5.10

1,000.00 1,020.00

20 Feb Issue 200 50

5.10 5.00

1020.00 250.00

150 5.00 750.00

12 Apr Issue 30 5.00 150.00 120 5.00 600.00 2 May Issue 40 5.00 200.00 80 5.00 400.00 13 May Issue 30 5.00 150.00 50 5.00 250.00 12 Oct Receipt 20 5.12 102.40 50

20 5.00 5.12

250.00 102.40

19 Nov Issue 10 5.00 50.00 40 20

5.00 5.12

200.00 102.40

21 Nov Issue 20 5.00 100.00 20 20

5.00 5.12

100.00 102.40

12 Dec Receipt 30 5.10 153.00 20 20 30

5.00 5.12 5.10

100.00 102.40 153.00



(c) Calculate separately the cost of each of the six issues to production on the stock card using the Weighted Average basis, and the value of the closing stock in December 2018.


Price ($) Value

($) Qty Unit

Price ($) Value

($) Qty Unit

Price ($)

Value ($)


200 400

5.00 5.10 5.05

1,000.00 1,020.00 2,020.00

20 Feb Issue 250 5.05 1262.50 150 5.05 757.50 12 Apr Issue 30 5.05 151.50 120 5.05 606.00 2 May Issue 40 5.05 202.00 80 5.05 404.00 13 May Issue 30 5.05 151.50 50 5.05 252.50 12 Oct Receipt 20 5.12 102.40 50

20 70

5.05 5.12 5.07

252.50 102.40 354.90

19 Nov Issue 10 5.07 50.70 60 5.07 304.20 21 Nov Issue 20 5.07 101.40 40 5.07 202.80 12 Dec Receipt 30 5.10 153.00 40

30 5.07 5.10

202.80 153.00

(d) If a company chooses to use the First in First out Method (FIFO) at a time when material purchases prices are rising, what effect will this have on:

(i) Production costs (ii) Closing stock valuations Answer (d) (i) If a company is issuing materials to production using the FIFO basis at a time when material prices are

increasing, this will tend to lower the material cost element of production in relation to its current market price.

(ii) If a company is issuing materials to production using the FIFO basis, when material prices are increasing this will tend to mean that closing stock valuations will be reasonably close to current market prices.

Question 3: Rosedown Limited Rosedown Limited issues material to production using the last-in, first-out (LIFO) method of pricing. Given below is a partially completed stock card for Material A for the year ended 31 May 2012.

Receipts Issues Date Details Units Unit Price ($) Value $ Units 01 Jun 11 Balance b/f 100 10.50 1,050.00 03 Jul 11 Receipt 50 11.00 550.00 10 Oct 11 Issue 75 02 Jan 12 Issue 10 06 Apr 12 Receipt 30 10.75 322.50 05 May 12 Issue 40 17 May 12 Receipt 30 12.00 360.00

Calculate separately the value of each of the three issues using the last-in, first-out (LIFO) method and calculate the value of the closing on 17 May 2012

Date In Out Balance 01 Jun 11 100 x $10.50 100 x $10.50 03 Jul 11 50 x $11.00 100 x $10.50

50 x $11.00 10 Oct 11 50 x $11.00

25 x $10.50 75 x $10.50

02 Jan 12 10 x $10.50 65 x $10.50



06 Apr 12 30 x $10.75 65 x $10.50 30 x $10.75

05 May 12 30 x $10.75 10 X $10.50

55 x $10.50

17 May 12 30 x $12.00 55 x $10.50 30 x $12.00

Question 4 Shown below are the stock movements for Material X for the year ended 30 November 2012

Date Detail Units Unit price $ Value $ 01 Jan 2012 Opening stock 100 10.00 1,000.00 28 Feb 2012 Receipt 600 10.50 6,300.00 03 May 2012 Issue 430 06 Jul 2012 Receipt 350 11.00 3,850.00 17 Sep 2012 Issue 550 28 Oct 2012 Receipt 600 11.40 6,840.00 11 Nov 2012 Issue 510

(a) Calculate separately the value of each of the three issues shown above if the company

had used the Last-in, First-out (LIFO) basis. (Answer: $4515, $5935, $5814)

Date In Out Balance 01 Jan 2012 100 x $10.00 28 Feb 2012 600 x $10.50 100 x $10.00

600 x $10.50 03 May 2012 430 x $10.50 100 x $10.00

170 x $10.50 06 Jul 2012 350 x $11.00 100 x $10.00

170 x $10.50 350 x $11.00

17 Sep 2012 350 x $11.00 170 x $10.50 30 x $10.00

70 x $10.00

28 Oct 2012 600 x $11.40 70 x $10.00 600 x $11.40

11 Nov 2012 510 x $11.40 70 x $10.00 90 x $11.40

(b) Calculate separately the value of each of the three issues shown above if the company had used the First-in, First-out (FIFO) basis.

Date In Out Balance 01 Jan 2012 100 x $10.00 28 Feb 2012 600 x $10.50 100 x $10.00

600 x $10.50 03 May 2012 100 x $10.00

330 x $10.50 270 x $10.50

06 Jul 2012 350 x $11.00 270 x $10.50 350 x $11.00

17 Sep 2012 350 x $11.00 200 x $10.50

70 x $10.50

28 Oct 2012 600 x $11.40 70 x $10.50 600 x $11.40

11 Nov 2012 70 x $10.50 440 x $11.40

160 x $11.40

When stock is physically counted the quantities counted may differ from the quantities on stock record cards.

Give three reasons that could cause such differences. (Answer: genuine mistakes in handling and recording inventory movements, theft and wastage)



Question 5: Material Q A company expects to use 1,000 kilos (D) of Material Q next year. The material will be used at an even rate throughout the year. It is expected that the cost of placing an order will be $50(O) per order and the cost of holding one unit of material in stock will be $3(H) per annum.

The economic order quantity (EOQ) can be calculated by constructing a table of values. Shown below is a partially completed ‘table of values’ for the orders sizes that are available for Material Q.

Order size No of orders Average stock Order size/2

Ordering cost DO/Q

Holding costs QH/2

Total ordering & holding costs

(kilos) (Units) $ $ $ 100 10 (a)50 (e)500 (i)150 (m)650 200 5 (b)100 (f)250 (j)300 (n)550 500 2 (c)250 (g)100 (k)750 (o)850

1,000 1 (d)500 (h)50 (l)1500 (p)1550 Calculate and tabulate the values of each of the letters (a) to (p) above that are needed to complete the table correctly. Note: From the figures calculated, we can see that the order quantity of 200 kilos results in the lowest cost.

Question 6: Material X The information below shows the purchases and issues of Material X for the three month period ended 30 November 2009.

Date Details Units $ per unit Value $ 01 Sep 09 Balance b/f 10 12.00 120.00 02 Sep 09 Receipt 90 13.00 1,170.00 10 Oct 09 Issue 80 26 Oct 09 Receipt 180 14.00 2,520.00 12 Nov 09 Issue 60 22 Nov 09 Issue 80 24 Nov 09 Receipt 60 14.51 870.60 28 Nov 09 Issue 60

(a) If the ‘last-in, first-out’ (LIFO) method was used calculate (i) The value of EACH of the four issues (ii) The value of the closing stock on 28 November 2009

Date In Out Balance 01 Sep 09 10 x $12 02 Sep 09 90 x $13 10 x $12

90 x $13 10 Oct 09 80 x $13 10 x $12

10 x $13 26 Oct 09 180 x $14 10 x $12

10 x $13 180 x $14

12 Nov 09 60 x $14 10 x $12 10 x $13 120 x $14

22 Nov 09 80 x $14 10 x $12 10 x $13 40 x $14

24 Nov 09 60 x $14.51 10 x $12 10 x $13 40 x $14 60 x $14.51

28 Nov 09 60 x $14.51 10 x $12 10 x $13 40 x $14



(b) If the average cost method was used (where the average cost is recalculated upon each receipt) calculate

(i) The value of EACH of the four issues (ii) The value of the closing stock on 28 November 2009

Date In Out Balance 01 Sep 09 10 x $12 02 Sep 09 90 x $13 10 x $12 = $120

90 x $13 = $1170 Cost per unit $12.90

10 Oct 09 80 x $12.90 20 x $12.90 26 Oct 09 180 x $14 20 x $12.90

180 x $14 Cost per unit $13.89

12 Nov 09 60 x $13.89 140 x $13.89 22 Nov 09 80 x $13.89 60 x $13.89 24 Nov 09 60 x $14.51 60 x $13.89

60 x $14.51 Cost per unit $14.20

28 Nov 09 60 x $14.20 60 x $14.20 For both parts (a) and (b) all values should be shown in $’s and cents. Note: Stock cards are not required, but may be produced if this is of assistance in answering the questions.

CHAPTER 4 LABOUR COSTS Illustration 1 Kelvin works as an operator in a factory. Normal working time is 8-hour day for 5 days week. Kelvin worked a total 58 hours in week 3. Basic rate is $8 per hour. Overtime premium is paid at ½ of basic. Calculate the total labour pay to Kelvin: Normal Time Basic (8hrs x 5days x $8/hr) $320 Overtime Pay : Basic (18hrs x $8/hr) $144 : Premium (18hrs x $8/hr x ½) $ 72 TOTAL LABOUR PAY $536 Illustration 2 Andrew works as an operator in a factory. Normal working is 9-hour day for 6 days week. Andrew worked a total 62 hours in week 8. Basic rate is $10 per hour. Overtime pay is at 1.75 of basic. Calculate the total labour pay to Andrew: Normal Time Basic (9hrs x 6days x $10/hr) $540 Overtime Pay (8hrs x $10/hr x 1.75) $140 TOTAL LABOUR PAY $680 Illustration 3 A worker worked for 2 weeks. He is supposed to work 35 basic hours each week. Details of his work are: Week Hours worked Basic rate per hour Overtime premium 1 35 $6.00 $2.00 2 42 $6.00 $2.00

Calculate his total wages for the weeks of work.

TOTAL BASIC PAY



Week 1: Normal Time Basic (35hrs x $6/hr) $210 Week 2: Normal Time Basic (35hrs x $6/hr) $210 Overtime Pay (7hrs x $8/hr) $156 TOTAL LABOUR PAY $366 OT Pay (加班费) = Basic Rate $6 + OT Premium $2 Still remember how to classify it? Direct or Indirect? Illustration 4 SesameStreet & Co employs 20 direct production staff in its manufacturing department. The normal operating hours for all employees is 36 hours (normal working hours) per week. The staffs are paid a basic rate of $4.00 per hour. Overtime hours are paid at the basic rate + 60% (OT Pay$6.4 = $4 x 1.6). During a particular week, all employees worked for 45 hours (OT 9 hours). Compute the total labour cost incurred by SesameStreet & Co for the week. Normal Time Basic (36hrs x $4/hr) $144.00 Overtime Pay (9hrs x $6.40/hr) $ 57.60 Earning per staff $201.60 x) no. of production staffs 20 TOTAL LABOUR COSTS $4032.00 Illustration 5 Company B currently employs 4 production operatives. Each employee works for 40 hours (Total

normal hours worked is 160) per week and is paid $6.00 per hour. Overtime premium is paid at a rate of 50% of the basic rate. All the production operatives are used to make Product Y, for which there is a standard time of two labour hours. For production quantities of 90 units, 100 units and 110 units respectively calculate the following budgeted figures: Units 90 100 110 Total labour needed @ 2hr/u 180hrs 200hrs 220hrs Total basic Pay @ $6/hr $1080 $1200 $1320

Total overtime premium @ $6/hr x 50% $60 $120 $180

Total labour cost $1140 $1320 $1500

Average cost per unit ( to the nearest cents) $12.67 $13.20 $13.64 Note: Normal time 160 hrs The company is proposing to change the existing remuneration method to a new scheme. Under the new scheme each production operative will be paid $6.10 per hour for all hours worked. There will be no overtime premium, but each worker will receive $2.50 for each unit produced in excess of 90 units. For weekly production quantities of 90 units, 100 units and 110 units, calculate the cost per unit (to the nearest penny). Units 90 100 110 Total labour needed @ 2hr/u 180hrs 200hrs 220hrs

Total time Pay @ $6.10/hr $1098 $1220 $1342

Total output @ $2.50/u - $25 $50

Total labour cost $1098 $1245 $1392

Average cost per unit ( to the nearest cents) $12.20 $12.45 $12.65 Total cost and cost per unit are dropped in the new scheme!!



Illustration 6 Alvin is a assembly-operator in a factory. Alvin achieved the following outputs:- 250 units of product X, Piecework rate $0.30 per unit 350 units of product Y, Piecework rate $0.40 per unit 100 units of product Z, Piecework rate $0.35 per unit Calculate the gross wages for Alvin. Product X (250u x $0.30/u) $75.00 Product Y (350u x $0.40/u) $140.00 Product Z (100u x $0.35/u) $35.00 Total Labour Cost $250.00 Illustration 7 Sonia works in a factory. Her duty is to pack bottle drinks into plastic container. The factory operates a differential piecework scheme as follows for good bottles packed:- Up to 100 bottles a day 15 cent/unit 101 – 150 bottles a day 18 cent/unit 151 – 200 bottles a day 21 cent/unit 201 bottles and above 25 cent/unit Following are the results achieved by Sonia for the past 3 days: Bottles handled Broken bottles Monday 165 18 Tuesday 180 22 Wednesday 220 15 Calculate the gross wages for Sonia for the each 3 days and in total. 165 – 18 = 147 180 – 22 = 158 220 – 15 = 205 First 100 units @ $0.15/u 100 x $0.15 = $15.00 100 x $0.15 = $15.00 100 x $0.15 = $15.00 Next 50 units @ $0.18/u 47 x $0.18 = $8.46 50 x $0.18 = $9.00 50 x $0.18 = $9.00 Next 50 units @ $0.21/u 8 x $0.21 = $1.68 50 x $0.21 = $ $10.50 Next >201 units @ $0.25/u 5 x $0.25 = $1.25 TOTAL $23.46 $25.68 $35.75 Illustration 8 A company operates a piecework scheme with a guaranteed earning as follows:- Up to 50 units $0.70 per unit 51 – 80 units $0.80 per unit 81 and above $0.90 per unit All workers are guaranteed a pay of $50 per day irregardless of output achieved. Ricky Vicky Ticky Production 68 units 75 units 62 units Calculate the gross wages for each labour. Ricky Vicky Ticky First 50u @ $0.70/u 50 x $0.70 = $35 50 x $0.70 = $35 50 x $0.70 = $35 Next 30u @ $0.80/u 18 x $0.80 = $14.40 25 x $0.80 = $20 12 x $0.80 = $9.60 >81u @ $0.90/u Day earning $49.40 $55 $44.60 Vs Vs Vs Vs Guaranteed pay $50 $50 $50 $50 $55 $50



Illustration 9 Co AHBOY operates a piecework scheme to pays its staff at $0.20 for each unit of good output produced. However, the company guarantees that every member of staff will receive at least $18 per day. Shown below is the number of units produced by BEARD, one of the employees, during a recent week: Day Mon Tues Wed Thurs Fri Units produced 94 77 83 65 96 Units rejected 4 7 8 5 6 What are BEARD’s earning for the week? Day Mon Tues Wed Thurs Fri Good output 90 70 75 60 90 Rate @ $0.20/u $18 $14 $15 $12 $18 Day earning $18 $14 $15 $12 $18 Guaranteed pay $18 $18 $18 $18 $18 $18 $18 $18 $18 $18 Illustration 10 The following information is available: Normal working day 8 hours Guaranteed rate of pay (on time basis) $5.5 per hour Standard time allowed producing 1 unit 3 minutes Piecework price $0.1 per standard minute For the following levels of output produced in one day: - 80 units - 120 units - 210 units Calculate earning based on piecework, where earning are guaranteed at 80% of time based pay. 80 units 120 units 210 units Piecework pay ($0.1/min x 3 min) $24.00 $36.00 $63.00 Guaranteed pay ($5.5/hr x 8hr/day x 80%) $35.20 $35.20 $35.20 $35.20 $36.00 $63.00 Illustration 11 LiewCF Ltd is a book printer. All books are required to be wrapped before being distributed to stores for sales. Wrapping 1 book will require 2 minutes. Calculate the bonus payable to Kenny if he wrapped 280 books in an 8-hour-day. Kenny is paid an hourly rate of $4/hour. LiewCF Ltd operates a bonus scheme payable on time saved using the following formula.

[(Time taken ÷ Time allowed) x Hourly rate x Time Saved] Time Taken = 8 hours Time Allowed = 280books x 2min/60min = 9.33 hours Time Saved = Time Allowed – Time Taken = 1.33 hours Bonus = [(8hrs/9.33hrs) x $4/hr x 1.33hrs = $4.56 Illustration 12 A factory manufactures two products, namely BR and JX which require a standard labour time per unit of 20 minutes and 45 minutes respectively.



Two categories of workers are involved in the production of BR and JX. The labour records for week 10 are given below:

Categories No of Employees Rate per hour Total actual hours worked Skilled

Unskilled 30 50

$8 $5

1380 2200

The normal working week is 40 hours; overtime is paid at a premium of 50% of the normal hourly rate. Calculate the total payroll showing the basic pay and overtime premium. Skilled : Basic (1380 hrs x $8) $ 11040 : OT Premium (180 hrs X $8 x 50%) $ 720 Unskilled : Basic (2200 hrs x $5) $11000 : OT Premium (200 hrs x $5 x 50%) $500 $23260 Illustration 13 Based on the data below, you are required to calculate the remuneration of each employee, as determined by each of the following methods: (i) Hourly rate (ii) Basic piece rate (iii) Individual bonus scheme, where employee receives a bonus in proportion of the time

saved to the time allowed Name of employee Units produced Time allowed in minutes per unit Time taken in hours Rate per hour Rate per unit

P 270 10 40 $

1.25 0.20

M 200 15 38 $

1.05 0.25

R 220 12 36 $

1.20 0.24

(i) Hourly Rate Employee P M R Hours worked 40 38 36 $/hr 1.25 1.05 1.20 Total ($) 50 39.90 43.20 (ii) Basic piece rate Employee P M R Units produced 270 200 220 $/u 0.20 0.25 0.24 Total ($) 54 50 52.80 (iii) Bonus Employee P M R Units produced 270 200 220 Hr/u 10/60 15/60 12/60 Time Allowed 45 50 44 Time Taken 40 38 36 Time Saved 5 12 8 Bonus Tt x Ts x $/hr Ta

40 x 5 x $1.25 = $5.56 45

38 x 12 x $1.05 = $9.58 50

36 x 8 x $1.20 = $7.85 44



Illustration 14 Bossman Ltd assembles small packing cases. These are assembled in Department 7. The operatives in the department are paid a basic $2.00 per hour for each hour worked, but may also receive a bonus. The standard time for the assembly of the packing cases is 20 per hour. Bonuses are calculated by the following formulae:

Tt x Ts x $2.20 Ta Where Tt = the total time taken, Ta = the total time allowed, Ts = the total time saved

The number of cases assembled and hours worked by one operative for the last week of December, were as follows:

Days Cases assembled Hours worked 1 190 8 2 185 8 3 180 7 4 200 8 5 140 6

Calculate the total amount payable to the operative of Bossman Ltd for the last week December.

Day 1 2 3 4 5 Cases assembled 190 185 180 200 140 Time Allowed 9.5 9.25 9 10 7 Time Taken 8 8 7 8 6 Time Saved 1.5 1.25 2 2 1 Bonus Tt x Ts x $/hr Ta

8 x1.5x$2.2 9.5 =$2.78

8 x1.25x$2.2 9.25 =$2.38

7 x 2 x$2.2 9 =$3.42

8 x 2 x$2.2 10 =$3.52

6 x 1 x$2.2 7 =$1.89

Hourly Rate @$2/hr

$16.00 $16.00 $14.00 $16.00 $12.00

Total $18.78 $18.38 $17.42 $19.52 $13.89 Illustration 15 a) Producing product A will require 20 minutes of skilled labour. In Econ System Ltd, 25 skilled

labours are employed. For the month of June, 10,500 units(AO) of Product A are produced. Assuming that June 20 working days with 7 hours per day(Total hrs worked 3500 = 25 labours x 7hrs x

20days) and no overtime is worked; calculate the labour efficiency ratio for Econ System Ltd. How to calculate Efficiency Ratio? Efficiency Ratio (E) = Std hrs for AO(S) x 100% Actual hrs worked (A) (S) = Time Allowed (A) = Time Taken Time Allowed = AO x Std hr/u = 10500u x 20/60 hr = 3500hrs Time taken = Total hrs worked = 3500 hrs Efficiency Ratio (E) = 3500 hrs x 100% = 100% 3500 hrs

b) Assuming 1 labour hour skilled labour is paid at $20 per hour. Calculate the labour cost for

Econ System Ltd based on the labour efficiency you’d calculated in part (a). Total labour cost 3500 hrs x $20/hr = $70,000



c) Calculate the additional labour costs for Econ System Ltd if the labour efficiency ratio is only 80%. Efficiency Ratio (E) = 3500 hrs x 100% = 80% Actual hrs Actual hrs = 4375 hrs Additional hrs worked = 875 hrs Additional Labour cost = 875 hrs x $20/hr = $17500

Illustration 16 Tank Ltd budgets to produce 30,000 units of X during a budget period of 90,000 hours. During that period, actual output produced were 31,000 units of X which took 96,000 hours to make. Calculate the efficiency, capacity and volume ratios. Budgeted output 30,000u Budgeted hours worked (B) 90,000 hrs Std hr/u = 3hr/u Actual output 31,000u Actual hours worked (A) 96,000 hrs Std hours for AO (S) 93,000 hrs Efficiency ratio (E) = (S)/ (A) x 100% = 93,000hrs/96,000hrs x 100% = 96.88% Capacity ratio (C) = (A)/(B) x 100% = 96,000hrs/90,000hrs x 100% = 106.67% Volume/Activity ratio (A) = (S)/ (B) x 100% = 93,000hrs/90,000hrs x 100% = 103.33% Activity Ratio = Capacity ratio x Efficiency ratio Do I need to remind you again?! Illustration 17 HEEKC Ltd provided you the following information for the year 2009. Employees at 1st Jan 2009 190 Employees at 31st Dec 2009 210 Employees resigned in 2009 35 Employees replaced 28 Employees newly recruited 27 Required: Compute the labour turnover rate for HEEKC using both methods above!

(W1) Average = Beginning + Ending = 190 + 210 = 200 2 2

[Better approach] Labour turnover ratio = No. of employees left, subsequently replaced x 100 Average no. of employees

= 28 x 100% = 14% 200 [Acceptable approach] Labour turnover ratio = No. of employees left x 100 Avg no. of employees

= 35 x 100% = 17.5% 200



QUESTION 1: FINISHING DEPARTMENT The finishing department in a factory has the following payroll data for the month just ended:

Direct workers Indirect workers Total attendance time (including overtime) Productive time Non-productive time: Machine breakdown ID Waiting for work ID Overtime 60%D; 40%ID Basic hourly rate Group bonuses Employers’ National Insurance Contributions

2,640 hours 2,515 hours

85 hours 40 hours

180 hours $5.00

$2,840 $1,460

940 hours - - -

75 hours $4.00 $710 $405

Overtime, which is paid at 140% of basic rate, is usually worked in order to meet the factory’s general requirements. However, 40% of the overtime hours of both direct and indirect workers in the month were worked to meet the urgent request of a particular customer. a) Calculate the gross wages paid to direct workers and to indirect workers in the month.

Direct Workers $ Basic Rate Pay (2640hrs – 180hrs) x $5/hr 12,300 (Total Hrs – OT Hrs) OT Pay 180hrs x $5/hr x 1.4 1,260 Group Bonuses 2,840 Gross Wages 16,400 Employers’ NIC 1,460 Total Labour Costs 17,860 Indirect Workers $ Basic Rate Pay (940hrs -75hrs) x $4/hr 3,460 OT Pay 75hrs x $4/hr x 1.4 420 Group Bonuses 710 Gross Wages 4,590 Employers’ NIC 405 Total Labour Costs 4,995

b) Analyse the labour costs, showing the corresponding amount treated as direct labour cost and indirect (overhead) labour cost. Direct Workers $ Productive Time 2,515hrs x $5/hr 12,575 OT Premium 180hrs x 40% x $5/hr x 0.4 144 Indirect Workers OT Premium 75hrs x 40% x $4/hr x 0.4 48 Total Direct Labour Costs 12,767 Direct Workers Non-Productive Time: Machine Breakdown 85hrs x $5/hr 425 Waiting for work 40hrs x $5/hr 200 OT Premium 180hrs x 60% x $5/hr x 0.4 216 Group Bonuses 2,840 Employers’ NIC 1,460

Indirect Workers Basic Rate Pay 940hrs x $4/hr 3,760 OT Pay 75hrs x 60% x $4/hr x 0.4 72 Group Bonuses 710 Employers’ NIC 405 Total Indirect Labour Costs 10,088



QUESTION 2: DEPARTMENT A The following information relates to the wages paid to workers for a four-week period in a factory department (Department A) where two products M & N are manufactured: All workers are paid at hourly rates. Basic rates (gross) are $8.00 per hour for direct workers and $6.00 per hour for indirect workers for a 40 hour week. The department employs 24 direct workers and 9 indirect workers. Overtime is regularly worked to meet general production requirements and is paid at a premium of 25% over basic rate for all workers. Overtime hours in the four week period were 256 and 84 for direct and indirect workers respectively. Notes: Direct Labour Hrs: Normal 24 workers x 4 weeks x 40hrs = 3,840 hrs OT = 256 hrs Indirect Hrs: Normal 9 workers x 4 weeks x 40hrs = 1,440 hrs OT = 84 hrs Production of the two products during the four week period was:

Product M – 9,640 units in 1,620 hours of direct workers’ time Product N – 22,800 units in 2,270 hours of direct workers’ time

Idle Time = Normal 3,840 hrs + OT 256 hrs – production 3890 = 206 hrs The balance of the direct workers’ time in the period was non-productive time. (i) Calculate the gross wages, for the four week period in Department A, for both direct workers

and indirect workers. Direct Labour Basic Rate 3,840hrs x $8/hr $30,720 OT 256hrs x $8/hr x 1.25 $ 2,560 Idle Time 206hrs x $8/hr $ 1,648 Total $34,928 Indirect Labour Basic Rate 1,440hrs x $6/hr $8,640 OT 84hrs x $6/hr x 1.25 $ 630 Total $9,270 (ii) Analyse Department A wages, showing detailed calculation of both direct and indirect

wages. Direct Labour Basic Rate: Normal 3,840hrs x $8/hr $30,720 : OT 256hrs x $8/hr $2,048 Total Direct wages $32,768 Direct Labour OT Premium 256hrs x $8/hr x 0.25 $512 Idle Time $1,648 Indirect Labour Basic Rate 1,440hrs x $6/hr $8,640 OT 84hrs x $6/hr x 1.25 $ 630 Total Indirect Wages $11,430 QUESTION 3: BARWELL LIMITED Barwell Limited manufactures a single product, Product X. Production operatives are paid a basic wages of $3 per hour worked, but an additional 50% premium will be paid for any overtime hours. The basic working week is 38 hours.



During the month ended 31 March 2011, there were 4 weeks of production and the company employed 30 production operatives. No Overtime was worked during the month and all 30 operatives worked for the full 38 hours for each of the 4 weeks of production. During the month 456 units of Product X were made. Notes: Total normal working hours 30 operatives x 38hrs x 4 weeks 4560hrs a) Calculate labour cost for a single unit of Product X made in the month ended 31 March 2011

Total labour costs 4560hrs x $3/hr $13,680 Labour cost per unit $13,680 ÷ 456 units $30/u

b) The information below relates to the hours worked by 3 production operatives during the month ended 30 April 2011

Operative A : 140 basic hours and 17 hours overtime Operative B : 150 basic hours and 22 hours overtime Operative c : 120 basic hours and 20 hours overtime

Calculate separately the total wages earned by each of Operative A, B and C during the month ended 30 April 2011.

Operatives A B C Basic Rate @ $3/hr 420 450 360 OT @ $3/hr x 1.5 76.50 99 90 Total 496.50 549 450

c) The company is considering introducing a bonus scheme for next year. The details of the scheme are as follows: In order to calculate the bonus a standard production time of 10 hours is to be allowed for each good unit of Product X. Rejected units does not qualify for the bonus. The bonus will be calculated using the following formula:

Bonus = Time Saved x 50% basic rate per hour Assume that the scheme was introduced and that in the month of January 2002 the production staff worked for a total of 4,200 basic hours. During the month assume that 500 units of Product X were made, of which 50 units were rejected as faulty. The basic rate of pay will remain at $3 per hour.

(i) Calculate the total basic wages that would be payable to the production operatives for January. 4,200 hrs x $3/hr = $12,600

(ii) Calculate the total bonus that would be payable to the production staff for January Time Allowed (500u-50u) x 10hrs/u 4,500hrs Time Taken 4,200hrs Time Saved 300hrs Bonus = 300hrs x 50% x $3/hr = $450

(iii) Briefly explain why a company might have to increase the inspection of finished goods if a

bonus scheme is introduced. • Increase in productivity however it will affect the quality of output.

d) Overtime premium could be treated as a direct labour cost or could be treated as part of the overhead cost. Explain the circumstances under which overtime premium would be treated as a direct labour cost and those in which it would be treated as an overhead cost. • OT is special requested by customer OT Premium Direct • If OT is general and common OT Premium Indirect

QUESTION 4: KEYSIA LTD



Keysia Ltd manufactures 3 types of computer boards. Department Assembly is responsible for the assembly of the keyboards and the operatives are paid on a piecework basis: The piecework time allowance for each of the keyboard is as follows:

Type AB - 12 minutes Type CD - 15 minutes Type EF - 18 minutes

The piecework rate for the operatives is $0.50 per minute produced but this is not paid for any keyboards that are rejected as being faulty. The table below shows the number of keyboards of each type assembled by 3 operatives for the last week of November year 2013. Keyboard Type Operative 1 Operative 2 Operative 3 AB CD EF AB CD EF AB CD EF Day 1 22 10 6 8 20 16 8 14 8 Day 2 21 11 6 18 16 16 8 13 8 Day 3 18 13 6 8 14 18 8 10 6 Day 4 20 9 6 20 10 0 8 12 8 Day 5 19 7 6 16 10 0 8 1 10 The total number of reject for each operative for the week were as follows: Keyboard Type Operative 1 Operative 2 Operative 3 AB CD EF AB CD EF AB CD EF Rejects 4 2 1 3 4 5 2 2 1 Calculate the total amount payable to each of the 3 operatives of Keysia Ltd under the piecework scheme for the last week of November 2013. Qualified 96 48 29 67 66 45 38 48 39 minutes 1152 720 522 804 990 810 456 720 702 Total minutes 2394 2604 1878 Total $1197 $1302 $939 QUESTION 5: AMALGAMATED LIMITED Amalgamated Limited is a manufacturer of a product used in the motor industry. The product is assembled from various parts and the production operatives are paid on a piecework basis. The piecework scheme to be applied to all good production in a week is as follows: 0 – 100 units : $0.40 per unit 101 – 200 units : $0.48 per unit 201 – 300 units : $0.56 per unit Over 300 units : $0.64 per unit Rejected production does not qualify for payment. It should also be noted that only additional units qualify for the higher rates. Given below is the output for three operatives for the week ending 31 October 2011. Operative A B C Output (including rejects) 520 units 600 units 480 units Rejects 19 units 62 units 10 units

(i) Calculate separately the earnings of each of operatives A, B and C for the week ending

31 October 2001.



Qualified 501u 538u 470u 0 – 100 units @ $0.40/u $40 $40 $40 101 – 200 units @ $0.48/u $48 $48 $48 201 – 300 units @ $0.56/u $56 $56 $56 Over 300 units @ $0.64/u $128.64 $152.32 $108.80 Total $272.64 $296.32 $252.80 (ii) What is one advantage to an employer if they use a piecework scheme?

• Incentive to increase output – increase productivity • Earnings are related to individual ability

(iii) What is one disadvantage to an employer if they use a piecework scheme? • Incentive efficiency leads to decreasing effectiveness • Lower security: no-production-no-wage

QUESTION 6: COMPANY A The following information relates to the output achieved by Company A for the year ended 31 October.

Product Production in units Standard labour time per unit A 127,000 15 minutes B 72,500 30 minutes

The production staffs receive an annual bonus, the basis of which is as follows:

Bonus = time saved x 50% x basic rate per hour (Where: time saved = time allowed – time taken)

Staffs are paid on an hourly basis plus an annual bonus. During the year ended 31 October the production staff actually worked 66,250 hours. The basic rate of pay throughout the year was $4.10 per hour.

a) Calculate the total bonus earned by the production staff for the year ended 31 October 2012, based on the above scheme.

Time allowed A 127,000u x 15min/60min 31,750 B 72,500u x 30min/60min 36,250 68,000 Time Taken 66,250 Time Saved 1,750 Bonus = 1,750hrs x 50% x $4.10/hr $3,587.50 b) On the assumption that the company employed 40 production staff for 50 weeks during the

year ended 31 October 2012, calculate the average weekly earnings for a single employee. No overtime was worked.

Basic Earnings 66,250hrs x $4.10 $271,625 Bonuses (a) $3,587.50 Total $275,212.50 Earnings per employee $275,212.50 ÷ 40 employees ÷ 50 weeks $137.61 QUESTION 7 A company manufactures a single product. Currently, the company employs a team of six direct operatives who produce a total of 2,500 units of the product in a 40-hour week. The hourly rate of pay for all operatives is $8.00.



In an effort to improve productivity, and thus to increase output in the normal 40-hour week, an incentive scheme has been suggested. The scheme, which the six operatives have agreed to trial over a 4-week period, provides for differential piecework payments in addition to a reduced basic rate per hour. Details of the scheme are: Basic hourly rate $4.00 per hour Differential piecework rates: First 2,500 units of output in a week $0.375 per unit Output 2,501 to 3,000 units in a week $0.45 per unit on additional units over 2,500 Output over 3,000 units in a week $0.60 per unit on additional units over 3,000 In the first week of the trial, total output was 3,080 units in the 40 hours worked. Required: (a) For the existing time rate payment system, calculate:

(i) The labour cost per unit, based on the current weekly output of 2,500 units; Labour cost per unit (Output 2,500 units per week): (6 operatives x 40hrs x $8/hr) $1,920 $1,920 ÷ 2,500 units $0.768 per unit

(ii) the % change in the labour cost per unit if weekly output in the 40 hours worked could be increased to 2,750 units.

% change in labour cost per unit (output 2,750 units per week): $1,920 ÷ 2,750 units $0.698 per unit Reduction in unit cost [($0.768 - $0.698) ÷ $0.768] x 100% 9.1% (b) For the incentive scheme, calculate:

(i) The labour cost per unit, based on the results of the first week of the trial; Labour cost per unit (output 3,080 units per week) Basic: $ 6 operatives x 40hrs x $4/hr 960.00 Differential piecework: 2,500 units x $0.375/u 937.50 500 units X $0.45/u 225.00 80 units x $0.60/u 48.00 1,210.50 2,170.50 $2,170.50 ÷ 3,080 units = $0.705 per unit

(ii) The level of output in a 40 hour week at which total labour cost would be the same as under the existing time rate payment system.

Level of output for common total labour cost $ Current system cost 1,920.00 Less: Incentive scheme basic 960.00 Piecework payments 960.00 Less: Incentive scheme initial piecework 937.50 (for 2,500 units) Additional piecework payments 22.50 $22.50 ÷ $0.45 per unit = 50 units (in excess of previous level) Level of output = 2,550 units (2,500 + 50)



QUESTION 8 The following details relate to the labour in a production cost centre for a period:

Direct personnel Indirect personnel Hourly rates of pay: Basic $10.00 $7.00 Overtime $13.00 $9.10 Payroll hours: Productive 310 118 Idle 18 4

–––– –––– Total 328 122

–––– –––– Additional information: 1. The basic rates of pay apply to a normal working week of 38 hours 2. There are eight direct personnel and three indirect personnel in the cost centre 3. Overtime is worked from time to time to meet the general requirements of production 4. Idle time is regarded as normal. Required: Calculate the total amounts: (i) paid to the direct personnel and the indirect personnel respectively; Direct Labour Basic Paid (8staffs x 38hrs x $10/hr) $3,040 OT Paid (8 staffs x 4hrs x $13/hr) $416 Idle (18hrs x $10/hr) $180 Total $3636 Indirect Labour Basic Paid (3staffs x 38hrs x $7/hr) $798.00 OT Paid (3 staffs x 6hrs x $9.10/hr) $163.80 Idle (4hrs x $7/hr) $28.00 Total $989.80 (ii) Charged as direct wages to work-in-progress and indirect wages to overheads

respectively (show clearly the make-up of the indirect charge). Direct Labour Basic Paid (8 staffs x 38hrs x $10/hr) $3,040 OT: Basic Rate (8 staffs x 4hrs x $10/hr) $320 Total Direct Labour Costs (WIP) $3,360 Direct Labour OT: Premium (8 staffs x 4hrs x $3) $96.00 Idle $180.00 Indirect Labour Basic Paid (3staffs x 38hrs x $7/hr) $798.00 OT Paid (3 staffs x 6hrs x $9.10/hr) $163.80 Idle (4hrs x $7/hr) $28.00 Total Indirect Labour Costs (POH) $1265.80 QUESTION



1. A company operates a piecework scheme to pay its staff. The staffs receive $0.20 for each unit produced. However the company guarantees that every member of staff will receive at least $15 per day. Shown below is the number of units produced by Operator A during a recent week: Day Mon Tues Wed Thurs Fri Units produces 90 70 75 60 90 Basic Piece Rate @ $0.20 $18 $14 $15 $12 $18 Guarantees $15 $15 $15 $15 $15 Earning $18 $15 $15 $15 $18

Total = $18 + $15 + $15 + $15 + $18 = $81 What are Operator A’s earning for the week? A $75.00 C $81.00 B $77.00 D $152.00

2. In setting the rate of pay for employees a company would have to consider which of the

following factors? 1 Current rate of pay 2 Rates of pay in similar industries in the same area 3 Absentee rates 4 National inflation rates A Items 1, 2 and 3 C Items 1, 3 and 4 B Items 2, 3 and 4 D Items 1, 2 and 4

3. Which of the following statements is/are true about group bonus schemes? (i) Group bonus schemes are appropriate when increased output depends on a number of

people all making extra effort (ii) With a group bonus scheme, it is easier to award each individual’s performance (iii) Non-production employees can be rewarded as part of a group incentive scheme A (i) only C (i) and (iii) only B (i) and (ii) only D All of them

4. Which of the following would be classed as indirect labour?

A Assembly workers in a company manufacturing televisions B A stores assistant in a factory store C Plasterers in a construction company D An audit clerk in firm of auditors

5. Which of the following would be classified as indirect labour? A A coach driver in a transport company B Machine operators in a milk bottling plant C A maintenance assistant in a factory maintenance department D Plumbers in a construction company

6. The following data relates to a direct employee in production department A: Normal working day 7 hours Hourly rate per day $8 Standard time allowed producing one unit 6 minutes Bonus payable at basic hourly rate 50% of time saved What would be the gross wages payable in a day when the employee produces 82 units?



A $33.60 C $65.60 B $60.80 D $84.00 Time Allowed 82u x 6min/60min 8.2hrs Time Taken 7hrs Time Saved 1.2hrs

Basic Pay Rate 7hrs x $8 $56.00 Bonuses 1.2hrs x 50% x $8/hr $4.80 Total $60.80

7. An employee is paid on a piecework basis. The basis of the piecework scheme is as follows:

1 to 100 units - $0.20 per unit 100u x $0.20/u $20.00

101 to 200 units - $0.30 per unit 93u x $0.30/u $27.90

201 to 299 units - $0.40 per unit Total $47.90

Only the additional units quality for the higher rates. Rejected units do not qualify for payment. During a particular day the employee produced 210 units of which 17 were rejected as faulty. (210u -17u = 193u) What did the employee earn for their day’s work? A $47.90 C $57.90 B $54.00 D $63.00

8. Which of the following statements is correct? A Idle time cannot be controlled because it is always due to external factors B Idle time is always controllable because it is due to internal factors C Idle time is always due to inefficient production staff D Idle time is not always the fault of production staff

9. A company employs 20 direct production operatives and 10 indirect staff in its manufacturing department. The normal operating hours for all employees is 38 hours per week and all staff is paid $5 per hour. Overtime hours are paid at the basic rate plus 50%. During a particular week all employees worked for 44 hours. What amount would be charged to production overhead? A $2,650 C $450 B $2,350 D $300 Direct Staff OT Premium 20 staffs x 6hrs x $5/hr x 50% $300

Indirect Staff Basic Paid 10 staffs x 44hrs x $5/hr $2200 OT Premium 10 staffs x 6hrs x $5/hr x 50% $150 Total $2650

10. A manufacturing firm has temporary production problems and overtime is being

worked(General OT only). The amount of overtime premium contained in direct wages normally is classed as which one of the following: A Direct expenses B Production overheads C Direct labour cost D administrative overheads

11. Gross wages incurred in department 1 June were $54,000. The wages analysis shows the following summary breakdown of the gross pay:



Paid to direct labour Paid to indirect labour Ordinary time Overtime Basic pay Premium Shift allowance Sick pay

$ 25,185

5,440 1,360 2,700 1,380

$ 11,900

3,500 875

1,360 300

36,065 17,935 What is the direct wages cost for department 1 in June? $25,185 + $5,440 = $30,625

A $25,185 B $30,625 C $34,685 D $36,065

12. A manufacturing firm is very busy and overtime is being worked (General OT only).

The amount of overtime premium contained in direct wages would normally be classed as: A part of prime cost B factory overheads C direct labour cost D administrative overheads

13. Employee A is a carpenter and normally works 36 hours per week. The standard rate of pay

is $3.60 per hour. A premium of 50% of the basic hourly rate is paid for all overtime hours worked. During the last week of October, employee A worked for 42 hours. The overtime hours worked was for the following reasons: Machine breakdown: 4 hours To complete a special job at the request of a customer 2 hours How much of Employee A’s earnings for the last week of October would have been treated as direct wages? A $162.00 C $140.40 B $129.60 D $151.20

Basic Rate Pay (42hrs – 4hrs) x $3.60/hr $136.80 OT Premium 2hrs x $3.60/hr x 0.5 $3.60 Total Direct Labour Costs $140.40 14. A company makes a product for which the standard labour time is 2 hours per unit. The

budgeted production hours for a given week 820(Bhrs). During the week the production staffs were able to produce 380 units (AO) of product. Staffs worked and were paid for 800 hours (Ahrs). During the week 20 production hours were lost due to a shortage of material. (Std Hrs for

AO 760hrs = 2hrs x 380u) The efficiency ratio was therefore: A 95.00% C 97.44% B 95.12% D 97.50% Efficiency ratio = Std hrs/Ahrs x 100% = 760hrs/(800hrs – 20hrs) x 100% = 97.44%

15. What is the correct formula to calculate the labour efficiency ratio? A (Standard time for actual production ÷ (actual hours worked) x 100 B (Actual hours worked ÷ (standard time for actual production) x 100



C (Actual hours worked ÷ (budgeted hours) x 100 D (Output in standard hours ÷ (budgeted hours) x 100 Efficiency ratio = Std hrs/Ahrs x 100%

16. Which of the following is not a cost of labour turnover? A The cost of recruiting new employees to replace those leaving B The cost of increased wastage due to lack of expertise among new staff C The contribution foregone on the output lost due to slower working D The salary paid to the personnel manager

17. Guilt Trips Ltd budgets to make 50,000 units (BO) of output (in eight hours each) during a budget period of 400,000 hours(Bhrs). Actual output during the period was 54,000 units(AO) which took 480,000 hours(Ahrs) to make. The efficiency and capacity ratios are:

Efficiency ratio Capacity ratio A 90% 83% B 90% 120% C 111% 83% D 111% 120%

Std hrs for AO = 8hrs/u x 54,000u = 432,000hrs Efficiency ratio = Std hrs/Ahrs x 100% = 432,000hrs/480,000hrs x 100% = 90% Capacity ratio = Ahrs/Bhrs x 100% = 480,000hrs/400,000hrs x 100% = 120% 18. The following items are some of the costs incurred by a company:

(i) training of direct operatives (ii) wages of distribution staff non production costs (iii) normal idle time in the factory (iv) productive time of direct operatives direct production costs

(v) sales personnel salaries non production costs Which of the above items will usually be treated as production overhead costs? A (i) and (ii) only B (i) and (iii) only C (i), (iii) and (iv) only D (ii), (iv) and (v) only

19. A company pays direct operatives a basic wage of $8.50 per hour plus a productivity bonus.

The bonus is calculated as: [(time allowed – time taken) x (basic rate per hour ÷ 3)]

The time allowed is 2.4 minutes per unit of output (Time Allowed 42.6hrs = 1065u x 2.4min/60min). An operative produced 1,065 units in a 37½(Time Taken) hour week. Time Saved 5.1hrs What were the total earnings of the operative in the week? A $318.75 B $333.20 C $340.40 D $362.10 Basic Paid 37.5 hrs x $8.50/hr $318.75 Bonus [(42.6hrs – 37.5hrs) x ($8.50÷3)] $14.45 Total $333.20

20. Labour costs may include: (i) overtime hours of direct operatives at basic rate direct



(ii) overtime premiums of factory employees indirect (iii) productive time of direct operatives direct

(iv) training of direct operatives indirect Which of the above items will usually be treated as a direct cost? A (i) and (ii) B (i) and (iii) C (ii) and (iv) D (i), (iii) and (iv)

21. Which of the following labour records may be used to allocate costs to the various cost units

in a factory? (i) Employee record card (ii) Attendance record card (iii) Time sheet (iv) Job card A (i) and (ii) B (i), (iii) and (iv) C (ii) and (iii) D (iii) and (iv)

22. Production labour costs may include:

(i) cost centre supervisors’ wages indirect (ii) overtime hours of direct operatives at basic rate direct (iii) overtime costs of indirect operatives indirect (iv) piecework payments to direct operatives direct

Which items will usually be included in production overheads (indirect labour costs)? A (i) and (iii) only B (i) and (iv) only C (i), (ii) and (iii) only D (ii), (iii) and (iv) only

23. The costs associated with labour turnover can be classified as ‘preventative’防止员工辞职费

costs or ‘replacement’ 替换员工费用costs. Which of the following is a preventative cost? A Provision of leisure facilities for employees B Lower productivity of new employees C Increased wastage of raw materials D Training costs for new employees

24. The production volume ratio for a period was 95%.

What could have caused this? A Actual hours worked being greater than budgeted hours B Actual hours worked being less than budgeted hours C Standard time for actual output being greater than budgeted hours D Standard time for actual output being less than budgeted hours Activity Ratio = Std hrs for AO/Budgeted hrs worked x 100%

CHAPTER 5: OVERHEAD ANALYSIS



Question 1 A company is preparing its budget for the year ended 31 December 2009. The company has two production departments, Department L and Department M, and two service departments, which are the storeroom and canteen. The estimated overhead costs for the year ending 31 December 2009 are: Factory rent Factory premises insurance Machinery depreciation Machinery insurance Security costs Supervisors’ salaries Storeroom costs Canteen costs Total

$ 52,000 6,700 8,800 2,400 6,200

44,000 12,000 15,600

147,700 The following information is also relevant: Department L Department M Storeroom Canteen Total Floor area (sq. metres) 12,500 7,500 3,500 2,500 26,000 Machinery value ($) 30,000 22,500 10,000 4,500 67,000 Number of supervisors 2 3 - - 5 (a) Prepare an overhead allocation and apportionment schedule for Company A for the

year ended 31 December 2009. All figures should be to the nearest $. Department L M Storeroom Canteen Factory Rent (Floor area) 25,000 15,000 7,000 5,000 Factory premises insurance (Floor area) 3,221 1,933 902 644 Machinery depreciation (Machinery value) 3,940 2,955 1,313 592 Machinery insurance (Machinery value) 1,075 806 358 161 Security costs (Floor area) 2,981 1,788 835 596 Supervisor’s costs (Number of supervisors) 17,600 26,400 - - Storeroom costs - - 12,000 - Canteen costs - - - 15,600 OH allocated & apportioned 53,817 48,882 22,408 22,593 How to apportion the period cost? Example: Factory Rent of Dept L (based on Floor area) = $52,000 x 12,500/26,000 = $25,000 Factory Rent of Dept M (based on Floor area) = $52,000 x 7,500/26,000 = $15,000 Factory Rent of Dept Storeroom (based on Floor area) = $52,000 x 3,500/26,000 = $7,000 Factory Rent of Dept Canteen (based on Floor area) = $52,000 x 2,500/26,000 = $5,000 Department L Department M Storeroom Canteen Total Number of employees 12 15 3 3 33 Time spent by storeroom (%) 70 30 - - 100 (b) On the schedule prepared in part (a) re-apportion the service department overheads

using appropriate bases. All figures should be calculated to the nearest $. Department L M Storeroom Canteen OH allocated & apportioned 53,817 48,882 22,408 22,593 Re-apportionment Canteen (no. of employees) 9,037 11,297 2,259 (22,593) Storeroom (Time spent by storeroom %) 17,267 7,499 (24,667) - Total POH 80,121 67,678 - - How to re-apportion the OH of service department? Example: Canteen of Dept L (no. of employees) = $22,593 x 12/30 = $9,037 Canteen of Dept M (no. of employees) = $22,593 x 15/30 = $11,297 Canteen of Dept Storeroom (no. of employees) = $22,593 x 3/30 = $2,259



Department L Department M Direct labour hours 25,000 31,200

(c) Calculate overhead absorption rates for Department L and Department M for the year ended 31 December 2009, based on the labour hours. All figures should be calculated to the nearest cents.

Department L M Total POH 80,121 67,678 Direct labour hours 25,000 31,200 OAR (Total POH/DLHrs) $3.20/lhr $2.17/lhr

Do I need to remind you again? The OAR is calculated base on budgeted figures. Question 2 QB Limited QB Limited is a manufacturer of plastic sheeting. It manufactures only to customers’ specific requests and does not carry any stock of ‘ready made’ sheeting. The only stocks it does hold in its storeroom are raw materials from which the sheeting is produced. The company has two production departments: cutting and finishing. It also has two service departments: the stores and the canteen. These departments are located within a single building. The information provided below has been extracted from the company’s budget for the next financial year.

Overhead budget for the year ended 30 June 2009 Factory rent (including storeroom and canteen) Factory premises insurance (including storeroom and canteen) Sundry expenses – cutting department Sundry expenses – finishing department Machinery insurance Depreciation of factory plant and machinery Finishing department materials Indirect labour (including storeroom and canteen) Administration salaries (see note below) Sundry storeroom costs Canteen materials and other costs

$ 220,000 11,000 8,540 4,150 3,900 24,000 10,000

176,000 24,000 13,370 29,640

Total 524,600 Note: Administration salaries are to be apportioned equally to the cutting department, finishing department and storeroom. The following information is also relevant: Department Cutting Finishing Storeroom Canteen

Floor area (sq. metres)

100,000 100,000 10,000 10,000

Indirect labour

6 employees 6 employees 2 employees 2 employees

Direct labour

24 employees 40 employees 2 employees 3 employees

Value of plant and machinery ($)

220,000 50,000 10,000 20,000

Service centre costs are apportioned as follows: Department Basis Canteen Storeroom

Total number of employees 70% to the cutting department and 30% to the finishing department

The company has also budgeted for the following levels of activity for the year ended 30 June 2009. Department Labour hours Machine hours Cutting 2,900 4,700



Finishing 4,200 680 (a) Using appropriate bases of apportionment and appropriate allocations prepare an

overhead distribution schedule for QB Limited for the year ended 30 June 2009. Departments Cutting Finishing Canteen Storeroom Factory Rent (Floor Area) 110,000 110,000 10,000 10,000 Factory Premises insurance (Factory Area) 5,500 5,500 500 500 Sundry Expenses 8,540 4,150 - 13,370 Machinery Insurance (Value of P&M) 2,860 650 130 260 Depreciation of Factory P&M (value of P&M) 17,600 4,000 800 1,600 Material Costs - 10,000 29,640 - Indirect Labour (indirect labour) 66,000 66,000 22,000 22,000 Administration salaries (note) 8,000 8,000 - 8,000 OH allocated & apportioned 218,500 208,300 63,070 35,930 (b) Using suitable bases, re-apportion service department costs to the production

departments. Departments Cutting Finishing Canteen Storeroom OH allocated & apportioned 218,500 208,300 63,070 35,930 Re-apportionment Canteen (no. of employees) 23,651 36,265 (63,070) 3,154 Storeroom (70:30) 27,359 11,725 - (39,084) Total POH 269,510 223,290 - - How to re-apportion the OH of service department? Example: Canteen of Dept L (no. of employees) = $63,070 x 30/80 = $23,651 Canteen of Dept M (no. of employees) = $63,070 x 46/80 = $36,265 Canteen of Dept Storeroom (no. of employees) = $63,070 x 4/80 = $3,154 Do not include the number of employees of canteen. (c) If the cutting department absorbs overhead using a machine hour basis, and the

finishing department absorbs overhead using a labour hour basis, calculate the overhead absorption rates for each of the two production departments for the year ended 30 June 2009.

Departments Cutting Finishing Total POH 269,510 223,290 Total Mhrs or Lhrs 4,700 4,200 OAR $57.34/mhr $53.16/lhr Question 3 Opcosix Ltd Shown below are next year’s budgeted operating costs for Opcosix Ltd, a company with three production and two service departments. Production Dept Service Dept Weaving

dept Proofing

dept Finishing

dept Personnel

service Equipment

maintenance Total

$’000 $’000 $’000 $’000 $’000 $’000 Direct materials 7,000 2,000 1,500 - - 10,500 Direct wages 2,500 5,500 2,000 - - 10,000 Indirect materials & wages 1,100 900 300 1,500 3,800 7,600 Power 5,200 1,000 200 100 800 7,300 Rent & rates 8,000 Factory admin & supervision 10,000 Machine insurance 2,400 Additional data extracted from next year’s budget is shown below. Weaving

dept Proofing

dept Finishing

dept Personnel

service Equipment

maintenance Total

Floor area sq metres 12,000 27,000 6,000 12,000 3,000 60,000 Machine hours 1,600,000 400,000 400,000 - - 2,400,000



Direct labour hours 1,200,000 1,800,000 600,000 - - 3,600,000 Number of employees 600 1,000 400 100 400 2,500 Gross BV of equipment $4.0m $1.0m $1.0m $6.0m Calculate the budgeted overhead absorption rates for each production department using the following methods. (a) A machine hour rate in the weaving department (b) A direct labour hour rate on the proofing department (c) Another suitable method in the finishing department It may be assumed that the equipment maintenance department does not service the personnel services department. All workings and assumptions should be clearly shown. (DO NOT INCLUDE DIRECT COSTS) Department Weaving Proofing Finishing Personnel

service Equipment

maintenance Indirect materials & wages 1,100 900 300 1,500 3,800 Power 5,200 1,000 200 100 800 Rent & rates (Floor area) 1,600 3,600 800 1,600 400 Factory admin & supervision (no. of employees) 2,400 4,000 1,600 400 1,600 Machine insurance (Gross BV of equipment) 1,600 400 400 - - OH allocated & apportioned 11,900 9,900 3,300 3,600 6,600 Re-apportioned Personnel Service (No. of employees) 900 1,500 600 (3,600) 600 Equipment maintenance (MHrs) 4,800 1,200 1,200 - (7,200) Total POH 17,600 12,600 5,100 - - MHrs/LHrs/LHrs 1,600,000 1,800,000 600,000 - - OAR 0.011/lhr 0.007/lhr 0.0085/lhr

Question 2 (a)

Using the rates calculated in your answer to (c) above, estimate the amount of overhead to be

charged to job XY129 that would require the following labour and machine hours:

Department Labour hours Machine hours Cutting Finishing

29 30

40 6

Suggest why it is appropriate for the cutting department to use a machine hour basis to recover

its overhead and for the finishing department to use a labour hour basis. Departments Cutting Finishing OAR $57.34/mhr $53.16/lhr AHrs/u 40mhrs 30lhrs OH/u $2,293.60 $1,594.80 Question 4 QRS Limited ORS Limited has three main departments – Casting, Dressing and Assembly – and for period 3 has prepared the following production overhead budgets for an output level of 110,000 units. Department Casting Dressing Assembly Production overheads $225,000 $175,000 $93,000 Expected production hours 7,500 7,000 6,200 OAR $30/hr $25/hr $15/hr During period 3, actual results were as follows for an output level of 117,500 units Department Casting Dressing Assembly Production overheads $229,317 $182,875 $94,395 Production hours 7,950 7,280 6,696 (a) OH absorbed (OAR x AHrs) $238,500 $182,000 $100,440



Production overheads $229,317 $182,875 $94,395 (b) Over/(under) absorption $9,183 ($875) $6,045 (a) Calculate predetermined departmental overhead absorption rates for period 3. (b) Calculate the under/over-absorption of overheads for each department for period 3 QUESTIONS 1. A company has two production departments, Cutting and Finishing.

The budgeted overheads and operating hours for the two departments for next year are:

Cutting: $210,000 60,000 machine hours 4,000 labour hours Finishing: $200,000 5,000 machine hours 14,000 labour hours

From the information given the pre-determined overhead absorption rates for the departments should: A both be based on machine hours B both be based on labour hours C be based on machine hours for the cutting department and labout hours for the finishing

department D be based on labour hours for the cutting department and machine hours for the finishing

department 2. A company absorbs production overheads using a machine hour basis. In order to calculate

any over or under absorbed overheads which of the following would be needed, in additional to the pre-determined machine hour rate? A Budgeted overheads and actual overheads incurred B Budgeted overheads and actual hours worked C Actual overheads incurred and budgeted hours D Actual overheads incurred and actual hours worked

Budgeted POH ÷ Budgeted Activity Level = OAR OAR x Actual Activity Level = OH absorbed OH absorbed ~ Actual OH incurred = Over/(under) absorbed 3. Which of the following are acceptable bases for absorbing production overheads?

1 direct labour hour 2 machine hours 3 as a percentage of prime cost 4 per unit A method 1 and 2 only C method 1, 2, 3 or 4 B method 3 and 4 only D method 1, 2 or 3 only

4. It is possible for an item of overhead expenditure to be shared amongst many departments. It is also possible that this same item may relate to just one specific department. If the item was charged specifically to a single department this would be an example of: A Apportionment C Re-apportionment B Allocation D Absorption

5. Which of the following would be classified as an overhead? A Overtime premium when the overtime was worked at the customer’s request Direct labour

B Overtime premium when the overtime was worked because of a machine breakdown



C Payment to staff on a piece-work scheme Direct labour D The basic pay relating to overtime hours Direct labour

6. In a given year a production department incurred actual overheads of $178,000. Overheads are absorbed using actual machine hours and pre-determined rate per hour. The budgeted overhead for the year was $180,000 and the budgeted machine hours were 90,000. The overheads for the year were over-absorbed by 4,000. What were the actual machine hours? A 89,000 C 91,000 B 90,000 D 92,000

Budgeted POH ÷ Budgeted Activity Level = OAR OAR x Actual Activity Level = OH absorbed OH absorbed ~ Actual OH incurred = Over/(under) absorbed $180,000 ÷ 90,000Mhrs = $2/Mhr OH absorbed ~ $178,000 = Over $4,000 OH absorbed = $182,000 $2/Mhr x Actual Activity Level = $182,000 Actual Activity Level = 91,000MHrs

7. What is the term associated with charging a specific item of overhead cost to one particular department? A Absorption C Apportionment B Allocation D Re-apportionment

8. A company is considering the following methods for apportioning heating and lighting costs to its various departments: 1 The relative floor areas of departments 2 The relative cubic capacity (volume) of departments 3 The relative usage ascertained from meters Which of the above would be acceptable? A Method 1 and 2 only C Method 2 and 3 only B Method 1 and 3 only D Method 1, 2 and 3

9. Which of the following will be classified as an overhead? A Wood used in the manufacture of bookcases. direct material

B Glue used in the manufacture of furniture. Indirect material C Fabric used to cover the seats of chairs. Direct material D Direct wages of production staff incurred in the production of tables. Direct labour

10. A company had the following budgeted and actual production overhead costs in its two

production cost centres, Machining and Assembly: Budget Actual Machining $210,000 $212,000 Assembly $136,000 $134,000

What statement is true? A From the data available it is not possible to determine overhead over/under absorption B Machining overheads were over-absorbed: Assembly overheads were under-absorbed C Machining overhead were over-absorbed: Assembly overheads were over-absorbed D Machining overhead were under-absorbed: Assembly overheads were over-absorbed



11. A method of dealing with overheads involves spreading common costs over cost centres on the basis of benefit received. This is known as A Overhead absorption B Overhead apportionment C Overhead allocation D Overhead analysis

12. The following extract of information is available concerning the four cost centres of EG

Limited. Machining Finishing Packing Canteen Number of direct employees 7 6 2 - Number of indirect employees 3 2 1 4 Overhead allocated and apportioned $28,500 $18,300 $8,960 $8,400 Re-apportionment: Canteen (no. of Employees) $4,000 $3,200 $1,200 ($8,400) Total POH $10,260

The overhead cost of the canteen if to be re-apportioned to the production cost centres on the basis of the number of employees in each production cost centre. After the re-apportionment, the total overhead cost of the packing department, to the nearest $, will be A $1,200 C $10,080 B $9,968 D $10,160

13. Over-absorbed overheads occur when A Absorbed overheads exceed actual overheads B Absorbed overheads exceed budgeted overheads C Actual overheads exceed budgeted overheads D Budgeted overheads exceed absorbed overheads

14. The production overhead of department D is absorbed using a machine hour rate.

Budgeted production overheads for the department were $280,000 and the actual machine hours were 70,000. Production overheads were under absorbed by $9,400. If actual production overheads were $295,000 what was the overhead absorption rate per machine hour (to the nearest $)? A $4.00 C $4.21 B $4.08 D $4.35

15. Overhead apportionment is used A Charge whole items of costs to cost centres B Charge cost units with an appropriate share of overheads C Charge whole items of costs to cost units D Spread common costs over cost centres 16. An overhead absorption rate is used to A Share out common costs over benefiting cost centres B Find the total overheads for a cost centre C Charge overheads to product D Control overheads Budgeted labour hours 8,500 Actual labour hours 7,928



Budgeted overheads $148,750 Actual overheads $146,200 17. Based on the data given above, what is the labour hour overhead absorption rate?

A $17.50 per hour C $18.44 per hour B $17.20 per hour D $18.76 per hour

OAR = $148,750/8,500 = $17.50/Lhr 18. Based on the data given above, what is the amount of overhead under/over-absorbed?

A $2,550 under-absorbed C $2,550 over-absorbed B $2,529 over-absorbed D $7,460 under-absorbed

OH absorbed = $17.50/Lhr x 7,928Lhr = $138,740 Actual OH incurred = $146,200 (Under) absorbed ($7,460) 19. A management consultancy recovers overheads on chargeable consulting hours.

Budgeted overheads were $615,000 and actual consulting hours were 32,150. Overheads were under-recovered by $35,000. If actual overheads were $694,075, what was the budgeted overhead absorption rate per hour? A $19.13 C $24.59 B $20.50 D $22.68

Actual OH incurred $694,075 – under absorbed $35,000 = OH absorbed $729,075 OH absorbed $729,075 = OAR x AHrs 32,150 OAR = $22.68 20. The following production overhead costs relate to a production cost centre:

Budget $124,000 OH absorbed $125,200 Actual $126,740 Actual OH incurred $126,740 Absorbed $125,200 under absorbed ($1,540)

Which of the following statements is true? A overheads were over-absorbed by $1,200 B overheads were over-absorbed by $1,540 C overheads were under-absorbed by $1,200 D overheads were under-absorbed by $1,540

21. Overheads are absorbed at a pre-determined rate based on direct labour hours. The

following additional information is available for a period: Budget $164,000 overhead expenditure 10,000 direct labour hours Actual $158,000 overhead expenditure 9,800 direct labour hours OAR = Budget OH/dlhr = $164,000/10,000dlhr = $16.40/dlhr OH absorbed = $16.40/dlhr x 9,800dlhr = $160,720 Actual OH incurred = $158,000 Over absorbed $ 2,720

What was the overhead over/under-absorption in the period? A $2,720 over-absorbed B $3,224 over-absorbed C $3,280 under-absorbed D $6,000 under-absorbed

22. A company uses absorption costing. In a period, 34,000 units of the company’s single

product were manufactured and 33,000 units were sold. Consider the following two statements:

1. Fixed production overheads would be over-absorbed.



2. Profit would be higher than in the previous period. Are the statements true in relation to the situation described or is it not possible to determine whether or not they are true?

Statement 1 Statement 2 A Cannot determine Cannot determine B Cannot determine True C True Cannot determine D True True

23. An overhead absorption rate of $12.00 per direct labour hour was established based on a budget of 2,100 hours. Actual direct labour hours worked was 2,180 and actual overhead expenditure was $25,470. What was the over/under absorption of overhead? A $270 under absorbed B $690 over absorbed C $960 over absorbed D $960 under absorbed OH absorbed = OAR $12/lhr x AHrs 2,180lhrs = $26,160 Actual OH incurred = $25,470 Over absorbed $ 690

24. Machine hours are used to absorb overheads in a production cost centre. Overheads

allocated and apportioned to the cost centre are: $

Allocated 13,122 Apportioned 7,920 Reapportioned from service cost centres 2,988 Total POH 24,030 216,000 units of product are manufactured at a rate of 120 units per machine hour. What is the overhead absorption rate per machine hour (Total Mhrs = 216,000u/120u = 1800 Mhrs)? OAR = $24,030/1,800Mhrs = 13.35/Mhrs A $7.29 B $11.13 C $11.69 D $13.35

Question1 KP Ltd KP Ltd is security printers and print both bank notes and postage stamps for a number of government agencies and post offices. The company has 4 production cost centres (Paper Cutting, Printing, Trimming and Packing). The Cutting and Printing cost centres are highly automated, but the Trimming and packing cost centres are labour intensive. It also has 3 service cost cenntres (Stores, Maintenance and Quality Control). The company budget for overheads for next year is as follows: KP Ltd: Factory Overhead Budget for the year to 31 December 2009 Expense $ Factory rental 85,000 Electricity 30,530 Depreciation of plant and equipment 57,000 Salaries – stores personnel 60,000 Salaries – maintenance personnel 80,000 Salaries – quality control personnel 50,000



Salaries – administration 14,078 Insurance – factory 11,560 Insurance – plant and machinery 15,200 Cleaning and security serviced 11,900 Total 415,268 The following information is also available: Details Production Cost Centres Service Cost Centres Paper

Cutting Printing Trimming Packing Stores Maintenance Q.

Control Budgeted labour hours 4,000 8,000 20,000 10,000 Budgeted machine hours 18,000 40,000 2,000 1,000 Floor area (sq metres) 6,000 18,000 2,000 4,000 2,000 1,000 1,000 Value of plant & equip $100,000 $240,000 $10,000 $20,000 $5,000 $5,000 No of employees 5 10 40 20 2 2 1 Power usage (kilowatts) 20 45 2 1 1 1 1 Factory administration salaries are apportioned to all departments on the basis of the number of staff employed by those departments.

Percentage of Service Cost Centre Time Spent on other Cost Centres Cost Centre Paper

Cutting Printing Trimming Packing Stores Maintenance Q.

Control % % % % % % % Stores 60 15 - 20 - 5 - Maintenance 20 40 25 15 - - - Quality Control 35 35 15 10 - 5 - (a) Prepare an overhead distribution sheet for the production overheads for KP Ltd for the year

ended 31 December 2009. Cost Centre Paper

Cutting Printing Trimming Packing Stores Maintenance Quality

Control Factory Rental (Floor Area) 15,000 45,000 5,000 10,000 5,000 2,500 2,500 Electricity (Power usage) 8,600 19,350 860 430 430 430 430 Depreciation of P&M (value of P&E) 15,000 36,000 1,500 3,000 750 750 - Salaries - - - - 60,000 80,000 50,000 Administration (no of employees) 880 1,760 7,039 3,520 352 352 175 Factory Insurance (Floor Area) 2,040 6,120 680 1,360 680 340 340 P&M Insurance (value of P&E) 4,000 9,600 400 800 200 200 - Cleaning (Floor Area) 2,100 6,300 700 1,400 700 350 350 OH allocated & apportioned 47,620 124,130 16,179 20,510 68,112 84,922 53,795 Re-apportioned Quality Control (35:35:15:10:0:5:0) 18,828 18,828 8,069 5,380 - 2,690 (53,795) Stores (60:15:0:20:0:5:0) 40,867 10,217 - 13,622 (68,112) 3,406 - Maintenance (20:40:25:15:0:0:0) 18,204 36,407 22,755 13,653 - (91,018) - Total POH 125,519 189,582 47,003 53,165 - - - (b) Calculate an appropriate pre-determined overhead absorption for the 4 production

departments for the year ended 31 December 2009 (to 4 decimal places). Cost Centre Paper Cutting Printing Trimming Packing Total POH 125,519 189,582 47,003 53,165 Mhrs/Mhrs/Lhrs/Lhrs 18,000 40,000 20,000 10,000 OAR 6.9733/Mhr 4.7396/Mhr 2.3502/Lhr 5.3165/Lhr (c) The company has received an order (number XY123) to print some postage stamps

during year 2009. They have estimated that the labour and machine hours for this job will be:



Cost Centre Paper Cutting Printing Trimming Packing Labour hours 100 100 500 250 Machine hours 450 1,000 50 25 Calculate the total overhead to be charge to JOB XY123. Your calculations should be to the nearest $ and must also show the amounts chargeable for each of the 4 departments. Cost Centre Paper Cutting Printing Trimming Packing OAR 6.9733/Mhr 4.7396/Mhr 2.3502/Lhr 5.3165/Lhr Mhrs/Mhrs/Lhrs/Lhrs 450 1,000 500 250 OH absorbed $3,138 $4,740 $1,175 $1,329 Question 2 A manufacturing company uses predetermined rates for absorbing overheads based on the budgeted level of activity. A rate of $22 per labour hour has been calculated for the assembly department for which the following overhead expenditures at various activity levels have been estimated. Assembly department

Total overheads ($) Number of labour hours 338,875 347,625 356,375

14,500 15,500 16,500

(a) Calculate the variable overheads absorption rate per labour hour VOAR/lhr = $356,375 - $338,875 = $8.75/lhr

16,500 – 14,500 (b) Calculate the estimated total fixed overheads

FOH = $356,375 – (16,500Lhrs x $8.75/lhr) = $212,000 (c) Calculate the budgeted level of activity in labour hours OAR $22/lhr = VOH $8.75/lhr + FOH $13.25/lhr Lhrs = $212,000/$13.25/lhr = 16,000lhrs (d) Calculate the amount of under/over-recovery of overheads if the actual labour hours

were 15,850 and actual overheads were $355,050 OH absorbed : VOH ($8.75/lhr x 15,580Lhrs) = $136,325 : FOH = $212,000 $348,325 Actual OH incurred $355,050 Under absorbed $ 6,725 (e) State the arguments for and against using the departmental absorption rates as

opposed to a single factory-wide rate. Answer The arguments for using departmental absorption rates as opposed to a single a factory-wide rate are: Costing is more accurate since the accretion of overheads is dependent upon the departments a product passes

through. Variance analysis and cost control is easier Valuation of stocks and work-in-progress are easier and more accurate Awareness of costs and the control thereof is enhanced The arguments against using the departmental absorption rates as opposed to a single factory-wide rate are: Setting up and monitoring the absorption rates can be time-consuming and expensive. May be unnecessary where departments are similar May be misleading product costs if absorption rates are not carefully set and constantly monitored. Question 3 A company has two production departments and two service departments. Production overheads for the year ending 31 December 2009 are expected to be as follows:



$ Rent and rates 15,200 Lighting and heating 12,160 Depreciation of machinery 14,000 Insurance of machinery 3,500 Supervisor’s salary 15,200 Building insurance 7,600 $67,660 The following information is also available: Production departments Service departments Machining Finishing Stores Maintenance Total Floor area (square metres) 400 300 100 250 950 Number of production staff 9 7 - - 16 Value of machinery ($’000) 15 10 4 6 35 Direct Labour Hours 16,416 12,768 - - 29,184 Each of the production staff is expected to work 38 hours per week for 48 weeks during 2009. (a) Prepare an overhead apportionment schedule for the year ended 31 December 2009

clearly showing the basis of apportionment for each overhead. Departments Machining Finishing Stores Maintenance Rents and rates (floor area) 6,400 4,800 1,600 4,000 Lighting &heating (floor area) 5,120 3,840 1,280 3,200 Depreciation of machinery (value of machinery) 6,000 4,000 1,600 2,400 Insurance of machinery (value of machinery) 1,500 1,000 400 600 Supervisor’s salary (no. of production staff) 8,550 6,650 - - Building insurance (floor area) 3,200 2,400 800 2,000 OH allocated & apportioned 30,770 22,690 5,680 12,200 (b) Re-apportion the service department’s overheads as detailed below:

Machining Finishing Stores 60% 40% Maintenance 50% 50%

Departments Machining Finishing Stores Maintenance OH allocated & apportioned 30,770 22,690 5,680 12,200 Re-apportioned Maintenance (50:50) 6,100 6,100 - (12,200) Stores (60:40) 3,408 2,272 (5,680) - Total POH 40,278 31,062 - - (c) Calculate overhead absorption rates for the Machining and Finishing Departments for the

year ending 31 December 2009 based on the productive labour hours for those departments. (Answers should be to the nearest cents)

Departments Machining Finishing Total POH 40,278 31,062 LHrs 16,416 12,768 OAR $2.45/lhr $2.43/lhr Question 4 Pride Ceramics Limited Pride Ceramics Limited has two production departments A and B and two service departments X and Y. Budgeted overheads for the year ending 30 June 2013 have already been allocated to the departments as shown below:

Production Service Total ($) Dept. A ($) Dept. B ($) Dept. X ($) Dept. Y ($) Allocated overheads 280,000 141,345 82,655 32,000 24,000



However, the remaining overheads, as detailed below still have to be apportioned to each of the departments: Electricity $24,000 Indirect labour $36,000 Rent $64,000 Machine maintenance $12,000 The following information is also available:

Production Service Dept A Dept B Dept X Dept Y Machine operating hours 12,000 10,000 1,500 500 No. of indirect employees 2 2 1 1 Floor area (m2) 21,000 19,500 4,500 3,000

The service departments are expected to spend their time as follows:

Production Service Dept A Dept B Dept X Dept Y Department X 40% 60% Nil Nil Department Y 50% 30% 20% Nil

(a) Prepare an overhead apportionment schedule. The schedule should include the overheads

already allocated and the overheads that still require apportionment. Departments A B X Y Allocated overheads 141,345 82,655 32,000 24,000 Electricity (Floor area) (machinery operating hrs) 10,500 9,750 2,250 1,500 Indirect labour (no. of indirect employees) 12,000 12,000 6,000 6,000 Rent (floor area) 28,000 26,000 6,000 4,000 Machine maintenance (machine operating hours) 6,000 5,000 750 250 OH allocated & apportioned 197,845 135,405 47,000 35,750 (b) Re-apportion the service department overheads to the other departments.

(Note: You are not required to calculate overhead absorption rates.) Departments A B X Y OH allocated & apportioned 197,845 135,405 47,000 35,750 Re-apportioned Department Y (50:30:20:0) 17,875 10,725 7,150 (35,750) Department X (40:60) 21,660 32,490 (54,150) - Total POH 237,380 178,620 - - Question 5 Aggra Limited Aggra Limited has completed the initial allocation and apportionment of its budgeted overheads for next year, to its production and service departments. The resulting totals are shown in the table below:

Department Production Departments Service Departments Machining Finishing Stores Maintenance Canteen Allocated & apportioned overheads $28,000 $16,000 $4,000 $8,000 $6,000

The stores, maintenance and canteen are service departments. The re-apportionment of service department overheads has not yet been done. Neither has the calculation of overhead absorption rates. The following additional budgeted information is available as basis for undertaking these tasks.

Department Machining Finishing Stores Maintenance Canteen



Number of employees 40 10 5 5 4 Maintenance hours 500 300 50 Material requisitions 300 200 Machine hours 20,000 Labour hours 4,000

(a) Re-apportion the service departments’ overheads to the production departments using

appropriate bases. Department Machining Finishing Stores Maintenance Canteen Allocated & apportioned overheads $28,000 $16,000 $4,000 $8,000 $6,000 Re-apportioned Canteen (no. of employees) $4,000 $1,000 $500 $500 ($6,000) Maintenance (maintenance hours) $5,000 $3,000 $500 ($8,500) Stores (material requisition) $3,000 $2,000 ($5,000) - - Total POH $40,000 $22,000 - - - (b) Calculate overhead absorption rates for the two production departments for next year. Department Machining Finishing Total POH $40,000 $22,000 Mhrs/Lhrs 20,000 4,000 OAR $2/Mhr $5.50/Lhr Question 6 Overheads allocated, apportioned and re-apportioned to the two production cost centres in a factory for a period were:

Production Cost Centre X Y

Budget $161,820 $97,110 Actual $163,190 $96,330 Overheads are absorbed using predetermined rates. A machine hour rate is used in Production Cost Centre X and a direct labour hour rate in Production Cost Centre Y. Machine and direct labour activity in each production cost centre is:

Production Cost Centre X Y

Machine hours: Budget 8,700 1,760 Actual 8,960 1,725 Direct labour hours: Budget 6,220 8,300 Actual 6,276 7,870 Required: Calculate for each production cost centre for the period: (i) The predetermined production overhead absorption rate; Budgeted POH÷ Budgeted Activity Level (ii) The production overheads absorbed; OAR x Actual Activity Level

(iii) The over/under absorption of production overhead. OH absorbed ~ Actual OH incurred Production Cost Centre X Y Budgeted POH $161,820 $97,110 Budgeted Mhrs/Lhrs 8,700 Mhrs 8,300 Lhrs OAR $18.60/Mhr $11.70/Lhr



Actual Mhrs/Lhrs 8,960 Mhrs 7,870 Lhrs OH absorbed $166,656 $92,079 Actual OH incurred $163,190 $96,330 Over/(under) absorbed $3,466 ($4,251) Question 7 There are two production cost centres (P1 and P2) and two service cost centres (Materials Store and Employee Facilities) in a factory. Estimated overhead costs for the factory for a period, requiring apportionment to cost centres, are:

$ Buildings depreciation and insurance 42,000 Management salaries 27,000 Power to operate machinery 12,600 Other utilities 9,400 In addition, the following overheads have been allocated to cost centres:

Cost Centre P1 P2 Materials Store Employee Facilities $107,000 $89,000 $68,000 $84,000

Further information: Cost Centre

Total P1 P2 Materials Store

Employee Facilities

Floor area (m²) 4,560 5,640 720 1,080 12,000 Number of employees 18 24 6 6 54 Share of other utilities overhead 35% 45% 10% 10% 100% Machine hours 6,200 5,800 12,000 Share of Materials Store overheads 40% 60% 100% Required: (i) Prepare a schedule showing the allocated and apportioned factory overhead costs for

each cost centre; Cost Centre P1 P2 Materials

Store Employee Facilities

OH allocated $107,000 $89,000 $68,000 $84,000 Building depreciation & insurance (floor area) $15,960 $19,740 $2,520 $3,780 Management salaries (no. of employees) $9,000 $12,000 $3,000 $3,000 Power to operate machinery (machine hours) $6,510 $6,090 - - Other utilities (share of other utilities OH 35:45:10:10) $3,290 $4,230 $940 $940 OH allocated & apportioned $141,760 $131,060 $74,460 $91,720 (ii) Re-apportion the service cost centre overheads. Cost Centre P1 P2 Materials

Store Employee Facilities

OH allocated & apportioned $141,760 $131,060 $74,460 $91,720 Re-apportionment Employee Facilities (No. of employees) $34,395 $45,860 $11,465 ($91,720) Materials Store (Share of Mat. Store OH 40:60) $34,370 $51,555 ($85,925) - Total POH $210,525 $228,475 - - Question 8 The following information is available for two production cost centres in a factory for a period:



Cost centre X Cost centre Y Budgeted costs $28,556 $54,264 Budgeted hours 1,210 machine hours 6,460 labour hours Predetermined absorption rate $23.60 per machine hour $8.40 per labour hour Actual costs $29,609 $52,567 Actual hours 1,235 machine hours 6,395 labour hours Required:

(a) Calculate the over or under absorption of overhead for the period in each cost centre. Cost Centre X Y OAR $23.60/mhr $8.40/lhr Actual Mhrs / LHrs 1,235 MHrs 6,395 LHrs OH absorbed $29,146 $53,718 Actual OH incurred $29,609 $52,567 Over/(under) absorbed ($463) $1,151 Question 9 Three of the cost items that are included in the production overhead budget for a factory for a period are: Machine maintenance labour $33,600 Power $26,000 Rent and rates $39,800 Production overheads are currently absorbed using a single factory-wide rate. It has been suggested that a separate overhead absorption rate should be calculated for each of the three groups of machines in the factory. The following additional budgeted data has been collected for the period: Machine Group Total MG 1 MG 2 MG 3 Floor area (m2) 1,600 1,400 1,000 4,000 Machine values ($’000) 320 250 230 800 Kilowatt hours (’000) 220 110 110 440 Machine maintenance (labour hours) 600 400 600 1,600 Number of indirect workers 4 4 2 10 Machine hours 8,200 5,600 4,900 18,700 Required: a) Apportion each of the three items of budgeted overhead cost (machine maintenance

labour, power and rent and rates) to the three machine groups. Machine Group MG 1 MG 2 MG 3 Machine maintenance labour (machine maintenance-lhr) 12,600 8,400 12,600 Power (kilowatt hrs) 13,000 6,500 6,500 Rent and rates (floor area) 15,920 13,930 9,950 Total OH 41,520 28,830 29,050 Workings:- Machine maintenance labour (machine maintenance-lhr) MG 1 = $33,600 x 600/1600 = $12,600 MG 2 = $33,600 x 400/1600 = $8,400 MG 3 = $33,600 x 600/1600 = $12,600 Power (kilowatt hrs) MG 1 = $26,000 x 220/440 = $13,000 MG 2 = $26,000 x 110/440 = $6,500 MG 3 = $26,000 x 110/440 = $6,500 Rent and rates (floor area)



MG 1 = $39,800 x 1600/4000 = $15,920 MG 2 = $39,800 x 1400/4000 = $13,930 MG 3 = $39,800 x 1000/4000 = $9,950 The totals of ALL budgeted production overhead cost items, allocated and apportioned to the three machine groups, are as follows:

MG1 $129,560 MG2 $107,520 MG3 $119,070

Required: b) Calculate an appropriate absorption rate for each machine group. Machine Group MG 1 MG 2 MG 3 Total POH $129,560 $107,520 $119,070 Machine hours 8,200 5,600 4,900 OAR $15.80/Mhr $19.20/Mhr $24.30/Mhr c) Calculate the production overhead that would be charged to Job J21 which requires five

hours on MG1 machines, two hours on MG2 machines and three hours on MG3 machines. Machine Group MG 1 MG 2 MG 3 OAR $15.80/Mhr $19.20/Mhr $24.30/Mhr Actual MHrs 5 2 3 OH absorbed $79.00 $38.40 $72.90

CHAPTER 6: COSTING PRINCIPLES Illustration 1: Hovard Ltd Hovard Ltd produces one product, the Hova, which has the following standard cost per unit: Per unit Unit price Direct material VPC 2kg $5/kg Direct labour VPC 4 hours $6.50/hour Variable overheads VPC 4 hours $1/hour Fixed overheads FPC 4 hours $3/hour Variable selling costs VNPC 1 box $2.50/box What is the value of one unit of stock? Marginal costing VPC only

Absorption costing VPC + FPC Marginal Costing

$/u Absorption Costing

$/u Direct material (2kg/u x $5/kg) 10 10 Direct labour (4hrs/u x $6.50/hr) 26 26 VOH (4hrs/u x $1/hr) 4 4 Total VPC 40 40 FOH (4hrs/u x $3/hr) - 12 Total Costs 40 52 Illustration 2: Torwood Limited Torwood Limited is planning to manufacture a compound X72 that will be used in the food industry. The product will be sold for $15.00 per kilo (Selling price). The company expects the following standards to apply to the compound production



Ingredient M1: 0.25 kilos @ $2.00 per kilo VPC Ingredient M2: 0.75 kilos @ $3.00 per kilo VPC Labour: 0.20 hours @ $4.00 per hour VPC Variable overhead is absorbed @ $6.00 per labour hour VPC Fixed overheads are expected to be $6,600 per annum FPC They are absorbed on a unit basis and will accrue evenly over the year. The planned production and sales levels for the first 3 months of the year ending 31 December 2010 are:

Month January February March Production (units) 110 100 120 Sales (units) 80 110 100 The production levels in January to March are similar to the production levels that are planned for the other 3 month periods during the forthcoming year. The company had no stocks of raw materials or finished goods on 1 January 2010. Production for every 3 months is 330 units (110u+100u+120u) a) Produce a detailed standard cost card for 1 kilo of product X72 using:

(i) Absorption costing (ii) Marginal costing

Marginal Costing $/u

Absorption Costing $/u

Ingredient: M1(0.25kilos/u x $2/kilo) 0.50 0.50 Ingredient: M2 (0.75kilos/u x $3/kilo) 2.25 2.25 Labour (0.20hrs/u x $4/hr) 0.80 0.80 VOH (0.20hrs/u x $6/hr) 1.20 1.20 Total VPC 4.75 4.75 FOH - 5.00 Total Costs 4.75 9.75 How to calculate FOH/u? Working: Total FPOH ÷ Total Production Units = $6,600 ÷ (330u x 4) = $5/u b) Produce a detailed forecast profit and loss account for the three month period ending on 31

March 2010 using: (i) Absorption costing (ii) Marginal costing

Profit and Loss account (Absorption Costing) Jan - Mar $ $ Sales (290u x $15/u) 4350.00 Cost of sales Opening inventory 0 Production (330u x $9.75/u) 3217.50 Closing inventory (40u x $9.75/u) (390.00) (2827.50) Gross Profit 1522.50 Profit and Loss account (Marginal Costing) Jan - Mar $ $ Sales (290u x $15/u) 4350.00 Cost of sales Opening inventory 0 Production (330u x $4.75/u) 1567.50 Closing inventory (40u x $4.75/u) (190.00) (1377.50) Contribution 2972.50 FPOH ($6,600 x 3months ÷ 12months) (1650.00) Net Profit 1322.50



c) Produce a statement reconciling the profit calculated in part (b)(i) with that calculated in

part (b)(ii). MC Profit $1322.50 Increased in inventory level (40u x $5/u)

$200.00

AC Profit $1522.50 Illustration 3: X Limited X Limited commence business on 1 March making one product only, the standard cost of which is as follows: $ Direct labour VPC 5 Direct material VPC 8 Variable production overhead VPC 2 Fixed production overhead FPC 5 Standard production cost 20 The fixed production overhead figure has been calculated on the basis of a budgeted normal output of 36,000 units per annum. It is assumed that actual costs were the same as standard costs and all budgeted fixed expenses are incurred evenly throughout the year. Selling, distribution and administration expenses are: NPC Fixed $120,000 per annum Variable 15% of the sales value The selling price per unit is $35 and the numbers of units produced and sold were: March (units) April (units) Production 2,000 3,200 Sales 1,500 3,000 a) Prepare the profit statements for each of the months of March and April using:

(i) Marginal costing (ii) Absorption costing

Calculate cost unit under MC & AC MC AC Direct Labour $5.00 $5.00 Direct Material $8.00 $8.00 VPOH $2.00 $2.00 Total VPC $15.00 $15.00 FPOH $5.00 Total Costs $20.00 Profit Statements (MC) March April Sales @ $35 per unit 52,500 105,000 Cost of Sales Opening Stock 0 7,500 Production @ $15 per unit 30,000 48,000 Closing Stock @ $15 per unit (7,500) (22,500) (10,500) (45,000) 30,000 60,000 VNPC – selling, distribution & administration @15% (7,875) (15,750) CONTRIBUTION 22,125 44,250 Less: Fixed Costs

FPC ($5 x 36,000u ÷ 12 months) 15,000 15,000 FNPC ($120,000 ÷ 12months) 10,000 (25,000) 10,000 (25,000) MC PROFIT (2,875) 19,250



Profit Statements (AC) March April Sales @ $35 per unit 52,500 105,000 Cost of sales Opening Stock 0 10,000 Production @ $20/u 40,000 64,000 Closing Stock @$20/u (10,000) (30,000) (14,000) (60,000) GROSS STOCK 22,500 45,000 Over/(under) absorbed (5,000) 1,000 17,500 46,000 Less NPC

VNPC 7,875 15,750 FNPC 10,000 (17,875) 10,000 (25,750) AC PROFIT (375) 20,250 OH absorbed (OAR x Actual units produced) 10,000 16,000 Actual OH incurred 15,000 15,000 Over/(under) OH absorbed (5,000) 1,000 b) Present a reconciliation of the profit or loss figure given in your answers to (a)(i) and (a)(ii)

accompanied by a brief explanation. March April MC Profit (2,875) 19,250 Increased in inventory level (500u or 200u) x $5/u

2,500 1,000

AC Profit (375) 20,250 Illustration 4: Exclusive Limited Exclusive Limited manufactures and sells a motorcycle called ‘Eclubike’. This is the only product it manufactures and sells. The following data relates to the company’s activities for the quarters ended 30 September and 31 December 2012. Quarter ended 30 September 31 December Production (number of units) 1,200 1,000 Sales (number of units) 1,000 1,200

There were 300 units remaining in stock on 1 July 2012. The selling price of each unit is $5,000. Variable costs per unit are: $ Direct materials 1,500 Direct labour 1,300 Production expenses 200 3,000

Budgeted production for the year is 4,800 units Total VPC $3,000 x 4,800u = $14,400,000 Budgeted fixed production overheads for the year are $3,600,000 and are absorbed using a predetermined percentage of the total variable cost. FPOH per Quarter $3,600,000 ÷ 4 = $900,000 OAR = $3,600,000 ÷ $14,400,000 = $0.25 per variable cost Selling price $5,000 per unit VPC $3,000 per unit FPC $0.25 per variable cost x $3,000 (VC) $ 750 per unit Other fixed overheads are: Quarter ended



30 September 31 December Selling overheads 24,000 22,000 Distribution overheads 20,500 21,000 Administration overheads 16,000 17,000

a) Prepare separate profit statements using a columnar format clearly to show the results of each quarter: (i) under a marginal costing system (ii) under an absorption costing system

Profit Statements (MC) September

($’000) December

($’000) Sales @ $5000 per unit 5,000 6,000 Cost of Sales Opening Stock 900 1,500 Production @ $3,000 per unit 3,600 3,000 Closing Stock @ $3,000 per unit (1,500) (3,000) (900) (3,600) CONTRIBUTION 2,000 2,400 Less: Fixed Costs

FPOH 900 900 FNPC - Selling 24.5 22

• Distribution 20.5 21 • Administration 16 (961) 17 (960)

MC PROFIT 1,039 1,440 Profit Statements (AC) September

($’000) December

($’000) Sales @ $5000 per unit 5,000 6,000 Cost of sales Opening Stock @$3750/u 1,125 1,875 Production @ $3750/u 4,500 3,750 Closing Stock @$3750/u (1,875) (3,750) (1,125) (4,500) GROSS STOCK 1,250 1,500 Over/(under) absorbed 0 (150) 1,250 1,350 Less FNPC - Selling 24.5 22

• Distribution 20.5 21 • Administration 16 (61) 17 (60)

AC PROFIT 1,189 1,290 OH absorbed (OAR x Actual units produced) 900 750 Actual OH incurred 900 900 Over/(under) OH absorbed 0 (150) b) Reconcile the profits given by each system, for the two quarters separately, and in total.

September ($’000)

December ($’000)

MC Profit 1,039 1,440 Increased/(decreased) in inventory level 200u x $750/u

150 (150)

AC Profit 1,189 1,290 Illustration 5 A company, manufactures one product, has calculated its cost on a quarterly production budget of 10,000 units. The selling price was $5 per unit. Sales of the last year were: Quarter 1 10,000 units Quarter 2 9,000 units Quarter 3 7,000 units Quarter 4 5,500 units



The level of stock at the beginning of the year was 1,000 units. The company maintained its stock of finished products at the same level at the end of each of the four quarters. Based on its quarterly production budget, the cost per unit was as follows: Cost per unit $ Prime cost 3.50 Production overhead 0.75 Selling and distribution overhead 0.30 Total 4.55

Fixed production overhead, which has been taken into account in calculating the above figures, was $5,000 per quarter. Selling and distribution overhead was treated as fixed, and was charged against sales in the period in which it was incurred. Prepare the profit statement when the fixed overheads are: a) Absorbs it at the budgeted rate per unit (AC) b) Does not absorb it into the production cost, but charges it against sales in each quarter (MC) Quarters 1

($’000) 2

($’000) 3

($’000) 4

($’000) Sales @$5/u 50 45 35 27.5 Cost of Sales Opening Stock @$4.25/u 4.25 4.25 4.25 4.25 Production @$4.25/u 42.5 38.25 29.75 23.375 Closing Stock @$4.25/u (4.25) (4.25) (4.25) (4.25) (42.5) (38.25) (29.75) (23.375) GROSS PROFIT 7.5 6.75 5.25 4.125 Over/(under) absorbed 2.5 1.75 0.25 (0.875) 10 8.5 5.5 3.25 Less: NPC Selling & Distribution OH @$0.30/u (3) (2.7) (2.1) (1.65) AC PROFIT 7 5.8 3.4 1.6 Years 1

($’000) 2

($’000) 3

($’000) 4

($’000) Sales @$5/u 50 45 35 27.5 Cost of Sales Opening Stock @$3.5/u 3.5 3.5 3.5 3.5 Production @$3.5/u 35 31.5 24.5 19.25 Closing Stock @$3.5/u (3.5) (3.5) (3.5) (3.5) (35) (31.5) (24.5) (19.25) 15 13.5 10.5 8.25 Selling & Distribution OH @$0.30/u (3) (2.7) (2.1) (1.65) Contribution 12 10.8 8.4 6.6 Less: FC FPC (5) (5) (5) (5) MC PROFIT 7 5.8 3.4 1.6 Illustration 6 CSK Ltd CSK Ltd produces and sells product X. The unit details per unit of Product X are given as follows:- $ Direct material cost 30 Direct labour cost 22 Variable Production Overhead 12 Variable Marketing Cost 6 Fixed Production Overhead 15 Selling Price 120 MC = VPC only = $30 + $22 + $12 = $64 AC = VPC + FPC = $64 + $15 = $79 CSK produced 5,000 units of Product X in Period 1 and 6,500 units in Period 2. CSK sold 4,600 units of X in Period 1 and 6,000 units in Period 2.



The actual fixed production overheads incurred for Period 1 and 2 were $80,000 and $90,000 respectively. a) Prepare separate profit statements using a columnar format clearly to show the results of

each quarter: (i) under a marginal costing system (ii) under an absorption costing system

Profit Statements (MC) Period 1 Period 2 Sales @ $120 per unit 552,000 720,000 Cost of Sales Opening Stock 0 25,600 Production @ $64 per unit 320,000 416,000 Closing Stock @ $64per unit (25,600) (294,400) (57,600) (384,000) 257,600 336,000 Variable Marketing Costs @$6 per unit (27,600) (36,000) CONTRIBUTION 230,000 300,000 Less: Fixed Costs

FPOH (80,000) (90,000) MC PROFIT 150,000 210,000 Profit Statements (AC) Period 1 Period 2 Sales @ $120 per unit 552,000 720,000 Cost of Sales Opening Stock @$79 per unit 0 31,600 Production @ $79 per unit 395,000 513,500 Closing Stock @ $79per unit (31,600) (363,400) (71,100) (474,000) GROSS STOCK 188,600 246,000 Over/(under) absorbed (5,000) 7,500 183,600 253,500 Less Variable Marketing Costs @$6 per unit (27,600) (36,000) AC PROFIT 156,000 217,500 b) Reconcile the profits given by each system, for the two quarters separately, and in total.

Period 1 Period 2 MC Profit 150,000 210,000 Increased/(decreased) in inventory level 400u or 500u x $15/u

6,000 7,500

AC Profit 156,000 217,500 Illustration 7 Liewcf Ltd Liewcf Ltd produces a special component used for computers making which can be sold for $30 per unit. Units Details $ Direct material 11 Direct labour 4 Variable Production Overheads 2 Variable sales & distribution costs 3 VPC per unit $17 per unit Other Details Budgeted Fixed Production Overheads 36,000 Budgeted Production Units 12,000 FPOH per unit $3 per unit



Actual data Units Produced Units Sold Year 1 10,000 10,000 Year 2 9,000 7,000 Year 3 14,000 12,000 Year 4 8,000 8,000 The actual fixed production overheads incurred for all years were same as per budgeted. Required a) Prepare Profit Statement for the 4 years (above) showing details analysis of Costs of sales

using: (i) Absorption costing (ii) Marginal costing

Years 1 ($’000)

2 ($’000)

3 ($’000)

4 ($’000)

Sales @$30/u 300 210 360 240 Cost of Sales Opening Stock @$20/u 0 0 40 80 Production @$20/u 200 180 280 160 Closing Stock @$20/u 0 (40) (80) (80) (200) (140) (240) (160) GROSS PROFIT 100 70 120 80 Over/(under) absorbed (6) (9) 6 (12) 94 61 126 68 Less: NPC Variable sales & distribution @$3/u (30) (21) (36) (24) AC PROFIT 64 40 90 44 Years 1

($’000) 2

($’000) 3

($’000) 4

($’000) Sales @$30/u 300 210 360 240 Cost of Sales Opening Stock @$17/u 0 0 34 68 Production @$17/u 170 153 238 136 Closing Stock @$17/u 0 (34) (68) (68) (170) (119) (204) (136) 130 91 156 104 Variable sales & distribution @$3/u (30) (21) (36) (24) Contribution 100 70 120 80 Less: FC FPC (36) (36) (36) (36) MC PROFIT 64 34 84 44 b) Reconcile the difference between profit figures obtained using both costing principles. Years 1

($’000) 2

($’000) 3

($’000) 4

($’000) MC PROFIT 64 34 84 44 Increased/decreased in inventory level @$3/u 0 6 6 0 AC PROFIT 64 40 90 44 c) Explain the reasons of the differences in the profits reported.

A guide step by step explanation: 1. Why there is a difference in the profits reported? 2. Situations when profits in both principles will be the same. 3. What are the differences between AC and MC? 4. How will the profit differences arise?

Illustration 8 Vincent Ltd The following data have been extracted from the budgets and standard costs of Vincent Ltd, a company which manufactures and sells a single product.



$ per unit Selling price 45.00 Direct materials cost 10.00 Direct wages cost 4.00 Variable overhead cost 2.50 VPC per unit $16.50 per unit Fixed production overhead costs are budgeted at $400,000 per annum. Normal production levels are thought to be 320,000 units per annum. FPOH per unit = $400,000 ÷ 320,000u = $1.25 per unit FPOH per quarter = $100,000 Budgeted selling and administration costs (NPC) are as follow: Variable $1.50 per unit Fixed $80,000 per annum Fixed S&A per quarter $20,000 per quarter Budgeted administration costs are $120,000 per annum. Budgeted Administration $30,000 per quarter The following pattern of sales and production is expected during the first six months of 20x9: January – March April – June Sales (units) 60,000 90,000 Production (units) 70,000 100,000 There is to be no stock on 1 January 20x9. You are required: a) To prepare profit statements for each of the two quarters, in a columnar format, using

(i) Marginal costing (ii) Absorption costing

Profit Statements (MC) Jan – Mar ($’000)

Apr – Jun ($’000)

Sales @ $45 per unit 2,700 4,050 Cost of Sales Opening Stock 0 165 Production @ $16.5 per unit 1,155 1,650 Closing Stock @ $16.5per unit (165) (990) (330) (1485) 1,710 2,565 Variable S&A @$1.5 per unit (90) (135) CONTRIBUTION 1,620 2,430 Less: Fixed Costs

FPOH 100 100 Selling & Distribution 20 20 Administration 30 (150) 30 (150) MC PROFIT 1,470 2,280 Profit Statements (AC) Jan – Mar

($’000) Apr – Jun

($’000) Sales @ $45 per unit 2,700 4,050 Cost of Sales Opening Stock @ $17.75 per unit 0 177.50 Production @ $17.75 per unit 1,242.50 1,775 Closing Stock @ $17.75 per unit (177.50) (1065) (355) (1597.50) GROSS STOCK 1,635 2,452.50 Over/(under) absorbed (12.5) 25 1,622.50 2,477.50 Less Variable S&A @$1.5 per unit 90 135 Selling & Distribution 20 20 Administration 30 (140) 30 (185)



AC PROFIT 1,482.50 2,292.50 OH absorbed OAR x Actual units produced 70,000u x $1.25 87.50 100k u x $1.25 125 Actual OH incurred 100 100 Over/(under) absorbed (12.5) 25 b) Te reconcile the profits for the quarter January – March 20x9 in your answer to (a) above

Jan – Mar ($’000)

Apr – Jun ($’000)

MC Profit 1,470 2,280 Increased/(decreased) in inventory level 10,000u x $1.25/u

12.5 12.5

AC Profit 1,482.50 2,292.50 c) To write up the fixed production overhead control account for the quarter to 31 March 20x9,

using absorption costing principles. Assume that the fixed production overhead costs incurred amounted to $102,400 and the actual production was 74,000 units

FPOH Control A/C $’000 $’000 Actual OH incurred 102,400 FOH to WIP 105,714 Under-absorbed 3,314 (74,000u x $100,00 ÷ 70,000u) 105,714 105,714 d) To state and explain briefly the benefits of using marginal costing as the basis of

management reporting. • It is simple to operate. Closing stocks are valued at marginal production cost. • There are no apportionments of fixed costs. Fixed costs are charged in full against the profit of the period in

which they are incurred. • Under or over absorption of fixed overheads is avoided • Better information about expected profit is obtained from the use of variable costs and contribution in the

accounting system Illustration 9 A company is currently operating at a level 40% below practical manufacturing capacity due to both a decline in the market for its products and, at the same time, a reduction in its market share. For the year just ended, the summary absorption costing profit statement is as follows:

$000 $000 Sales revenue 11,200 Production cost of sales: Opening stock of finished goods (60,000 units) 540 Cost of production (VPC $6630 + FPC $1610) 8,240 Closing stock of finished goods (80,000 units) (720) (8,060) Gross profit (before adjustment) 3,140 Under-absorbed fixed production overheads (210) Gross profit (after adjustment) 2,930 Non-production overheads (2,805) Net profit 125

In both the opening and closing stock figures in the above profit statement, fixed production overheads average $2.00 per unit of finished product. Fixed production overheads absorbed into the cost of production in the year totaled $1,820,000. Non-production overheads include variable costs of $710,000 and fixed costs of $2,095,000. a) Prepare a marginal costing profit statement for the year just ended



$’000 $’000 Sales 11,200 Cost of Sales: Opening Stock (60,000u x $7/u) 420 Production 6,630 Closing Stock (80,000u x $7/u) (560) (6,490) 4,710 VNPC (710) Contribution 4,000 Less: FPC 1,820 FNPC 2,095 (3,915) MC Profit 85 b) Explain, with supporting figures, the difference between the profit in (a) above and that in the

absorption costing profit statement. MC Profit 85 Increased in inventory level 20,000u x $2/u

40

AC Profit 125 QUESTIONS 1. Total contribution is calculated by which formula?

A Total revenue less total costs B Total revenue less variable costs C Total revenue less fixed costs D Total revenue less production costs

Sales – variable costs = contribution 2. A company currently uses absorption costing. Information below relates to Product X for

Month 1: Opening stock Nil Production 900 units Sales 800 units

If the company had used marginal costing, which of the following combinations would be true? Profit Stock A would be higher would be higher B would be higher would be lower C would be lower would be higher D would be lower would be lower

Closing stock > opening stock ; AC profit > MC profit; AC = VPC + FPC > MC = VPC 3. A company uses marginal costing. In valuing stocks of finished goods which of the following

would NOT be included in the valuation? A Machine operator’s wages VPC B Factory rent FPC C Royalty fees per unit VPC D Raw materials VPC

4. The use of marginal costing as opposed to absorption costing may result in a difference in

the reported profit for an accounting period. In which of the following circumstances, would the use of marginal costing, rather than absorption costing, result in higher reported profits? Opening stocks Closing stocks A 100 units 50 units B 0 units 50 units C 100 units 100 units



D 0 units 0 units Opening Stock > Closing Stock; MC profit > AC profit

5. The overhead absorption rate for product Y is $2.50 per direct labour hour. Each unit of Y requires 3 direct labour hours. (FPOH per unit = $2.50/Lhr x 3 Lhr = $7.50/u) Stock of product Y at the beginning of the month was 200 units and at the end of the month were 250 units. Closing stock > opening stock; AC profit > MC profit What is the difference in the profits reported for the month using absorption costing compared with marginal costing? What’s the incremental value of inventory? (250u – 200u) x $7.50/u = $375

A The absorption costing profit would be $375 less B The absorption costing profit would be $125 greater C The absorption costing profit would be $375 greater D The absorption costing profit would be $1,875 greater

6. A company produces a single product for which cost and selling price details are as follows:

$ per unit $ per unit Selling price 28 Direct material 10 Direct labour 4 Variable overhead 2 Fixed overhead 5 21 Profit per unit 7

Last period, 8,000 units were produces and 8,500 units were sold. The opening stock was 3,000 units (What’s the closing stock? Opening 3,000u + production 8,000u – sold 8,500u = closing 2,500u) (closing

stock < opening stock; AC profit < MC profit) and profits reported using marginal costing was $60,000. The profits reported using an absorption costing system would be A $47,500 C $59,500 B $57,500 D $62,500

MC Profit $60,000 Decreased in inventory value ($2,500) (500u x $5/u) AC Profit $57,500

7. A company had opening stock of 48,500 units and closing stock of 45,500 units(closing stock <

opening stock ; AC profit < MC profit). Profits based on marginal costing were $312,250 and on absorption costing were $288,250. What is the fixed overhead absorption rate per unit? A $5.94 C $6.50 B $6.34 D $8.00

MC Profit $312,250 Decreased in inventory value ($24,000) (3,000u x $FOAR/u) AC Profit $288,250 What’s the FOAR per unit? = $24,000 ÷ 3,000u = $8/u

8. When comparing the profits reported under marginal costing and absorption costing when

the level of stocks increased: closing stock > opening stock; AC profit > MC profit A Absorption costing profits will be lower and closing stock valuations higher than the

marginal costing B Absorption costing profits and closing stock valuations lower than the marginal costing C Absorption costing profits will be higher and closing stock valuations lower than the

marginal costing D Absorption costing profits and closing stock valuations higher than the marginal costing



9. When comparing the profits reported using marginal costing with those reported using absorption costing in a period when closing stock was 1,400 units, opening stock was 2,000 units (closing stock < opening stock; AC profit < MC profit), and actual production was 11,200 units at a total cost of $4.50 per unit compared to a target cost of $5.00 per unit, which of the following statements is correct? A Absorption costing reports profits $2,700 higher B Absorption costing reports profits $2,700 lower C Absorption costing reports profits $3,000 higher D There is insufficient data to calculate the difference between the reported profits.

10. A company made 17,500 units at a total cost of $16 each (VPC $12; FPC $4). Three quarters of

the costs were variable and one quarter was fixed. 15,000 units were sold at $25 each. There were no opening stocks. (Closing stock > opening stock; AC profit > MC profit) By how much will the profits calculated using absorption costing principles differ from the profit if marginal costing principles had been used? A The absorption costing profit would be $22,500 less. B The absorption costing profit would be $10,000 greater C The absorption costing profit would be $135,000 greater D The absorption costing profit would be $10,000 less

What’s the incremental inventory value? 2500u x $4/u = $10,000

11. In a period where opening stocks were 15,000 units and closing stocks 20,000 (closing stock >

opening stock; AC profit > MC profit), a firm had a profit of $130,000 using absorption costing. If the fixed overhead absorption rate was $8 per unit, the profit using marginal costing would be: A $90,000 C $170,000 B $130,000 D Impossible to calculate

MC profit $A Increased inventory value $40,000 (5,000u x $8/u) AC profit $130,000 What’s the MC Profit? AC profit $130,000 – Inventory value $40,000 = MC profit $90,000

12. A manufacturing company produces a single product which has a selling price of $19 per unit and a unit cost of $14 as follows:

$ per unit Direct material VPC 5 Direct labour VPC 4 Variable production overhead VPC 2 Fixed production overhead FPC 3 14

Last period, the opening stock was 3,000 units and 13,000 units were produced. Sales were 14,000 units (closing stock < opening stock; AC profit < MC profit) and the profits reported using marginal costing was $67,000. The profits reported under an absorption costing system would be: A $64,000 C $70,000 B $65,000 D Impossible to calculate

MC profit $67,000 Decreased inventory value ($3,000) (1,000u x $3/u) AC profit $64,000



Data for Q13 – 16 For decision making purposes, a company uses the following figures for product B for a one-year period.

Activity 50% 100% Sales and production (000 units) 200 400 $’000 $’000 Sales 1,000 2,000 Production costs: Variable 400 800 Fixed 200 200

VPC per unit = $400,000 ÷ 200,000u = $2 per unit Selling price per unit = $1,000,000 ÷ 200,000u = $5 per unit Selling, distribution and administration expenses ($’000): NPC

Variable 200 400 Fixed 300 300

VNPC per unit = $200,000 ÷ 200,000u = $1 per unit The normal level of activity for the current year is 400,000 units. The fixed costs are incurred evenly throughout the year and actual fixed costs are the same as budgeted. Total FPOH $200,000; FPOH per unit = $200,000 ÷ 400,000u = $0.50 per unit; FPOH per quarter = $200,000 x 1 ÷ 4 = $50,000 There were no stocks of Product B at the start of the quarter in which 110,000 units were produced and 80,000 units were sold. 13. The amount of fixed production costs absorbed by Product B in the first quarter, using

absorption costing, is: A $80,000 C $110,000 B $40,000 D $55,000

OH absorbed = FPOH per unit x Actual unit produced = $0.50 per unit x 110,000u

= $55,000 14. The over/(under) absorption of fixed production costs in the first quarter is:

A ($5,000) C $10,000 B $5,000 D $15,000

OH absorbed $55,000 Actual OH incurred $50,000 Over absorbed $5,000

15. The net profit (or loss) for the first quarter using absorption costing, is: A ($115,000) C ($175,000) B $50,000 D $125,000

$ $ Sales (80,000u x $5/u) 400,000 Cost of sales Opening stock 0 Production (110,000u x $2.50/u) 275,000 Closing Stock (30,000u x $2.50/u) (75,000) (200,000) GROSS PROFIT 200,000 Over-absorbed 5,000 Less:

205,000

Non-production costs Selling, distribution and administration - Variable (80,000u x $1/u) 80,000



- Fixed ($300,000 x 1 ÷ 4) 75,000 (155,000) AC PROFIT $50,000

16. The net profit (or loss) for the first quarter, using marginal costing, is:

A $35,000 C $65,000 B ($340,000) D ($115,000)

Two ways to answer this question: Prepare the profit statement Reconciliation statement

MC profit $??? Increased in inventory value $15,000 (30,000u x $0.50/u) AC profit $50,000

17. Consider the following statements:

(1) The difference between the profit reported by absorption costing and that reported by marginal costing is due to over or under absorption of overhead due to stock value

(2) Absorption costing profit will be higher than marginal costing profit if sales units exceed production units (sales > production; closing stock < opening stock; AC profit < MC profit)

Are the above statements true or false? Statement (1) Statement (2)

A True True B True False C False False D False True

18. A company sells more than it manufactures in a period. (Closing < Opening; AC profit < MC profit)

Which of the following explains the difference in profit between absorption and marginal costing in the above situation? A Absorption costing profit is higher because of the difference in inventory levels B Absorption costing profit is lower because of the difference in inventory levels C Absorption costing profit is higher because of overhead over-absorption D Absorption costing profit is lower because of overhead under-absorption

19. A product has the following costs:

$/unit Variable production costs 4.80 VPC

Total production costs 7.50 VPC + FPC Total variable costs 5.90 VPC + VNPC

Total costs 10.00 production cost + non-production cost VPC $4.80/u FPC $2.70/u VNPC $1.10/u FNPC $1.40/u 11,400 units of the product were manufactured in a period during which 11,200 units were sold. Closing stock > opening stock; AC profit > MC profit What is the profit difference using absorption costing rather than marginal costing? Increased in inventory level (200u x $2.70/u) = $540 A The profit for the period is $540 lower B The profit for the period is $540 higher C The profit for the period is $820 lower D The profit for the period is $820 higher

20. A company sold 56,000 units of its single product in a period for total revenue of $700,000.

Finished stock increased by 4,000 units in the period. Costs in the period were:



Variable production $3.60 per unit Fixed production $258,000 (absorbed on the actual number of units produced) Fixed non-production $144,000 FPOH per unit = $258,000 ÷ 60,000u = $4.30 per unit Production costs = $3.60 + $4.30 = $7.90 Using absorption costing, what was the profit for the period? A $82,000 B $96,400 C $113,600 D $123,200 Sales Revenue $700,000 – Production costs (56,000u x $7.90/u) – FNPC $144,000 = $113,600

21. A company with a single product sells more units than it manufactures in a period.

Closing stock < Opening stock; AC profit < MC profit Which of the following correctly describes the use of marginal costing in comparison with absorption costing in the above situation? A Both profit and stock values will be higher B Both profit and stock values will be lower C Profit will be higher; stock values will be lower D Profit will be lower; stock values will be higher

22. What distinguishes absorption costing from marginal costing?

A Product costs include both prime cost and production overhead B Product costs include both production and non-production costs C Stock valuation includes a share of all production costs VPC + FPC

D Stock valuation includes a share of all costs 23. A company uses a marginal costing system. 10,000 units of its single product were

manufactured in a period during which 9,760 units were sold. Closing stock > Opening stock AC profit > MC profit If absorption costing is applied instead what would be the effect on profit? A Higher by (240 units x fixed production overhead cost per unit) B Lower by (240 units x fixed production overhead cost per unit) C Higher by [240 units x (fixed production overhead cost per unit + fixed non-production overhead cost per unit)] D Lower by [240 units x (fixed production overhead cost per unit + fixed non-production overhead cost per unit)]

CHAPTER 7: JOB & BATCH COSTING Illustration 1 Api Ltd Api Ltd undertake electrical work to customers’ requirements. Job number XY999 has been completed and supplied at the agreed price of $1,700 and the following details have been recorded against the job:

Direct materials Code Quantity Price ($) AA329 400 metres 0.50 per metre RR318 54 metres 0.40 per metre WW165 6 units 21.50 each CC214 4litres 3.00 per litre



Direct labour Hours Hourly rate ($) Electricians 30 6.50 Labourers 30 3.80 Apprentices 15 2.20 Production overhead is absorbed at a rate per direct labour on hours worked by the electricians and the current rate is $3.40. Administration overhead is charged on the basis of 15% of total production cost whilst 5% of the selling price is allowed for selling overhead. Prepare a job cost sheet for Job XY999, showing separate totals for: a) Prime cost $ $ Direct Materials AA329 (400m x $0.50/m) RR318 (54m x $0.40/m) WW165 (6u x $21.50/u) CC214 (4litres x $3/l)

200 21.6 129 12

362.6 Direct Labour Electricians (30hrs x $6.50/hr) Labourers (30hrs x $3.80/hr) Apprentices (15hrs x $2.20/hr)

195 114 33

342 PRIME COST 704.6 b) Production cost $ $ PRIME COST 704.6 POH Electricians (30hrs x $3.4/hr)

102

Total Production Cost 806.6 c) Total cost and profit (or loss) $ $ Sales 1,700 Production cost (806.6) Gross Profit 893.4 Non Production Cost Administration (15% x $806.6) Selling (5% x $1700)

120.99

85

(205.99) Net Profit 687.41 Illustration 2 JOB 123 JOB 123 incurred the following costs: Dept A 420 labour hours @ $3.50 per hour Dept B 686 labour hours @ $3.00 per hour Direct materials $3,280

Factory overheads are absorbed on labour hours and the rates are $8 per hour for Department A and $5 per hour for Department B. The firm uses a cost plus system for setting selling prices and expects a 25% gross profit. Administrative overheads are absorbed as 10% of selling price. Calculate the production costs incurred, administrative overheads absorbed, selling price and the net profit of JOB 123. $ $ Direct materials 3,280 Direct Labours Dept A (420hrs x $3.50/hr) Dept B (686hrs x $3/hr)

1,470 2,058

3,528 PRIME COST 6,808 FPOH



Dept A (420hrs x $8/hr) Dept B (686hrs x $5/hr)

3,360 3,430

6,790

PRODUCTION COST 13,598 Non Production Cost Administrative OH (10% x W1$18,131)

1,813

TOTAL COST 15,411 W1 Sales100% - Production cost 75% = Gross Profit 25% Production 75% $13598 Sales 100% $18,131 Sales $18,131 Total costs ($15,411) Net Profit $ 2,720 Illustration 3 During a period work was started on three jobs. Details of the jobs were as follow: Job 1001 ($) Job 1002 ($) Job 1003 ($) Materials issues 850 625 350 Direct wages 2,830 1,975 1,280 Direct expenses 125 350 50

$75 of materials were returned to stores from Job 1002 and $25 of materials were transferred from Job 1001 to Job 1003. Production overheads are absorbed at 200% of direct wages. Job 1001 was completed during the period and invoiced to the customer at $17,500. Prepare the job cost card for all the jobs and calculate the profit of Job 1001.

Job 1001 ($) Job 1002 ($) Job 1003 ($) Materials issues 850 625 350 Adjustment (25) (75) 25 Direct materials 825 550 375 Direct wages 2,830 1,975 1,280 Direct expenses 125 350 50 PRIME COST 3780 2875 1705 POH @200% Direct wages 5660 3950 2560 PRODUCTION COST 9440 6825 4265

Profit of Job 1001 Sales $17,500 Production cost ($9,440) PROFIT $8,060 Illustration 4 Mary Pink plc Mary Pink plc produces metal components to customer specification. Material PINK-02 is issued to jobs on a FIFO basis. During April the following purchases and issues were made:

Dates Tonnes Total Cost ($) Job No 3 Issue 30 142

10 Receipt 50 3,900 12 Issue 40 143 20 Receipt 50 3,950 20 Issue 40 144

Dates In Issued Balance

1 40 x $80 = $3200 3 30 x $80 = $2400

JOB 142 = $2400 10 x $80 = $800

10 50 x $78 = $3900 10 x $80 = $800 50 x $78 = $3900

12 10 x $80 = $800 30 x $78 = $2340 JOB 143 = $3140

20 x $78 = $1560



20 50 x $79 = $3950 20 x $78 = $1560 50 x $79 = $3950

20 20 x $78 = $1560 20 x $79 = $1580 JOB 144 = $3140

30 x $79 = 2370

Labour is paid at $8 per hour and production overheads are absorbed at a rate of $12 per direct labour hour. Hours worked during the month of April were:

Jobs 141 142 143 144 Labour hours 8 16 18 14

Jobs 141, 142 and 13 were completed during the month.

The following balances existed at 1 April. ~ Raw Material Account (PINK-02) 40 tonnes at $3,200 ~ Work-in-progress Control Account Job 141 at $3,360

Calculate the unit cost incurred on each job. JOB 141 142 143 144 WIP A/C 3360 - - - Direct Materials - 2400 3140 3140 Direct Labour 64 128 144 112 PRIME COST 3424 2528 3284 3252 POH 96 192 216 168 PRODUCTION COST 3520 2720 3500 3420 Example: Department B of Blue Plc produces a component from a standard length of material Z. In April 4,000 metres of Z at $15 per metre were issued to production. Conversion costs incurred were $16,000. The output for the month was 3,950 good components. The balance of the metres were scrapped and sold off at $2 per metre. Calculate the unit cost of each good component produced. Direct Materials 4,000m x $15/m $60,000 Scrapped value 50m x $2/m ($100) $59,900 Conversion Costs $16,000 Total Costs $75,900 Illustration 5 Becker Ltd Becker Ltd makes products to individual customer specification. However, every product made and sold is built by assembling components determined by the customers’ particular needs, upon a common base unit. All components are purchased but the base units are manufactured by Becker Ltd as follows:

Per unit Purchased material $1.20 Operation times (hours) - Cost centre 24 0.25 - Cost centre 26 0.20 - Cost centre 27 0.10

Budgeted direct labour rates per hour for Year 6 are $6.20, $7.10 and $5.40 for Cost centres 24, 26 and 27 respectively. Budgeted production absorption rates per hour for Year 6 are $8.10, $7.40 and $6.30.



The company has budgeted to make and sell 4,800 product units during Year 6. Many customers will purchase a single product unit. A few customers will purchase as many as 50 product units. a) Calculate the direct labour hours needed in each cost centre to meet the sales budget for

Year 6. Cost Centre 24 26 27 Operating hours 0.25 0.20 0.10 Total Lhrs 1200 960 480 b) Calculate the production cost of a batch of base units, and the cost per unit, if a batch

comprises 200 base units. 4800 base units $ $ Direct Materials 4800u x $1.20/u 5760 Direct Labour Cost Centre 24 (1200hrs x $6.20/hr) Cost Centre 26 (960hrs x $7.10/hr) Cost Centre 27 (480hrs x $5.40/hr)

7440 6816 2592

16848 PRIME COST 22608 POH Cost Centre 24 (1200hrs x $8.10/hr) Cost Centre 26 (960hrs x $7.40/hr) Cost Centre 27 (480hrs x $6.30/hr)

9720 7104 3024

19848 PRODUCTION COST per batch 42456 Production cost per batch $42,456 ÷) base units 4,800 Cost per base unit $8.845 Production cost per 200 base units Cost per base unit $8.845 x) base units 200 Total $1769 Illustration 6 Guess Ltd A local golf club has approached Guess Ltd, a clothing manufacturer, asking the company to provide a quotation for supply of 50 club blazers. The estimated batch production costs are:

Direct materials $ $ Cloth: 150m at $4.50/m 675 Chrome buttons: 300 at $0.25 each 75 Sundry 120 870 Direct labour Cutting: 2 hours at $5 10 Machining: 200 hours at $3.50 700 Finishing: 30 hours at $4 120 830 1,700 Production overheads Cutting: 2 hours at $25 50 Machining: 200 hours at $1 200 Finishing: 30 hours at $5 150 400 2,100

Additional information: Administration overhead is absorbed at 10% of sales value, selling and distribution overhead at 5% of sales value. Profit margin (Net Profit Margin) is 25% of sales value.



Sales 100% - Profit 25% - S&A 5% - Admin 10% = Production 60% Production 60% of sales $2,100 Sales $3,500 a) Determine the quotation price for the batch of 50 golf club blazers and the estimated profit

which would result from this price. Sales $3500 Production cost ($2100) Gross Profit $ 1400 Less: Non Production Cost Administration (10% x $3500) ($350) S&D (5% x $3500) ($175) Net Profit $875 b) Guess Ltd successfully quoted for the blazers at the price calculated in (a) above. After the

order has been completed and delivered, the following actual information is: Cloth: 160m at $4.70 used Cutting time: An extra 2 hours were needed compared to estimate Machining: 20 fewer hours were needed, but the direct labour rate had increased by

$0.50 per hour Finishing: 35 hours at $4.20 per hour were required

Prepare a batch cost card showing estimated and actual production costs, along with estimated and actual profit (or loss) on the batch.

Direct materials $ $ Cloth: 150m at $4.50/m 675 Chrome buttons: 300 at $0.25 each 75 Sundry 120 870 Direct labour Cutting: 2 hours at $5 10 Machining: 200 hours at $3.50 700 Finishing: 30 hours at $4 120 830 1,700 Production overheads Cutting: 2 hours at $25 50 Machining: 200 hours at $1 200 Finishing: 30 hours at $5 150 400 2,100 Non Production overheads Administration OH 10% x $3,500 350 Selling & Distribution OH 5% x $3,500 175 525 Total Cost 2,625

Sales $3,500 - Total Cost $2,625 = $875



Direct materials $ $ Cloth: 160m at $4.70/m 752 Chrome buttons: 300 at $0.25 each 75 Sundry 120 947 Direct labour Cutting: 4 hours at $5 20 Machining: 180 hours at $4.00 720 Finishing: 35 hours at $4.20 147 887 Production overheads Cutting: 4 hours at $25 100 Machining: 180 hours at $1 180 Finishing: 35 hours at $5 175 455 2,289 Non Production overheads Administration OH 10% x $3,500 350 Selling & Distribution OH 5% x $3,500 175 525 Total Cost 2,814

Sales $3,500 – Cost $2,814 = $686 Illustration 7 Foxfield plc Foxfield plc manufactures three types of bottles, Q1, Q2 and Q3. The following information relates to the standard raw material used to make each type of bottle.

Bottle type Q1 Q2 Q3 Material 300 grammes 400 grammes 500 grammes

The standard cost of raw material is $0.30 per kilogramme and the bottles are always produced in the ratio of 4:3:1 Total production quantities can vary from week to week. Company records show that in the last year the highest weekly production level achieved was 16,000 bottles and the lowest weekly production level was just 12,800 bottles. The company employs a total of 10 production staff each of whom are paid $140 per week whatever production level is achieved. The number of staff that work on each type of bottle is as follows:

Bottle type Q1 Q2 Q3 Employees 4 4 2

Production overheads are all fixed costs and total $5,400 per week. They are apportioned to each type of bottle in the ratio of 4:3:2. a) Calculate how many bottles of each type were produced in the week with the highest

production level and how many bottles of each type were produced in the week with the lowest production levels. Bottle type Production ratio Output 16,000 bottles Output 12,800 bottles

Q1 4 8,000 6,400 Q2 3 6,000 4,800 Q3 1 2,000 1,600

b) Calculate separately the cost of producing a single unit of each type of bottle when the

weekly production level achieved is: i. 12,800 bottles in total ii. 16,000 bottles in total (calculate the unit costs to four decimal places of a $)



Output 16,000 bottles 12,800 bottles Type Q1

8,000 bottles $

Q2 6,000 bottles

$

Q3 2,000 bottles

$

Q1 6,400 bottles

$

Q2 4,800 bottles

$

Q3 1,600 bottles

$ Direct Material 720 720 300 576 576 240 Direct Labout 560 560 280 560 560 280 POH 2400 1800 1200 2400 1800 1200 Production costs

3680 3080 1780 3536 2936 1720

Production cost per bottle

$0.4600 $0.5133 $0.8900 $0.5525 $0.6117 $1.075

Workings: Direct Material Cost Q1 8,000 bottles x 0.3kgs x $0.3/kg = $720 Q2 6,000 bottles x 0.4kgs x $0.3/kg = $720 Q3 2,000 bottles x 0.5kgs x $0.3/kg = $300 Direct Labour Cost Q1 4 staffs x $140 per week = $560 Q2 4 staffs x $140 per week = $560 Q3 2 staffs x $140 per week = $280 FPOH $5,400 (4:3:2) Q1 $2,400 Q2 $1,800 Q3 $1,200 c) Completed bottles are sent to another company for cleaning, labelling and packing. This

company employs several part-time personnel to clean, label and pack the bottles. This staffs are paid on an incremental piecework basis. The details of the piecework scheme are as follows:

No of bottles prepared and packed Rate paid per bottle 1,001 – 2,000 $0.016 2,001 – 3,000 $0.017 3,001 – 4,000 $0.018

* Note: Only the extra bottles qualify for the higher rates, and any bottles that are broken are deducted from the number of bottles that qualify for piecework. The figures below refer to the output achieved by three of the employees in a week:

Employee A B C Bottles prepared and packed 2,500 2,300 3,900 Bottles broken 50 150 100 Output 2,450 2,150 3,800

Calculate separately the amount payable to each of employees A, B and C based on the output achieved above.

Employees A B C Output 2,450 2,150 3,800 1001-2000 @ $0.016 32 32 32 2001-3000 @ $0.017 7.65 2.55 17 3001-4000 @ $0.018 - - 14.4 TOTAL ($) 39.65 34.55 63.40 QUESTIONS 1. Which costing method would be most suitable for an accountancy firm?

A Contract costing C Batch costing B Job costing D Process costing



2. A firm of accountants conducts a number of audits for local companies each year. Which of the following costing methods would it use? A Contract costing C Job costing B Service costing D Batch costing

Service costing relates to a business which provides a similar service to many customers, measured in units such as passenger-miles (transport) or bed-days (hospital). Batch costing is relevant to a production situation where batches of relatively small numbers of identical units are produced; production may then switch to a batch of a different product. 3. For a particular company the relationship between profit and selling price is given by the

formula: Profit = 15% of the selling price. What would be the selling price and profit for a job that had a total cost of $8,500? Total cost = 85% of sales Sales = $10,000 Profit = $1,500 Selling price Profit A $9,775 $1,275 B $9,775 $1,500 C $10,000 $1,275 D $10,000 $1,500

4. Which of the following is a feature of job costing?

A Production is carried out in accordance with the wishes of the customer B Associated with continuous production of large volumes of low-cost items C Establishes the cost of services rendered D Costs are charged over the units produced in the period

5. A firm uses job costing and recovers overheads on direct labour.

Three jobs were worked on during a period, the details of which are as follows: Job 1 Job 2 Job 3 $ $ $ Opening work in progress 8,500 0 46,000 Material in period 17,150 29,025 0 Labour in period 12,500 23,000 4,500

(i) Jobs 1 and 2 were the only incomplete jobs. What was the value of the closing work-in-progress?

A $81,900 C $140,675 B $90,175 D $214,425

JOB 1 OWIP $8,500 + Mat $17,150 + Lab $12,500 = $38,150 JOB 2 Mat $29,025 + Lab $23,000 = $52,025 TOTAL CWIP = $90,175

(ii) The overheads for the period were exactly as budgeted, $140,000.

Job 3 was completed during the period and consisted of 2,400 identical circuit boards. The firm adds 50% to total production costs to arrive at a selling price. What is the selling price of a circuit board?

A It cannot be calculated C $41.41 B $31.56 D $55.21

How to absorb the OH? Information is not completed. 6. P Limited manufactures ring binders which embossed with the customer’s own logo. A

customer has ordered a batch of 300 binders. The following data illustrates the cost for a typical batch of 100 binders.



$ Direct materials 30 Direct wages 10 Machine set up 3 Design and artwork 15 58

POH (20% x $10) 2 Total Production cost 60 Non Production cost S, D & A cost (5% x $60) 3 Total cost 63 75% of sales Mark-up 21 25% of sales Sales 84 100% of sales

Direct employees are paid on a piecework basis Piece rate is $0.10 per unit. P Limited absorbs production overhead at a rate of 20 per cent of direct wages cost. Five per cent is added to total production cost of each batch to allow for selling, distribution and administration overhead. P Limited requires a profit margin of 25 per cent of sales value. The selling price for a batch of 300 binders (to the nearest cents) will be:

A $189.00 C $201.60 B $193.20 D $252.00

7. Deli Lily Ltd is a small jobbing company. Budgeted direct labour hours for the current year

were 45,000 hours and budgeted direct wages costs were $180,000. OAR = $4/Lhr Job number 34679, a rush job for which overtime had to be worked by skilled employees, had the following production cost:

$ $ Direct materials 2,000 Direct wages Normal rate (400hrs) 2,000 Overtime premium 500 2,500 Production overhead 4,000 8,500

Production overhead is based on a direct labour hour rate. ($4000/400hrs) = $10/hr

If production overhead had been based on a percentage of direct wages costs instead, the production job number 34679 would have been: $10/hr x 45,000hrs ÷ $180,000 = 250% of direct wages

A $8,500 C $10,250 B $9,500 D $10,750

POH 250% of direct wages = 250% x $2500 = $6250 Direct Materials = $2000 Direct Wages = $2500 Total $10750 8. Each of the following statements is true about job order costing systems, EXCEPT:

A A job order costing system is a method used for estimating product costs based on detailed records of the cost flow for each job in firms that have several distinct products.

B A job order costing system estimates costs of manufacturing products for different jobs required for customer orders.

C A job order costing system produced the means to estimate costs so that bids can be prepared.

D A job order costing system relies on the concept of conversion costs. 9. What is the correct amount of Job Cost for EC1 given the following information:

Direct Materials = $3,000 Direct Labour = 2,500 hours Manufacturing Overhead = $4,700

Labour hourly rate is $2.00 per hour.



A $5,500 B $10,200 C $7,200 D $12,700

Direct Material $3,000 Direct Labour ($2/hr x 2,500hrs) $5,000 POH $4,700 TOTAL $12,700 10. Job XX has been completed at a total production cost of $3,633. Administration and selling

overheads are applied at 20% of production cost. The selling price of each job is established so as to provide a GROSS profit margin of 30%. What is the selling price of Job XX? A $4,723 B $5,190 C $5,668 D $6,228

GROSS profit 30% of sales $1557 Total production 70% of sales $3633

Sales 100% of sales $5190

11. A job cost estimate includes 630 productive labour hours. In addition, it is anticipated that idle time will be 10% of the total hours paid for the job. The wage rate is $12 per hour. What is the total estimated labour cost for the job? A $6,804 B $7,560 C $8,316 D $8,400

630 hours (exclusive 10% idle time) 90% Total labour hours = 630hours ÷ 0.9 = 700 hours Total labour costs = 700 hours x $12/hr = $8,400 12. The production cost of Job J6 was $12,600. Administration costs are charged to jobs at 30%

of production cost. The amount charged to the customer is calculated to provide a GROSS PROFIT MARGIN of 40%. What is the net profit on Job J6? A $1,260 B $4,620 C $10,920 D $15,120

W1 W2 Gross profit 40% $8,400 Gross Profit $8,400 Production 60% $12,600 Less: NPC Sales 100% $21,000 Admin (30% x $12,600) ($4,780) Total $4,620 13. In which of the following would job costing be most appropriate?

A College B Hospital C Car repairer D Chemical manufacturer



Question 1 Company X Company X is preparing a job cost estimate that will be used to provide a quote for a potential customer. Estimated costs for the job are to be based on the following: Direct materials $2,893 Direct labour 210 hours at a basic rate of $8.00 per hour. Direct production staff also receives a bonus each period. The bonus is paid on actual hours worked at a rate per hour calculated using the following formula:

{[(time allowed – time worked) ÷ time allowed] × basic rate per hour} The bonus to be included currently in the costing of all jobs is based on the following estimates for the period:

Total time worked 3,400 labour hours Total time allowed 4,000 labour hours

Production overheads Absorbed at 20% of prime cost (including labour bonus)

+ $9.00 per direct labour hour Non-production overheads Absorbed at 25% of total production cost Quoted prices are calculated to provide Company X with a net profit margin of 20% of sales. Required: (a) Calculate the total estimated PRODUCTION cost of the job. Estimated production costs of the job

$ $ Direct materials 2,893 Direct labour: Basic 1,680 (210 hours × $8/hr) Bonus 252 (210 hours × $1.2/hr*)

––––– Total 1,932

––––– Prime cost 4,825 Production overhead: 20% of prime cost 965 ($4,825 × 0.2) $9·00 per direct labour hour 1,890 (210 hours × $9/hr)

––––– Total 2,855

––––– Total production cost 7,680

––––– * Bonus per hour = {[(4,000 – 3,400) ÷ 4,000] × £8/hr} = £1·20 per hour (b) Calculate the price that should be quoted for the job. Quote for the job

$ Total production cost 7,680 Other overheads 1,920 ($7,680 × 0.25)

–––––– Total cost 9,600 Profit 2,400 [(9,600 ÷ 0.8) – 9,600]

–––––– Selling price 12,000

––––––



Illustration 1 CSK Ltd CSK Ltd produces detergent powder – called “X”. 2 types of materials, Y & Z are input into process to produce X. Finished goods will be transferred to store for future sales. Relevant data: Material Y - 1000kg @ $2.00 per kg Material Z - 500kg @ $1.50 per kg 5 workers are required to operate production machines. Each is paid at rate of $80/day for a 5-days week. Overheads for the week equals to $950. Output is 1500kg. Calculate cost for each kilo by preparing process account.

Process Account kg $ Material: Y 1000 2000 (W1) Z 500 750 (W2) Labour 2000 (W3) OH 950 1500 5700

Kg $ Output 1500 5700 1500 5700

Workings (W1) Material Y 1000kgs x $2/kg $2000 $/kg of output = $5700/1500kg (W2) Z 500kgs x $1.50/kg $750 = $3.80/kg (W3) Labour 5 workers x $80/day x 5 days $2000 2 PROCESSES (Note: Feature of process environment is that output of one process will become input of another process.) Product “Q” is manufactured by passing through 2 processes, Process 1 & Process 2. The following details relate to both processes for June 20x9.

Process 1 Process 2 Material (kg) Material costs ($) Labour hours Labour costs Expenses ($) Overheads Absorption Rates ($/dlhr) Output (kg)

1000 5000 3000

18000 2500

5 1000

5000 12000 1000 8000 1500

4 6000

All completed units from Process 1 will be input for Process 2.

CHAPTER 8: PROCESS COSTING



Required Prepare process 1 & 2 Accounts

Process 1 Account Kg $ Material 1000 5000 Labour 18000 Expenses 2500 OH 15000 (W1) 1000 40500

Kg $ Output (Process 2) 1000 40500 1000 40500

Working (W1) OH $5/hr x 3000hrs = $15000 $/kg of output = $40500/1000kg = $40.50/kg

Process 2 Account

Kg $ Process 1 1000 40500 Material 5000 12000 Labour 8000 Expenses 1500 OH 4000 (W1) 6000 66000

Kg $ Output 6000 66000 6000 66000

Working (W1) OH $4/hr x 1000hrs = $4000 $/kg of output = $66000/6000kg = $11/kg Illustration 2 A tool is manufactures in Process 1. Following data are relevant: Input Output Others 1500kg if Steel (@ $3/kg) Labour Costs $2500 Direct Expenses $300 Overheads $1200

1350kg Normal loss is expected at 10% of

input.

Prepare Process 1 & Normal loss account if… (a) Losses have no scarp value (b) Losses can be scrapped at a value of $0.867/kg

Answer for (a) When losses have no scrap value

Process 1 Account Kg $ Steel 1500 4500 Labour 2500 Expenses 300 OH 1200 1500 8500

Kg $ Normal Loss (10%) 150 - Output 1350 8500 1500 8500

$/kg of output = $8500/1350kg = $6.296/kg

Normal Loss Account Kg $ Process 1 150 - 150 -

Kg $



Answer for (b) when losses can be scrapped

Process 1 Account Kg $ Steel 1500 4500 Labour 2500 Expenses 300 OH 1200 1500 8500

Kg $ Normal Loss (10%) 150 130 (W1) Output 1350 8370 1500 8500

Working (W1) Normal Loss 150kgs x $0.867/kg = $130.05 ~ $130

$/kg of output = $8370/1350kg = $6.2/kg

Normal Loss Account Kg $ Process 1 150 130 150 130

Kg $ Bank 150 130 150 130

Illustration 3 A Water Container is produced after passing through Process 1. Relevant data are given below: Input Output Others 1000kg of plastic @ $2/kg Labour costs $800 Direct Exp. $250 Overheads $250

850kg are produced

No WIP

Normal Loss is expected at 10% of input

Scarp can be sold at

$0.50/kg Prepare Process 1 account, normal Loss account & abnormal loss or gain account. Answer Step 1 Calculation of losses *Remember: If there are losses in question, always calculate the loss. This step avoids mistake and may gain you some marks in the exam!!!

Process 1 Account Kg $ Plastic 1000 2000 Labour 800 Expenses 250 OH 250 1000 3300

Kg $ Normal Loss (10%) 100 50 (W1) Output 850 3069 (W2) Abnormal Loss 50 181(W2) 1000 3300

Working (W1) Normal Loss 100kg x $0.50/kg = $50 (W2) Calculate the cost per kg of expected output Total costs of production – scrapped value = $3250 = $3.611/kg

Expected output (W3) 900kg Both good output and abnormal loss are valued at this amount (W3) Expected output = Input – Normal Loss Notes: • Abnormal loss is given a COST • The cost of a abnormal loss is the same as a cost of one unit of good output from the process • The cost of abnormal loss is treated as a charge against profit in the period it occurs • Without scrapped value written off to the income statement • With scrapped value written off the balance to the income statement




Kg $ Bank 100 50 100 50

Abnormal Loss Account

Kg $ Process 1 50 181 50 181

Kg $ Bank 50 25 Income statement 156 50 181

ABNORMAL GAIN

It will occur when ACTUAL LOSSES < EXPECTED LOSSES As such, we reserve the entries of Abnormal Loss for Abnormal gain, but with minor difference. A Water Container is produced after passing through Process 1. Relevant data are given below: Input Output Others 1000kg of plastic @ $2/kg Labour costs $800 Direct Exp. $250 Overheads $250

850kg are produced

No WIP

Normal Loss is expected at 20% of input

Scarp can be sold at $0.50/kg

Prepare Process 1 account, normal Loss account & abnormal loss or gain account. Answers:

Process 1 Account Kg $ Plastic 1000 2000 Labour 800 Expenses 250 OH 250 Abnormal GAIN 50 200 1050 3500

Kg $ Normal Loss (20%) 200 100 (W1) Output 850 3400 1050 3500

Working (W1) Normal Loss 200kg x $0.50/kg = $100 (W2) Calculate the cost per kg of expected output [Better Approach] Total costs of production – scrapped value = $3200 = $4/kg

Expected output (W3) 800kg [With Scrapped value – Applied in Abnormal GAIN only] Total costs of production + scrapped value = $3400 = $4/kg

Actual output 850kg Both good output and abnormal GAIN are valued at this amount (W3) Expected output = Input – Normal Loss Notes: • Abnormal GAIN is given a value • The value per unit of abnormal gain is calculated in the same way as a cost per unit of abnormal gain is calculated • Without scrapped value The gain is taken to the income statement as an item of profit for the period • With scrapped value the profit should be reduced by the amount of income that would be earned from the sales

of scrap had the loss been normal




Kg $ Bank 150 (N1) 75 Abnormal gain 50 25 200 100

(N1) Actual losses are 150kgs only. The scrapped value (150kgs x $0.50/kg) is $75

Abnormal Gain Account Kg $ Normal loss 50 25 Income statement 175 50 200

Kg $ Process 1 50 200 50 200

Illustration 4 Details of a process 1 Input: D. Material 600kg $24,000 D. Labour $12,000 D. Expenses $4,000 Overheads $10,000 Output: 400kg completed. 200kg in progress with degree of completion Raw Material 100% Labour 60% Expenses 60% Overheads 50% Required: Prepare Process 1 account.

Process 1 Account Kg $ D. Material 600 24000 D. Labour 12000 D. Expenses 4000 OH 10000 600 50000

Kg $ Output 400 36308 (W1) CWIP 200 13692 (W2) 600 50000

Notes: • Unfinished production (WIP) is the processing work has not yet been completed. • It is valued using the concept of ‘equivalent units’. • ‘Equivalent units’ means the equivalent of one finished unit of output. • CWIP has all of its Direct Materials (100%) because the direct materials are all input at the start of the process. Statement of Equivalent Units & Costs

Input Output Input Elements D. Material D. Labour D. Expenses OH

D. Material D. Labour D. Expenses OH

kg Output 400 CWIP 200

% Oty 100 400 100 200 600

% Oty 100 400 60 120 520

% Oty 100 400 60 120 520

% Oty 100 400 50 100 500

Cost per EU = Total input – scrap value Total EU

$/EU = $24k/600 $40/EU

$/EU = $12k/520 $23.0769/EU

$/EU = $4k/520 $7.6923/EU

$/EU = $10k/500 $20/EU



Statement of Evaluation Input $/EU Output Elements

Output CWIP D. Material D. Labour D. Expenses OH

$40/EU $23.0769/EU $7.6923/EU $20/EU

EU $ 400 16000 400 9230.76 400 3076.92 400 8000 (W1) 36308

EU $ 200 8000 120 2769.228 120 923.076 100 2000 (W2) 13692

Illustration 5 Good Ltd Good Ltd makes a product called “Start”. Producing the Product “Start” will go through 2 processes, Process A and Process B. Relevant information as follow: Process A Material 5000kg $15,000 Labour $15,000 Production Overheads $4,000 Normal losss 5% of input Scrap value of losses $2 per kg Units transferred to Process B 4,050kg Closing WIP completion level 400kg Material 100% Labour 80% Production overheads 45% Process B Labour $12,000 Prod. O/H $6,000 Units transferred to store 3500kg Closing WIP completion level 300kg Material 100% Conversion costs 50% Normal loss 10% of input Scrap values of losses $5 per kg Prepare process A, process B, normal loss & abnormal loss/gain accounts.

Process A Account Kg $ Material 5000 15000 Labour 15000 POH 4000 5000 34000

Kg $ Normal Loss (W1) 250 500 Output (Process B) (W2) 4050 28950 CWIP (W3) 400 2407 Abnormal Loss (W4) 300 2143 5000 34000

Working: Normal Loss = 250kg x $2/kg = $500 Statement of Equivalent Units & Costs

Input Output Input Elements Material Labour POH

Material Labour POH

kg Output 4050 CWIP 400 Abnormal 300

% Oty 100 4050 100 400 100 300 4750

% Oty 100 4050 80 320 100 300 4670

% Oty 100 4050 45 180 100 300 4530




$/EU = $15k-0.5k/4750 $3.053/EU

$/EU = $15k/4670 $3.212/EU

$/EU = $4k/4430 $0.883/EU

Statement of Evaluation

Input $/EU Output Elements Output CWIP Abnormal Loss

Material Labour POH

$3.053/EU $3.212/EU $0.883/EU

EU $ 4050 12365 4050 13009 4050 3576 (W2) 28950

EU $ 400 1221 320 1027 180 159 (W3) 2407

EU $ 300 915 300 963 300 265 (W4) 2143

Process B Account

Kg $ Process A 4050 28950 Labour 12000 POH 6000 Abnormal gain (W4) 155 1944 4250 48994

Kg $ Normal Loss (W1) 405 2025 Output (FG) (W2) 3500 43880 CWIP (W3) 300 2989 4250 48894

Working: Normal Loss = 405kg x $5/kg = $2025 Statement of Equivalent Units & Costs

Input Output Input Elements Process A Labour POH

Process A Labour POH

kg Output 3500 CWIP 300 Abnormal (155)

% Oty 100 3500 100 300 100 (155) 3645

% Oty 100 3500 50 150 100 (155) 3495

% Oty 100 3500 50 150 100 (155) 3495


$/EU = $28950-$2025/3645 $7.387/EU

$/EU = $12k/3495 $3.433/EU

$/EU = $6k/3495 $1.717/EU

Statement of Evaluation

Input $/EU Output Elements Output CWIP Abnormal Gain

Process A Labour POH

$7.387/EU $3.433/EU $1.717/EU

EU $ 3500 25854 3500 12016 3500 6010 (W2) 43880

EU $ 300 2216 150 515 150 258 (W3) 2989

EU $ (155) (1145) (155) (532) (155) (267) (W4) (1944)

Illustration 7 3 products – Product El, Am and En are produced after passing through a distillation process. In August, 3,000 litres of material were input into the distillation process. Raw material was purchased at the cost of $5 per litre. Labour costs incurred were $20,000 while $25,000 was incurred for production overheads. Total costs = material (3,000l x $5/l) + Labour $20,000 + POH $25,000 = $60,000 At the end of process, 200 litres were lost – this loss rate was as per the expected loss estimated at beginning of process.



Following output was achieved at the end of month:- Litre Selling price/litre Product El 1,400 $30 Product Am 800 $40 Product En 600 $50 Required Apportion the joint costs to product El, Am and En using:-

a) Physical unit basis Products Litre $ El 1,400 30,000 Am 800 17,143 En 600 12,857 Total 2,800 60,000

Workings; Cost per litre = Total pre-separation costs/Total quantity produced = $60,000/2,800l = $21.43/l

b) Sales value basis Products Litre $/l Total sales $ El 1,400 30 42,000 24,231 Am 800 40 32,000 18,462 En 600 50 30,000 17,307 Total 2,800 104,000 60,000 Workings Cost per $ of sales = Total pre-separation costs/Total sales value = $60,000/$104,000 = $0.5769/$ of sales Illustration 8 Process A Input Details - 1000kgs of raw material at the price of $5 per kg - Labour costs of $10,000 and production overhead absorption rate at 200% of direct material

costs. Output Details - Normal loss of 5% of input. Losses can be scrapped at $3 per kg - 150kgs of Product BP (By Product) which can be sold at the price of $50 per kg. However, a

further processing is required before selling product BP at a cost of $8 per kg. - 800kgs of Product A (main product) at the selling price of $120 per kg. Required a) Prepare process A account and By Product account.

Process A Account Kg $ Material 1000 5000 Labour 10000 POH 10000 1000 25000

Kg $ Normal Loss (W1) 50 150 Product BP (W2) 150 6300 Product A (W3) 800 18550 1000 25000

Working (W1) Normal Loss (5% x 1,000kg) = 50kg (W2) Product BP (W3) Product A = Balancing figures ($25,000 - $150 - $6,300)



• By-products are incidental output, not main products. • By-products have very little sales value; it is pointless to try working out a cost and a profit for units of by-product. Either of two accounting treatments is used for a by-product. Method 1: Treat the income from the by-product as incidental income, and add it to sales in the income statement. Method 2: Deduct the sales value of the by-product from the common processing costs. The pre-separation costs for apportioning between joint products are therefore the actual pre-separation costs minus the sales value of the by-product. Total Sales value 150kgs x $50/kg $7,500 Further Processing costs 150kgs x $8/kg ($1,200) Net Realisable costs $6,300

By Product Account Kg $ Process A 150 6,300 Further Processing costs 1,200 150 7,500

Kg $ Bank 150 7,500 150 7,500

Normal Loss Account

Kg $ Process A 50 150 150 7,500

Kg $ Bank 50 150 50 150

Product A can be further processed into Product AA and be sold at $150/kg. There will be 15% loss during further processing. Cost of further processing is $20/kg of input. b) Should Product A be sold with or without further processing? Method 1 Incremental sales value $6,000 (Sales after further processing – sales before further processing) [$150/kg x (800kg x 85%) - $120/kg x 800kg] Deduct: Further processing costs ($16,000) ($20/kg x 800kgs) Net Loss ($10,000) Method 2 Profit before Further Processing Sales ($120/kg x 800kgs) $96,000 Deduct: Production costs ($18,550) Profit $77,450 Profit after Further Processing Sales ($150/kg x 680u) $102,000 Profit reduced Deduct: by $10,000 Production costs ($18,550) Further Processing ($16,000) ($34,550) Profit $67,450 Product A should sold without further processing. Illustration 9 Valeria Valeria is a manufacturer of product Q. Valeria runs a processing operation and as might be expected, uses process costing to account for such operations. Substance Q is produced in one process – process X.



An input of 10kgs of material A is required for producing product Q but only 9kg output of product Q is expected. In period 1, Valeria input 10kg of A at $9 per kg. Actual output achieved was only 8.5kgs. In period 2, Valeria input 10kg of A at $9 per kg and found that 9.5kgs of Q was produced. In neither period was there any opening or closing work in progress. Prepare process accounts for periods 1 and 2.

Process X – Period 1 Account Kg $ Material A 10 90 10 90

Kg $ Normal Loss 1 - Product Q 8.5 85 Abnormal Loss 0.5 5 10 90

Calculate the cost per kg of expected output Total costs of production – scrapped value = $90 = $10/kg

Expected output 9kg Both good output and abnormal loss are valued at this amount

Process X – Period 2 Account Kg $ Material A 10 90 Abnormal Gain 0.5 5 10.5 95

Kg $ Normal Loss 1 - Product Q 9.5 95 10.5 95

Calculate the cost per kg of expected output Total costs of production – scrapped value = $90 = $10/kg

Expected output 9kg Both good output and abnormal GAIN are valued at this amount Illustration 10 Joint products Q, R and S are produced at the end of Process C. In the month of June, the following were input into Process C:- Material CF 2000 litres @$3 per litre Labour 1000 hours @ $2 per hour Production overheads rate @$1 per hour Normal loss of 5% was expected during input stage. All losses can be scrapped off at the rate of $1.80 per litre. At the end of June, the following outputs were achieved, and the respective selling prices were:- Output Selling prices Product Q 1,000 litres $6 per litre Product R 500 litres $10 per litre Product S 300 litres $12 per litre Calculate the profits per unit for each product Q, R and S if joint costs are apportioned using:-

i. Physical measurement method



Process C Account litre $ Material CF 2000 6000 Labour 2000 POH 1000 2000 9000

litre $ Normal Loss 100 180 Product Q 1000 4642 Product R 500 2321 Product S 300 1393 Abnormal Loss 100 464 2000 9000

Products Litres $ Q 1000 4642 R 500 2321 S 300 1393 Abnormal Loss 100 464 Total 1900 8820

ii. Relative sales value approach Process C Account

litre $ Material CF 2000 6000 Labour 2000 POH 1000 2000 9000

Kg $ Normal Loss 100 180 Product Q 1000 3434 Product R 500 2862 Product S 300 2060 Abnormal Loss (W1) 100 464 2000 9000

(W1) Total costs of production – scrapped value = $9000 - $180 = $4.642/kg

Expected output 1900kg Abnormal loss is valued at this amount 100kg x $4.642/kg Products Litres $/l Sales value ($) $ Q 1000 6 6000 3,434 R 500 10 5000 2,862 S 300 12 3600 2,060 Total 1900 14600 8,356 Total costs = $9,000 – Normal Loss $180 – Abnormal Loss $464 =$8,356 QUESTIONS 1. In process costing ‘Point of separation’ is relevant to which of the following?

A Abnormal losses C Joint products B Normal losses D Abnormal gains

2. A company discovers, at the end of a process, that abnormal losses had occurred.

At what value would a unit of abnormal loss be recorded in the process account? A the total cost per unit of normal output B scrap value C the direct cost per unit of normal output D nil value

3. The total production cost of joint products can be apportioned between these products

using which of the following methods? 1. Weight 3. selling prices 2. sales revenue 4. net realisable value

A Items 1, 2 and 3 C Items 2, 3 and 4 B Items 1, 2 and 4 D Items 1, 3 and 4



4. A company input 500 kilos of material into a process at a cost of $7,000. As expected it had to scrap 10% of the input and it sold this for $10 per kilo. What was the net material cost (to the nearest cents) per kilo of good production? A $13.00 C $14.44 B $14.00 D $15.56

Total costs of production – scrapped value = $7000 – (500 x 0.1 x $10) = $14.44/kg

Expected output 450kg

5. How should the cost of disposing of normal waste (normal loss) arising in a process be treated,

if the waste has no saleable value (scrapped value)? A Debited to the process account C Debited to the normal loss account B Credited to the process account D Credited to the normal loss account

• Normal loss is not given a cost. • If units of normal loss have no scrap value, their value or cost is nil. • If units of normal loss have a scrap value, the value of this loss is its scrap value, which is set off against the cost

of the process. In other words, the cost of finished output is reduced by the scrap value of the normal loss. 6. A company inputs 15,000 kilograms of material into a process at a cost of $45,000.

Conversion costs amount to $60,000. The normal loss in process (which has no scrap value) is 10% of input. Which of the following is the correct accounting treatment for the normal loss? Debit Credit A Normal loss account $10,500 Process account $10,500 B Process account $10,500 Normal loss account $10,500 C Normal loss account $4,500 Process account $4,500 D No book-keeping entry is required No book-keeping entry is required

7. Which of the following would be appropriate cost units for a hospital?

1 Patient-day or Patient-night 2 Per operation 3 Per consultation A Items 1 and 2 only C Items 2 and 3 only B Items 1 and 3 only D Items 1, 2 and 3

8. What basis is used to credit abnormal losses in a process account?

A Raw material cost per unit B Nil value C Production cost per unit of actual output D Production cost per unit of normal output

9. A company manufactures Chemical Z in a single process. No losses occur in the process.

There was no work-in-progress at the start of a period during which 300 litres of raw material were input to the process, 250 litres of the finished chemical were output from the process in the period. The work-in-progress (50litres) remaining was 100% complete with respect to materials(50litres) and 50% complete with respect to conversion costs (25 litres). What were the equivalent units for closing work-in-progress at the end of the period? Material Conversion costs A 25 litres 25 litres B 25 litres 50 litres C 50 litres 25 litres D 50 litres 50 litres



10. What is an equivalent unit? A A unit of output which is identical to all others manufactured in the same process B Notional whole units used to represent uncompleted work C A unit of product in relation to which costs are ascertained D The amount of work achievable, at standard efficiency levels, in an hour

The following information relates to questions 11 and 12 Patacake Ltd produces a certain food item in a manufacturing process. On 1 November, there was no opening stock of work in progress. During November, 500 units of material were input to the process, with a cost of $9,000. Direct labour costs in November were $3,840. Production overhead is absorbed at the rate of 200% of direct labour costs. Closing stock on 30 November consisted of 100 units which were 100% complete as to materials and 80% complete as to labour and overhead. There was no loss in process. 11. The full production cost of completed units during November was

A $10,400 C $16,800 B $16,416 D $20,520

Direct Material 500u $9,000 Output 400u $16,800 Direct Labour $3,840 CWIP 100u $3,720 POH $7,680 Total Production Costs $20,520 Input Output Material Labour POH Material FG 100 400 100 400 100 400 Labour CWIP 100 100 80 80 80 80 POH 500 480 480 Total input $9,000 $18/eu $3,840 $8/eu $7,680 $16/eu EU 500 480 480 Input $/eu FG CWIP Material $18/eu 400 7200 100 1800 Labour $8/eu 400 3200 80 640 POH $16/eu 400 6400 80 1280 16800 3720 12. The value of the closing work in progress on 30 November is

A $2,440 C $4,104 B $3,720 D $20,520

13. In process costing, a joint product is

A A product which is later divided into many parts B A product which is produced simultaneously with other products and is of similar value to

at least one of the other products C A product which is produced simultaneously with other products but which is of a

greater value than any of the other products D A product produced jointly with another organisation

14. What is a by-product?

A A product produced at the same time as other products which has no value B A product produced at the same time as other products which requires further

processing to put it in a saleable state C A product produced at the same time as other products which has a relatively low

volume compared with the other products D A product produced at the same time as other products which has a relatively low value

compared with the other products



15. In process costing, if an abnormal loss arises, the process account is generally A Debited with the scrap value of the abnormal loss units B Debited with the full production cost of the abnormal loss units C Credited with the scrap value of the abnormal loss units D Credited with the full production cost of the abnormal loss units

The following information relates to questions 16 to 18 The following data relates to a process for the latest period: Opening work in process 1,000 litres valued at $1,500 Input 30,000 litres costing $15,000 Conversion costs $10,000 Output 24,000 litres Closing work in process 3,500 litres

Losses in process are expected to be 10% of period input. They are complete as to input material costs but are discovered after 60% conversion. Losses have a scrap value of $0.20 per litre. Closing work in process is complete as to input materials and 80% complete as to conversion. 16. The number of material-equivalent units was:

A 24,000 C 30,000 B 28,000 D 31,000

17. The number of conversion-equivalent units was:

A 27,100 C 28,000 B 27,300 D 30,100

18. A chemical process has a normal wastage of 10% of input. In a period, 2,500kg of material

were input and there was an abnormal loss of 75kg. What quantity of good production was achieved? 2500kg – NL (10%x2500kg) – Abnormal 75kg=2175kg A 2,175kg C 2,325kg B 2,250kg D 2,475kg

19. In a process account, abnormal losses are valued:

A At their scrap value B The same as good production C At the cost of raw materials D At good production cost less scrap value

20. Process B had no opening stock. 13,500 units of raw material were transferred in at $4.50.

Additional material at $1.25 per unit was added in process. Labour and overheads were $6.25 per completed unit and $2.50 per unit incomplete. ($4.5+$1.25+$2.5=$8.25) If 11,750 completed units were transferred out, what was the closing stock(1750u) in Process B? A $77,625 C $141,000 B $14,437.50 D $21,000

CWIP = 1750u x $8.25/u = $14,437.50 21. 6,500 kg (Finished goods) of a product were manufactured in a period. There is a normal loss of

20% of the weight of material input. An abnormal gain of 4% of the material input occurred in the period. How many kg of material (to the nearest kg) were input to production in the period? A 5,460 Actual loss = 16% (20 – 4) B 7,738 Finished goods = 84% 6,500kg

C 8,125 Input = 6,500kgs ÷ 0.84

D 8,553 = 7,738 kgs



22. How are abnormal GAINS recorded in a process account? A credited at a cost per unit based on total production cost divided by actual output B credited at a cost per unit based on total production cost divided by normal output C debited at a cost per unit based on total production cost divided by actual output D debited at a cost per unit based on total production cost divided by normal output

23. Products A and B are manufactured in a joint process. The following data is available for a

period: Joint process costs $30,000 Output: Product A 2,000 kg

Product B 4,000 kg Selling price: Product A $12 per kg

Product B $18 per kg What is Product B’s share of the joint process costs if the sales value method of cost apportionment is used? A $7,500 B $18,000 C $20,000 D $22,500

Sales value of putput: Product A 2,000 kg at $12 = $24,000 Product B 4,000 kg at $18 = $72,000

–––––––– $96,000 ––––––––

Share of joint process cost – Product B = $30,000 x (72,000 ÷ 96,000) = $22,500

24. 400 litres of a chemical were manufactured in a period. There is a normal loss of 25% of the

material input into the process. An abnormal loss of 5% of material input occurred in the period. Actual Output 70% How many litres of material (to the nearest litre) were input into the process in the period? A 500 Actual output 70% 400 litres B 520 Input 400 litres ÷ 0.7 = 571 litres C 560 D 571

25. The following statements relate to process costing:

i. The higher the net realisable value of normal losses the lower will be the cost per unit of normal output. The cost of normal output is the balancing figures after scrapped value & NRV

ii. The higher the abnormal losses the higher will be the cost per unit of normal output. Abnormal loss is sharing the production cost

Are the statements true or false? Statement 1 Statement 2

A False False B False True C True False D True True



26. In process costing how are abnormal gains accounted for in the process account? A Credited at the cost per unit of normal output B Credited at disposal value C Debited at the cost per unit of normal output D Debited at disposal value

27. Raw materials costing $12,800 were input to a process during a period. Conversion costs

totalled $18,430. There was no work-in-progress at the beginning of the period and no process losses during the period. 3,600 units of the product were completed in the period with 400 units(CWIP) remaining in the process at the end of the period, complete for materials and with 70% of the conversion costs applied. What was the production cost per unit? A $7.81 B $7.95 C $8.05 D $8.68 Material-EU Finished Goods 100% 3,600u CWIP 100% 400u Material cost/EU = $12,800/4,000EU = $3.20/eu Conversion-EU Finished Goods 100% 3,600u CWIP 70% 280u Conversion cost/EU = $18,430/3,880EU = $4.75/eu • Production cost/u = $3.20 + $4.75 = $7.95

28. In a production process the percentage completion of the work-in-progress (WIP) at the end

of a period is found to have been understated. When this is corrected what will be the effect on the cost per unit and the total value of WIP?

Cost per unit Total value of WIP A Decrease Decrease B Decrease Increase C Increase Decrease D Increase Increase

29. Products A and B are manufactured jointly. Production costs in the joint process totalled

$102,000 in a period and output was: Product A 12,000 units (sold at $6.00 per unit) $72,000 $45,900 Product B 22,000 units (sold at $4.00 per unit) $88,000 $56,100 $160,000 $102,000 Joint costs are apportioned on the basis of realisable value. What share of the joint costs in the period would be apportioned to Product B? A $40,800 B $45,900 C $56,100 D $66,000

30. 12,000 kg of a material were input to a process in a period. The normal loss is 10% of input.

There is no opening or closing work-in-progress. Output in the period was 10,920 kg. What was the abnormal gain/loss in the period? A Abnormal gain of 120 kg Expected output (12,000kg x 0.9) < Actual output 10,920kg B Abnormal loss of 120 kg =GAIN 120kg C Abnormal gain of 1,080 kg



D Abnormal loss of 1,080 kg 31. In process costing what are equivalent units?

A Production output expressed as expected performance B Production of homogeneous product C Notional whole units representing incomplete work D Units produced in more than one process

32. Completed output from a manufacturing process in a period totalled 5,640 units (Actual output). There was no work-in-progress at the beginning of the period but 780 units (CWIP), 60% complete, remained in the process at the end of the period. What are the equivalent units of the closing work-in-progress? A 312 B 468 780u × 0.6 = 468u

C 780 D 6,108

33. A manufacturing process had no work-in-progress at the beginning of a period. 20,000 units

(input) of raw material, costing $8.20 per unit, were input to the process in the period. 18,600 (Finished Goods) completed units were transferred out. Conversion costs were $7.65 per completed unit and $6.12 per incomplete unit. CWIP 1,400u; CWIP cost per unit = $8.20 + $6.12 = $14.32 What was the value of the closing work-in-progress? A $8,568 B $20,048 1,400u × $14.32 = $20,048

C $22,190 D $30,788

34. Consider the two statements below relating to process costing:

1. In costing for joint products, apportioning joint costs using net realisable values will always result in higher costs being apportioned to each product than using volume of output. 2. The benefit of further processing should be evaluated on the basis of incremental costs and revenues only. Are the statements TRUE or FALSE?

Statement 1 Statement 2 A True True B False False C True False D False True

35. A manufacturing business worked on four jobs during a period:

Job 1 Job 2 Job 3 Job 4 $ $ $ $

Work-in-progress at the beginning of the period 5,260 3,170 6,940 – Direct materials in the period 1,120 4,650 6,010 3,360 Direct labour in the period 580 3,970 5,170 2,980 Production overheads totalled $11,430 in the period and are absorbed into the cost of jobs as a percentage of direct labour cost. Jobs 1, 3 and 4 were all completed in the period. What is the value of work-in-progress at the end of the period? A $8,620 B $11,790



C $12,193 D $15,363 POH = $11,430 ÷ (580 + 3970 + 5170 + 2980) = 0.9 $ WIP 3,170 Material 4,650 Labour 3,970 POH (0.9 x 3970) 3,573 Total 15,363

36. For which costing method is the concept of equivalent units relevant?

A Batch costing B Job costing C Process costing D Service costing

37. Costs incurred in a process totalled $61,600 for a period. 22,000 units of finished product were

manufactured, of which 440 units were rejected. This is the normal level of rejects for the process. Rejected units are sold for $1.80 per unit. What was the cost per unit of good output (to the nearest penny)? A $2.76 B $2.80 C $2.82 D $2.86 Total costs $61,600 Scrapped value (440u x $1.80/u) ($792) $60,808 ÷ Good Output (22,000u – 440u) 21560u Cost per unit $2.82

38. A process requires the input of a single raw material at the start of the process. There are no

process losses. 10,000 units of the material were input to the process in a period. At the end of the period, processing was only 75% complete on 800 units of the material. There was no work-in-progress at the beginning of the period. What were the equivalent units of production?

Raw material Conversion costs A 9,400 9,400 B 9,800 9,800 C 10,000 9,400 D 10,000 9,800 [(100%) 9200u + (75% x 800u)]

39. Products X and Y are joint products. The joint process costs for a period, during which 10,000

units of X and 15,000 units of Y were manufactured, were $87,500. The sales value method is used to apportion the joint process costs. Selling prices are $6.00 per unit for Product X and $8.00 per unit for Product Y. What is Product X’s share of the joint process costs? A $29,167 B $35,000 C $37,500 D $43,750 Product Units $/u Sales value Production Cost X 10,000 6 60,000 29,167 Y 15,000 8 120,000 58,333



Total 180,000 87,500

40. Costs incurred in a process totalled $216,720 for a period. 24,000 units of finished product were manufactured including 1,200 units which were rejected (normal loss) on inspection and disposed of. The level of rejects in the period was normal. Rejects are sold for $2.00 per unit (Scrap value). What was the cost per unit for the process? A $8.93 B $9.03 C $9.40 D $9.51

Total costs $216,720 Scrap value (1,200u x $2/u) ($2,400) $214,320 ÷ Actual output (24,000u – 1,200u) 22,800u $9.40/u 41. The following information relates to a production process for a period:

Input costs $194,860 Completed output 11,400 units Closing work-in-progress 1,200 units (60% complete) 720 units

There were no process losses or opening work-in-progress. What was the cost per unit for the process? A $15·47 B $16.08 $194,860 ÷ (11,400u + 720u)

C $16.40 D $17.09

42. Are the following statements about joint product cost apportionment TRUE or FALSE?

i. Using the sales value method of cost apportionment, and where there is no further processing, the gross profit margin of each product will be the same

ii. Using the units of output method of cost apportionment, the joint cost per unit will be the same for all joint products

Statement 1 Statement 2

A False False B False True C True False D True True

43. A firm uses job costing. Details of the three jobs worked on during a period are:

Job BA Job DC Job FE $ $ $

Opening work-in-progress 22,760 3,190 – Direct materials in the period 4,620 11,660 14,335 Direct labour in the period 12,125 10,520 7,695 POH 8,872 8,812 Overheads are absorbed at 40% of prime cost in each period. Jobs DC and FE remained incomplete at the end of the period. What is the value of the closing work-in-progress? A $61,894



B $65,084 Job DC ($3190+$11660+$10520+$8872) + Job FE ($14335+$7695+$8812)

C $66,360 D $68,952

44. Costs totalling $4,250 were incurred in a process in a period. 80 units of output were rejected

and destroyed in the period, 20 units more than allowed for as a normal loss, leaving 420 units of good production to be transferred to finished goods. What is the amount written off as abnormal loss (to the nearest $)? A $170 B $177 C $193 [$4,250 ÷ (420units good output + 20units abnormal loss)] x 20 units D $202

45. Consider the following statements relating to process costing:

Statement 1: normal losses are credited to the process account at the cost per unit incurred on normal production Statement 2: abnormal gains are debited to the process account at the cost per unit incurred on normal production Which statement(s) is/are true? A Both statements are true B Neither statement is true C Statement 1 only is true D Statement 2 only is true

46. Conversion costs incurred in a process totalled $71,628 in a period. There was no work-in-

progress at the beginning of the period. 9,000 units (Finished Goods) of product were completed in the period, leaving 1,000 units (CWIP), 40% complete as to conversion costs, still in-progress at the end of the period. What was the conversion cost per unit of production? A $7.16 B $7.46 C $7.62 $71,628 ÷ [9,000 + (1,000 x 0·4) units] D $7.96

47. What is a by-product?

A A product that has insignificant saleable value compared with the joint products B A product that has no saleable value C A product that can be further processed D A waste product that has to be disposed of at a cost

48. 5,400 units of a company’s single product were sold for total revenue of $140,400. Fixed costs

in the period were $39,420 and net profit was $11,880. What was the contribution per unit? A $7.30 B $9.50 Net Profit $11,880 + Fixed Cost $39,420 = Contribution $51,300 C $16.50 Contribution $51,300 ÷ 5,400units = $9.50/u

D $18.70

49. The following information relates to a process for a period: Input costs $45,705



Output passing inspection 9,600 units Normal inspection loss 300 units (sold for $2.00 per unit) Abnormal inspection loss 100 units (sold for $2.00 per unit) What was the cost per unit (to two decimal places of $)? A $4.49 B $4.56 C $4.65 D $4.76 Total cost $45,705 – scrap value (300u x $2/u) $45,105 = $4.65/u Expected output 9,600u + 100u 9,700u

50. A process produces two joint products, X and Y, with selling prices of $10 per litre and $20

per litre respectively. In a period, joint costs were $56,000 and finished output was: Product X 5,000 litres $10 $50,000 $24,889 Product Y 2,000 litres $20 $40,000 $31,111 $90,000 $56,000 The sales value method is used to apportion joint costs. What amount of joint costs should be apportioned to Product Y? A $16,000 B $24,889 C $31,111 D $37,333

CHAPTER 9 SERVICE COSTING Illustration 1 Happy Returns Ltd operates a haulage business with three vehicles. The following estimated cost and performance data are available:

Petrol $0.50 per kilometre on average Repairs $0.30 per kilometre Depreciation $1.00 per kilometre, plus $50 per week vehicle Driver’s wages $300 per week per vehicle Supervision and general expenses $550 per week Loading costs $6.00 per tone

During week 26, it is expected that all three vehicles will be used, 280 tonnes will be loaded and total 3950 kilometres travelled (including return journeys when empty) as shown in the following table:

Journey Tonnes carried (one way)

Kilometres (one way)

Tone-kilometre

1 2 3 4 5 6 7 8 9

34 28 40 32 26 40 29 26 25

180 265 390 115 220 480 90 100 135

6120 7420 15600 3680 5720 19200 2610 2600 3375

280 1975 66325



Required: Calculate the average cost per tone-kilometre for week 26. $ Petrol $0.50/km x 3950km 1975 Repairs $0.30/km x 3950km 1185 Depreciation ($1/km x 3950km) + ($50 x 3) 4100 Drivers’ wages $300 x 3 900 Supervision 550 Loading $6/t x 280 tones 1680 Total 10390 Cost per tone-kilometre $10390 ÷ 66325 $0.1567 Illustration 2 The following information is available for a public transport business for a period: 1 2 3 Revenue from passengers ($000) 146.2 293.5 271.9 Number of vehicles 7 12 10 Total vehicle usage (000 kilometres) 56 96 85 Variable operating costs ($ per kilometres) 0.60 0.60 0.56 Service fixed costs ($000) 49.7 85.2 70.7

In addition to the above, general fixed costs are incurred. These include the costs of management, supervision, and administration and are absorbed into the cost of journeys at a predetermined rate per kilometre (to three decimal places of a $). The predetermined rate for the period was based upon:

Budgeted general fixed costs $312,000 Budgeted vehicle usage 233,000 kilometres

General fixed cost per vehicle usage ($312,000 ÷ 233,000km) = $1.339 per km Calculate the profitability of each of the services provided by the public transport business in terms of:- a) Total net profit (to one decimal place of $’000) Period 1 2 3 Usage (‘000 km) 56 96 85 Revenue 146.2 293.5 271.9 Variable Operating costs (0.60/0.60/0.56) (33.6) (57.6) (47.6) Contribution 112.6 235.9 224.3 Service Fixed costs (49.7) (85.2) (70.7) General Fixed costs @ $1.339/km (75) (128.5) (113.8) Net Profit (12.1) 22.2 39.8 b) Contribution per kilometer (to two decimal places of $) net of variable costs 1 2 3 Contribution 112.6 235.9 224.3 Total vehicle usage (000 kilometres) 56 96 85 Contribution per km $2.01 $2.46 $2.64 c) Contribution per vehicle (to one decimal place of $000) net of all direct service costs. 1 2 3 Contribution 112.6 235.9 224.3 Service Fixed costs (49.7) (85.2) (70.7) 62.9 150.7 153.6 Number of vehicles 7 12 10 Contribution per vehicle $8.99 $12.56 $15.36 QUESTIONS: 1. A hotel has 60 available rooms. Room occupancy was 80% during a 90 day period during

which total costs incurred were $104,976.



What was the cost per occupied room per night in the period? A $12.44 B $15.55 C $19.44 D $24.30 [$104,976 ÷ (60 x 0.8 x 90)] = 24·30

2. In a 30 day period a restaurant was open for nine hours per day. Costs incurred in the period totalled $65,124. The following additional information is available: Number of tables available 15 Number of seats per table 4 Customer turnround 1 hour Seating occupancy achieved 60% What was the cost per customer? A $4.02 B $6.70 C $16.08 D $26.80 [$65,124 ÷ (30 x 9 x 15 x 4 x 0.6 customers)]

3. The cost unit of a transport business with a single vehicle is tonne/kilometre. Total costs were

$4,558 in a week during which the following journeys were made: Journey Load (tonnes) Distance (kms) 1 5 80 2 7 100 3 3 40 4 5 60 5 4 150

What was the cost per tonne/kilometre in the week? A $0.44 B $2.15 C $10.60 D $57.57

Journey Load (tonnes) Distance (kms) Tonne/kms 1 5 80 400 2 7 100 700 3 3 40 120 4 5 60 300 5 4 150 600

_______ Total 2,120

_______ Total cost per tonne/km = $4,558/2,120 = $2.15 4. Which of the following statements is true of service costing?

A A composite cost unit may be used B Indirect costs normally represent a small proportion of total costs C Output is often tangible D The cost of direct materials tends to be high in relation to other costs



Question A passenger transport company operates four coaches, each with a capacity for 25 passengers. The company operates on two routes with two coaches on each route. Each coach on Route A completes 12 journeys per day and on Route B 10 journeys per day. The coaches operate for six days per week and for 52 weeks per year. The company is analysing performance on each route and has gathered the following route data for the last 52 weeks:

Route A Route B Average number of passengers per journey 13 11 Average fare paid per passenger, per journey $2.26 $2.80 Route length per journey (kilometres) 14 19 Operating cost data for the last 52 week period is as follows: Drivers’ wages: $110 per coach per working day Fuel and maintenance: $0.8932 per kilometre Vehicle tax and insurance: $3,870 per coach for the period Apportioned fixed costs: $21,760 per route for the period Required: Calculate, for the 52 week period, the: (a) total cost per coach on each route; Total cost per coach on each route

Route A Route B $ $

Drivers’ wages 34,320 (W1) 34,320 Fuel and maintenance 46,818 (W2) 52,949 (W3) Fixed costs: Vehicle tax & insurance 3,870 3,870 Apportioned costs 10,880 (W4) 10,880

–––––––– ––––––––– $95,888 $102,019 –––––––– –––––––––

Workings: W1 $110/coach x 6 days/week x 52 weeks/year W2 $0·8932/km x 12 journeys/day x 14 km/journey x 6 days/week x 52 weeks/year W3 $0·8932/km x 10 journeys/day x 19 km/journey x 6 days/week x 52 weeks/year W4 $21,760/route ÷ 2 coaches/route (b) cost per kilometre on each route (to four decimal places of $); Cost per kilometre on each route

Route A Route B Total cost $95,888 $102,019 ÷ total kilometres 52,416 (W5) 59,280 (W6) Cost per kilometre $1.8294 $1.7210

–––––––– ––––––––– Workings: W5 12 journeys/day x 14 km/journey x 6 days/week x 52 weeks/year W6 10 journeys/day x 19 km/journey x 6 days/week x 52 weeks/year (c) Profit per kilometre on each route. Profit per kilometre on each route

Route A Route B $ per km $ per km

Revenue 2.0986 (W7) 1.6211 (W8) Costs 1.8294 1.7210

–––––––– ––––––––– Profit/(loss) $0.2692 per km $(0.0999) per km

–––––––– –––––––––

Workings: W7 13 passengers/journey x $2·26/passenger ÷ 14 km/journey W8 11 passengers/journey x $2·80/passenger ÷ 19 km/journey



CHAPTER 10 CVP ANALYSIS Illustration 1 A company manufactures and sells a single product which has the following cost and selling price structure:

$/unit $/unit Selling price 120 Direct material 22 Direct labour 36 Variable overhead 14 Fixed overhead 12 84 Profit 36

The fixed overhead absorption rate is based on the normal capacity of 2,000 units per month. Assume that the same amount is spent each month on fixed overheads. Budgeted sales for next month are 2,200 units. $ $ Selling Price 120 Direct material 22 Direct labour 36 VOH 14 (72) Contribution 48 x) budgeted sales 2,200u 2,200u Total contribution 105,600 Total FC (24,000) Budgeted Profit 81,600 Required:

a) What is the break-even point in units? = Fixed Costs = $12/u x 2,000u = 500units Contribution/u $48/u

b) What is the break-even point in sales revenue?

= Fixed Costs = $12/u x 2,000u = $60,000 C/S $48/$120

c) What would be the break-even point if fixed costs went up to $30,000?

= Fixed Costs = $30,000 = 625units Contribution/u $48/u = Fixed Costs = $30,000 = $75,000 C/S $48/$120

d) What would be the break-even point if fixed costs were $24,000 but unit variable costs

went up to $80? = Fixed Costs = $24,000 = 600units Contribution/u ($120-$80) = Fixed Costs = $24,000 = $72,000 C/S $40/$120



Illustration 2 Your company makes and sells a single product. The details are as follow: Selling price $24 per unit Variable cost $18 per unit Contribution $6 per unit Budgeted sales for the year are 140,000 units. Budgeted fixed costs for the year are $800,000. Required: (a) Calculate the break-even point in units and $.

= Fixed Costs = $800,000 = 133,333units Contribution/u $6/u = Fixed Costs = $800,000 = $320,000 C/S $6/$24

Notes:

• Break-even is the volume of sales at which the business just ‘break even’ • No PROFIT no LOSS • Total costs = Total revenues • Total contribution = Fixed costs • It shows the minimum volume of sales which must be achieved to avoid making a loss the period

(b) Calculate the margin of safety, as a percentage of budgeted sales.

= Budgeted Sales – Break-Even (u) x 100% Budgeted Sales = 140,000u – 133,333u x 100% = 4.76% 140,000u

Notes: • The difference between the budgeted sales volume and the break-even sales volume • It is a measurement of how far sales can fall short of budget before the business makes a loss • A large MOS = low risk of making loss • A small MOS = high risk of making loss

Illustration 3 Liew Blogger Ltd has capital employed of $1million. Its target return on capital employed is 20% per annum. ROCE = Net Profit ÷ Capital Employed 0.2 = Net Profit ÷ $1,000,000 Net Profit = $200,000 Liew Blogger Ltd manufactures a standard product ‘H1N1’. Selling price of ‘H1N1’ = $60 per unit Variable costs per unit = $20 Annual fixed costs = $100,000 Contribution per unit = $40 Required: What volume of sales is required to achieve the target profit? Target Sales Volume = Fixed Costs + Targeted Profit or Target Contribution Contribution/u Contribution/u = $100,000 + $200,000 $40/u = 7500 units Target Sales Revenue = Fixed Costs + Targeted Profit or Target Contribution Contribution/Sales Contribution/Sales



= $100,000 + $200,000 $40/$60 = $450,000 QUESTIONS: Questions 1 and 2 are based on the following data:

Sales units 128,000 Sales revenue $640,000 Variable costs $384,000 Fixed costs $210,000

Sales revenue $640,000 Less: Variable costs ($384,000) Total contributions $256,000 Divide: Sales units 128,000 Contribution per unit $2 C/S ratio = Total Contribution or Contribution per unit = $256,000 = 0.4 Total Sales Sales per unit $640,000 1. What sales revenue is required to earn a profit of $65,000?

A $458,333 C $687,500 B $590,000 D $705,000

Target Sales Revenue = Fixed Costs + Targeted Profit Contribution/Sales = $210,000 + $65,000 0.4 = $687,500 2. How many sales units are required to earn a profit of $52,000?

A 52,400 units C 131,000 units B 87,333 units D 160,500 units

Target Sales Volume = Fixed Costs + Targeted Profit Contribution/u = $210,000 + $52,000 $2/u = 131,000 Questions 3 – 5 are based on the following data: A firm, ACME Cleaning Supply, wishes to sell a single cleaning solution called VeryKleen. The cleaner costs $4.50 per bottle to produce and package. The firm will sell the product using door to door salespeople. A selling price of $9.00 per bottle is expected and the firm anticipates fixed costs of $50,000 per year. $ per unit

Selling price $9.00 Less: Variable cost $4.50 Contribution $4.50 3. What is the contribution margin percentage%? $4.50/$9.0 x 100%

A 200% C $9.00 B 50% D $4.50

4. What is the breakeven quantity?

A 3,023 bottles C 9,999 bottles B 11,112 bottles D 100,008 bottles



= Fixed Costs = $50,000 = 11,111units Contribution/u $4.50/u

5. What is the breakeven revenue?

A $100,000 C $100,008 B $11,112 D $3,055

= Fixed Costs = $50,000 = $100,000 C/S $4.5/$9

The following data relates to questions 6 and 7 Data concerning K Limited’s single product is as follows:

$ per unit Selling price 6.00 Variable production cost 1.20 Variable selling cost 0.40 Fixed production cost 4.00 Fixed selling cost 0.80

Budgeted production and sales for the year are 10,000 units $ Per unit

Sales 6.00 Less: Variable costs ($1.20 + $0.40) 1.60 Contribution 4.40 6. What is the company’s breakeven point, to the nearest whole unit?

A 8,000 units C 10,909 units B 8,333 units D 10,910 units

= Fixed Costs = ($4.00+$0.80) x 10,000 = 10,909units Contribution/u $4.40/u

7. It is now expected that the variable production cost per unit and the selling price per unit will

each increase by 10%, and fixed costs will rise by 25%. What will be the new breakeven point, to the nearest whole unit?

$ Per unit Sales ($6 x 1.1) 6.60

Less: Variable costs ($1.6 x 1.1) 1.76 Contribution 4.84 Total Fixed costs ($4.80 x 1.25 x 10,000) 60,000

A 8,788 units C 11,885 units B 11,600 units D 12,397 units = Fixed Costs = $60,000 = 12,397units Contribution/u $4.84/u

8. A company’s breakeven point is 6,000 units per annum. The selling price is $90 per unit and

the variable cost is $40 per unit. What are the company’s annual fixed costs? A $120 C $300,000 B $240,000 D $540,000 Fixed Costs = Fixed Costs = 6,000units Contribution/u ($90-$40)/u

Fixed Costs = 6,000u x $50/u = $300,000



9. Z plc makes a single product which it sells for $16 per unit. Fixed costs are $76,800 per month and the product has a contribution/ sales ratio of 40%. In a period when actual sales were $224,000, Z plc’s margin of safety, in units, was: A 2,000 C 14,000 B 12,000 D 32,000

Break-Even ($) = $76,800 ÷ 0.4 = $192,000 MOS ($) = Profit x SP Contribution/u = MOS (u) x SP MOS ($) = Actual Sales – Break Even = $224,000 - $192,000 = $32,000 $32,000 = MOS (u) x $16/u MOS (u) = 2,000u 10. Which of the following statements about profit-volume graphs is/are correct?

(i) The profit-volume line crosses the x axis at the breakeven point. (ii) Any point on the profit-volume line above the x axis indicates the profit (as measured

on the vertical axis) at the level of activity. (iii) The profit-volume line starts at the origin. is fixed cost

A (i) and (ii) only C (i) and (iii) only B (ii) and (iii) only D (i), (ii) and (iii)

11. A company has fixed costs per period as follows:

Manufacturing $56,000 Non-manufacturing $38,000 Total $94,000 Variable costs of the company's single product are $4.20 per unit and the selling price is $7.00 per unit. Contribution per unit = $2.80

What sales revenue (to the nearest $000) is required in a period to make a profit of $6,000? A $163,000 B $167,000 C $241,000 D $250,000

Target Sales Revenue = Fixed Costs + Targeted Profit Contribution/Sales = $94,000 + $6,000 $2.80/$7.00 = $250,000 12. A product has the following unit costs:

Variable manufacturing $7.60 Variable non-manufacturing $1.40 Fixed manufacturing $3.70 Fixed non-manufacturing $2.70 The selling price of the product is $17.50 per unit Contribution per unit = Sales $17.50 – Variable costs ($7.60+$1.40) = $8.50 What is the contribution/sales ratio? A 12.0% B 48.6% = $8.50 ÷ $17.50 x 100%



C 51.4% D 56.6%

13. 5,400 units of a company’s single product were sold for total revenue of $140,400. Fixed costs

in the period were $39,420 and net profit was $11,880. What was the contribution per unit? A $7.30 B $9.50 C $16.50 D $18.70 Total contributions = Net Profit $11,880 + Fixed Costs $39,420 = $51,300 Contribution per unit = $51,300 ÷ 5,400 units = $9.50

14. A company manufactures and sells 4,000 units of a product each month at a selling price of

$22 per unit. The prime cost of the product is $11.60 per unit and the monthly overheads are: $

Variable production 7,200 Variable selling and administration 5,200 Fixed production 16,400 Fixed selling and administration 6,800 What is the product’s gross profit margin (to one decimal place)? A 6.8% B 20.5% C 33.2% D 59.5%

Contribution per unit = $22 - $11.60 = $10.40 Total Contribution ($10.40 x 4,000u) $ 41,600 Less: VPOH $7,200 FPOH $16,400 ($23,600) GROSS PROFIT $ 18,000 Gross Profit Margin = Gross Profit x 100% = $18,000 x 100% = 20.5% Sales ($22 x 4,000u) Questions 15 – 16 are based on the following data: The following planned results are available for a company with a single product:

Sales units 112,000 Sales revenue $100,800 Variable costs $60,480 Fixed costs $36,000

Contributions $40,320 Contribution per unit = $0.36 Profits $4,320 15. What sales revenue is required to earn a profit of $5,000?

A $68,333 B $90,000 C $102,500 D $113,889

Target Sales Revenue = Fixed Costs + Targeted Profit $36,000+$5,000 $102,500 Contribution/Sales $40,320/$100,800



16. What is the margin of safety (sales units)? A 10,800 B 12,000 C 22,000 D 100,000

Profits = $4,320 = 12,000u Contribution/u $0.36/u 17. Which of the following describes the margin of safety?

A actual contribution margin achieved compared with that required to break-even B actual sales compared with sales required to break-even C actual versus budgeted net profit margin D actual versus budgeted sales

18. The following data relates to a company with a single product:

Selling price $12.50 per unit Fixed production costs $77,000 per period Fixed non-production costs $46,000 per period Total Fixed costs $123,000 per period Break-even sales per period 24,600 units What is the contribution per unit? A $3.13 B $5.00 C $7.50 D $9.37

BE (u) = Fixed Costs ÷ Contribution/u x 100% 24,600u = $123,000 ÷ contribution/u Contribution/u = $5 19. A company has a single product. The following budgeted information relates to a period:

Sales units 800,000 Sales revenue $1,000,000 Total variable costs $590,000 Total fixed costs $350,000 Total contribution $410,000 C/S 0.41 What sales revenue (to the nearest $’000) is required to break even? A $350,000 B $593,000 C $683,000 D $854,000

BE ($) = Fixed Costs ÷ C/S = $350,000 ÷ 0.41 = $853,659 ~ $854,000 20. Budgeted sales of a company’s single product in a period are 20,000 units, producing a total

contribution of $180,000 at a selling price of $24 per unit. Fixed costs are $6 per unit based on the budgeted sales quantity. Contribution per unit = $180,000 ÷ 20,000u = $9 What is the budgeted variable cost per unit? A $3 B $9 C $15



D $18 Selling Price $24

Less: Variable cost SA Contribution $9 Variable cost per unit = $24 - $9 = $15 21. A firm makes a single product. Budgets have been prepared for the year ahead and

include production and sales of 60,000 units with a break-even point of 45,000 units. What is the margin of safety ratio? = [Budget Sales – BE (u)] ÷ Budget Sales x 100%

A 25% = (60,000u – 45,000u) ÷ 60,000u x 100% B 33% = 25% C 75% D 133%

Question 1 A book publisher makes an initial payment of $25,000(Fixed Costs) to authors for each accepted manuscript, followed by a royalty payment of 15% of the net sales price (0.15 x $12 = $1.80) of each book sold. The net sales price of a book, which is the revenue received by the publisher, is the listed selling price in bookstores less the bookstore margin of 20% of the listed selling price. A particular book has a listed selling price of $15.00 (Net SP = $15 x 0.8 = $12). Costs incurred on the book by the publisher (excluding initial and royalty payments to the author) are: Variable costs per copy $3.20 Total fixed costs $80,000 Required: (a) Calculate the number of copies of the particular book that need to be sold for the publisher:

Net sales price = $15 × 0.8 = $12 Variable cost per unit = $3.20 + (0.15 × $12) = $5 Contribution per unit = $12 – $5 = $7 Total fixed costs = $80,000 + $25,000 = $105,000

(i) To break even;

= Fixed cost/Contribution per unit = $105,000/$7 = 15,000 copies. (ii) To make a profit of $35,000.

Target Sales Volume = Fixed Costs + Targeted Profit $105,000+$35,000 20,000 copies Contribution/u $7/u (b) Prepare a profit/volume (P/V) chart for the publisher, relating to the particular book publication, covering sales up to 25,000 copies. A P/V chart shows the relationship between the number of units sold and the total profit or loss. To produce a P/V graph plot two points and join with a straight line. Points already calculated are: 0 profit/loss 15,000 copies $35,000 profit 20,000 copies $70,000 profit 25,000 copies



Question 2 Company A manufactures and sells a single product. The following information is available: Selling price per unit $60.00 Variable costs per unit $36.00 Fixed costs per period $216,000 Contribution per unit $24.00 BE (u) = Fixed Costs ÷ Contribution/u = $216,000 ÷ $24/u = 9,000u 0 profit/loss 9,000 units $120,000 profit 14,000 units Required: (i) Draw a profit/volume (P/V) chart based on sales up to 14,000 units per period. (ii) Clearly identify the break-even point, and areas of profit and loss, on the chart.

-120

-100

-80

-60

-40

-20

0

20

40

60

80

0 5 10 15 20 25 30

Y-Values

Y-Values

-250

-200

-150

-100

-50

0

50

100

150

0 2 4 6 8 10 12 14 16

Y-Values

Y-Values



Question 3 A garage operates a vehicle repair service. Space is limited and, although the garage is usually busy, the owner is concerned about the amount of profit that can be generated. Summarised data concerning vehicle repairs follows: Average number of repairs per period 85 Average variable cost of each repair $126 Average sales value of each repair $210 Average contribution of each repair $84 The owner is considering extending the garage opening hours. This would result in an increase in fixed costs from $6,972 to $7,728 per period. The average variable cost and the average sales value of each repair would be expected to remain the same. Required: (a) For the current situation, calculate per period the:

(i) profit; Profit = Contribution $7,140 [85 repairs x ($210 – $126) per repair] less fixed costs $6,972 = $168 (ii) break-even sales revenue. Break-even sales revenue = Fixed costs ÷ C/S ratio

= $6,972 ÷ 84/210 = $17,430

(b) For the proposed extended opening hours, calculate the average number of repairs required per period to achieve the current level of profit. Extended working hours: required number of repairs per period = Required contribution $7,896 ($7,728 + $168) ÷ contribution per repair $84 = 94 repairs Question 4 The variable costs per unit of a company’s single product for the period just ended were:

$ Production 120 Non-production 16 The selling price of the product in the period was $200 per unit and the sales revenue required to break-even was $120,000. Required: (a) Calculate for the period just ended:

(i) The contribution/sales ratio; Contribution/sales ratio Contribution per unit = 200 – (120 + 16)

= $64 Contribution sales ratio = (64 ÷ 200) x 100%

= 32% (ii) The total fixed costs. Total fixed costs Fixed costs = contribution at break-even point Therefore $120,000 x 0.32 = $38,400

(b) In the following period it is expected that fixed costs will total $39,000. Required: Calculate the required contribution per unit in the following period for the break-even point to be 500 units. Contribution per unit = fixed costs ÷ break-even sales units = $39,000 ÷ 500 units = $78 per unit



Question 5 The total costs incurred at various output levels, for a process operation in a factory, have been measured as follows:

Output (units) Total cost ($) 11,500 102,476 12,000 104,730 12,500 106,263 13,000 108,021 13,500 110,727 14,000 113,201

a) Using the high-low method, analyse the costs of the process operation into fixed and

variable components. Variable cost per unit = ($113,201 – $102,476) ÷ (14,000u – 11,500u) = $4.29/u Total Fixed Costs = $113,201 – (14,000u x $4.29/u) = $53,141

b) Calculate, and comment upon, the break-even output level of the process operation in (a)

above, based upon the fixed and variable costs identified and assuming a selling price of $10.60 per unit. Contribution per unit = $10.60 - $4.29 = $6.31 Break-Even (u) = $53,141 ÷ $6.31/u = 8,422u

c) Calculate the target output level if the company wishes to make a profit of $30,000. Target Sales Volume = Fixed Costs + Targeted Profit $53,141+$35,000 13,969 copies Contribution/u $6.31/u

i. Define the term ‘margin of safety’.

Notes: • The difference between the budgeted sales volume and the break-even sales volume • It is a measurement of how far sales can fall short of budget before the business makes a loss • A large MOS = low risk of making loss • A small MOS = high risk of making loss

ii. Calculate the margin of safety if budgeted output is 12,500 units.

MOS (u) = Budgeted Sales – BE (u) = 12,500u – 8,422u = 4,078u MOS (%) = [Budgeted Sales – BE (u)] ÷ Budgeted Sales x 100% = 4,078u ÷ 12,500u x100% = 32.6% MOS ($) = MOS (u) x SP/u = 4,078u x $10.60/u = $43,226.80

Question 6 A firm makes a single product with a marginal cost (VPC) of $0.15. Up to 10,000 units can be sold at $0.40 per unit but when the selling price is reduced to $0.30 per unit, total units sold will be more than 10,000. Fixed costs are $2,500 per period and there is a planned profit of $4,000 per period.



a) Based on selling price of $0.30, how many units must be made and sold to break even? Contribution per unit = $0.30 - $0.15 = $0.15 BE (u) = $2,500 ÷ $0.15/u = 16,667u b) Based on selling price of $0.20, how many units must be made and sold to break even?

Contribution per unit = $0.20 - $0.15 = $0.05 BE (u) = $2,500 ÷ $0.05/u = 50,000u

c) How many units must be made and sold to achieve profit of $4,000 per period?

Target per sales volume = (Fixed costs + Targeted Profit) ÷ contribution/u = ($2,500+$4,000) ÷ $0.15/u = 43,333u

d) What is the margin of safety for the period? MOS (u) = Budgeted Sales – BE (u) = 43,333u – 16,667u = 26,667 MOS (%) = [Budgeted Sales – BE (u)] ÷ Budgeted Sales x 100%

= 26,667u ÷ 43,333u x100% = 61.5%

MOS ($) = MOS (u) x SP/u = 26,667u x $0.30/u = $8,000

Question 7 A manufacturing company with a product has the following sales and production results over 3 financial periods:

Period 1 Period 2 Period 3 Sales (‘000 units) 50 60 40 Production (‘000 units) 70 40 60

The selling price per unit has remained at $10, and direct material and direct labour costs per unit at $5. All manufacturing overheads are absorbed into product cost at predetermined rates per unit of output. Any over/ under absorbed balances are transferred to profit and loss in the period in which they arise. Variable manufacturing overhead absorption was predetermined at a rate of $1 per unit in each period. Fixed manufacturing overheads were expected to be $180,000 with normal capacity of 60,000 production units a period. Manufacturing overheads actually incurred were as follows:

Period 1 Period 2 Period 3 Variable ($’000) 68 45 60 Fixed ($’000) 180 180 180

Assume that no further overheads are incurred (i.e. other than manufacturing overheads). a) Calculate the profit (loss) arose in each of the three periods using marginal costing

approach. Period 1

($’000) 2

($’000) 3

($’000) Sales @ $10/u (50/60/40) 500 600 400 COS @ $6/u Opening 0 120 0



Production (70/40/60) 420 240 360 Closing (120) 0 (120) (300) (360) (240) Contribution 200 240 160 Adjustment: Over/(under) 2 (5) 0 202 235 160 FPOH (180) (180) (180) MC Profit/(Loss) 22 55 (20) b) Calculate the expected breakeven point per period

BE (u) = Fixed Costs÷ Contribution/u = $180,000 ÷ $4/u = 45,000u

Question 8 B Ltd is investigating the likely sales prospects for next year. The projection is that 75,000 units will be sold at $10.60 each. The variable costs are $4.20 per unit and the relevant fixed costs are $220,000. Contribution ($10.60-$4.20) $6.40; BE (u) [$220,000 ÷ $6.40/u] = 34,375u; MOS% (75,000u – 34,375) ÷ 75,000 = 54.2%; Profits ($6.40/u x 75,000 - $220,000) = $260,000 Three possible alternatives have been suggested. - The managing director thinks that more could be sold if the price was reduced by 5%.

SP ($10.60x0.95) = $10.07/u; Contribution = $5.87/u; BE (u) [$220,000÷$5.87/u] = 37,479u; MOS% (75,000u-37479u) ÷75,000u = 50.03%; Target (u) = ($220k+$260k) ÷ $5.87/u = 81,772u

- The production manager thanks that the price could be increased by 10% with only a small loss in sales. SP ($10.60x1.1) = $11.66/u; Contribution = $7.46/u; BE (u) [$220,000÷$7.46/u] = 29,491u; MOS% (75,000u-29,491u) ÷75,000u = 60.68%; Target (u) = ($220k+$260k) ÷ $7.64/u = 62,827u

- The sales manager proposes that the variable cost should be increased by 20¢ per unit as commission to sales force, with a consequent saving in fixed costs of $15,000.

VC/u = $4.40/u; Total FC = $205,000; Contribution = $6.20/u; BE (u) [$205,000÷$6.2/u] = 33,065u; MOS% (75,000u-33,065u) ÷75,000u = 55.91%; Target (u) = ($205k+$260k) ÷ $6.2/u = 75,000u

a) Calculate the levels of sales required under the first two proposals to maintain the projected

profit at its original level before the proposals were considered b) To show the breakeven point if sales manager’s proposal was accepted and to compare this

with the breakeven point before the proposals were considered. Question 9 A company would expect to make a profit of $60,600 per period on the sale of 30,000 units of its single product at the current selling price. Costs are as follows:

$ per unit Direct materials 3.90 Direct labour 2.08 Variable overhead 0.50 Fixed overhead 3.50 9.98

Fixed overhead costs per unit are based on output of 30,000 units per period. Total Fixed costs 30,000u x $3.50/u = $105,000 Profit per unit $60,600 ÷ 30,000u = $2.02 Selling Price per unit ($9.98 + $2.02) = $12 Contribution per unit ($2.02 + $3.50) = $5.52



a) Calculate the contribution/sales (C/S) ratio (expressed as a %) and the break-even point (in sales units). C/S ratio = ($5.52 ÷ $12) x 100% = 46% BE ($) = $105,000 ÷ 0.46 = $228,261

b) Calculate the extra units that would need to be sold to maintain profit at $60,600 per period if the selling price is reduced by 10% but the unit variable costs and total fixed costs remain unchanged.

Selling Price per unit $12 x 0.9 = $10.80 Variable cost per unit = $6.48 Contribution per unit = $4.32 Total fixed costs $105,000 Before: Target per sales volume = ($105,000 + $60,600) ÷ $5.52/u = 30,000u After: Target per sales volume = ($105,000 + $60,600) ÷ $4.32/u = 38,333u Extra 8,333units need to be sold to maintain profit $60,600. Question 10 The following details relate to a shop which currently sells 25,000 pairs of shoes annually: Selling price per pair of shoes $40 Purchase cost per pair of shoes $25 Contribution per pair of shoes $15 Total annual fixed costs: Salaries $100,000 Advertising $40,000 Other fixed expenses $100,000 Total Fixed Costs $240,000 a) Calculate the breakeven point and margin of safety in number of pairs of shoes sold. BE (u) = Total Fixed Costs ÷ contribution/u = $240,000 ÷ $15/u = 16,000u MOS (u) = 25,000 – 16,000u = 9,000u b) Assume that 20,000 pairs of shoes were sold in a year. Calculate the shop’s net income (or

loss) Total Contributions 20,000 x $15 $300,000 Total Fixed Costs ($240,000) Net Profit $ 60,000

c) If a selling commission of $2 per pair of shoes sold were introduced, how many pairs of shoes would need to be sold in a year in order to earn a net income of $10,000? Contribution per unit ($15-$2) $13 Target per sales volume = ($240,000+$10,000) ÷ $13/u = 19,231 pairs

d) Assume that for next year an additional advertising campaign costing $20,000 is proposed, whilst at the same time selling prices are to be increased by 12%. What would be the breakeven point in number of pairs of shoes? Selling price per pair ($40 x 1.12) $44.80 Variable cost per pair ($25+$2) ($27.00) Contribution per pair $17.80 Total Fixed cost ($240,000+ $20,000) $260,000



BE (u) = Total Fixed Costs ÷ contribution/u = $260,000 ÷ $17.80/u = 14,607 pairs

Question 11 Despard Ltd manufactures and sells a single product. The following data have been extracted from the current year’s budget: Sales and production (units) 5,000 Variable cost per unit $50 $56 (12%)

Fixed cost per unit $70 Contribution to sales ratio 75% Selling Price per unit ($50/0.25) $200 $216 (8%) Contribution per unit $150 $160 Total Fixed Costs ($70/u x 5,000u) $350,000 $392,000(12%) Total Profit ($80/u x 5,000u) $400,000 The selling price per unit for next year is to be 8% above the current year’s budgeted figure, whereas both the variable cost per unit and the total fixed costs are forecast to increase by 12% above their budgeted level in the current year. The target for next year is that total profit should remain the same as that budgeted for the current year. a) Calculate for the CURRENT YEAR the budgeted:

i. contribution per unit; Selling Price per unit ($50/0.25) $200 Contribution per unit $150

ii. total profit. Total Profit ($80/u x 5,000u) $400,000

b) Calculate the number of units which the company should produce and sell next year in

order to achieve the target level of profit. Target per Sales Volume = ($392,000 + $400,000) ÷ $160/u = 4,950 units

c) Explain, with an example, the term semi-variable (mixed) cost. How would such a cost be dealt with in undertaking the analysis in (a)? Total Profit = Total Fixed Costs + (Variable cost per unit x production units)

CHAPTER 11 DECISION MAKING

Illustration 1 A company, currently operating at full capacity, manufactures and sells saucepans at $2 each. Current volume is 100,000 pans per annum with the following cost structure.

Operating Statement for year $ $ Sales (100,000 at $2) 200,000 Less: Marginal cost Labour ($0.80 per pan) 80,000 Material ($0.50 per pan) 50,000 (130,000) Contribution 70,000 Less: Fixed costs (30,000) Net profit 40,000



An opportunity has arisen to supply 30,000 pans per annum at $1.80. Acceptance of this order would incur extra fixed costs of $8,000 per annum for the hire for additional machinery and the payment of an overtime premium of 20% for the extra direct labour required. Should this order be accepted? Incremental Sales Revenues (30,000 x $1.80) $54,000 Incremental Cost Material (30,000 x $0.50) $15,000 Labour (30,000 x $0.80 x 1.2) $28,800 Fixed Costs $8,000 ($51,800) Incremental Profit ($2,200) The company should accept the order. Illustration 2 A firm makes 150,000 electric thermostats which sell at $12 each. Their last operating statement was:

$ $ Sales 1,800,000 Less: Labour ($4.33) 650,000 Materials ($3.50) 525,000 1,175,000 Contribution 625,000 Less: Fixed Costs 450,000 Profit 175,000

A contract has been offered to sell an additional 50,000 thermostats at $10 each. Acceptance of this contract would increase fixed costs by $50,000, and would mean paying an overtime premium of 20% for the extra labour required. However, because of bulk purchasing a discount of 3% could be obtained for all material purchases. Prepare a Relevant Cost Statement Incremental Sales Revenue (50,000 x $10) $500,000 Saving in purchasing cost (150,000 x $3.50 x 0.03) $15,750 $515,750 Incremental cost Labour (50,000 x $4.33 x $1.2) $260,000 Materials (50,000 x $3.50 x 0.97) $169,750 Fixed costs $50,000 ($479,750) Incremental Profit $36,000 Illustration 3 An unexpected order has been received for a product for which the labour and machine time is available and which requires three types of material A, B and C. Material A This material is used regularly within the firm for various products. The new order will require 1,500kgs. The present stock is 21,000kgs purchased at $2.50 per kg. The current replenishment price is $2.65 per kg. Replacement cost = 1500kg x $2.65/kg $3,975



Material B 1,000kgs of this material are in stock purchased at $0.85 per kg and the new order requires 800kgs. The current replacement price is $0.95 per kg. This material is used on no other product and recent enquiries revealed that the material in stock could be sold at $0.55 per kg. Scrap Value (R) = 800kgs x $0.55/kg $440 Material C 5,000kgs are required for the order and large quantities are purchase at $0.18 per kg. Ordering/Replacement Costs (R) = 5000kg x $0.18/kg $900 What is the relevant cost for decision making purposes of each of the three materials? Illustration 4 AT Ltd is considering accepting a contract of 400 identical components. The data relating to the production of each component is as follows: Material requirements 3kgs material M1 - see note 1 below 1200kgs 2kgs material P2 - see note 2 below 800kgs 1 Part of No. 678 - see note 3 below 400 Part Note 1: Material M1 is in continuous use by the company. 1,000kgs are currently held in stock at a book value of $4.70 per kg but it is known that future purchases will cost $5.50 per kg. Future Purchasing costs (1200kgs x $5.50/kg) $6600 Note 2: 1,200kgs of Material P2 are held in stock. The original cost of this material was $4.30 per kg but as the material has not been required for the last two years it has been written down to $1.50 per kg scrap value. The only foreseeable alternative use is as substitute for material P4 (in current use) but this would involve further processing costs of $1.60 per kg. The current cost of material P4 is $3.60 per kg. (Saving in $2 per kg if we make) vs scrap value $1.50 per kg 800kgs x $2/kg $1,600 Note 3: It is estimated that the Part No.678 could be bought for $50 each. 400 Part x $50 $2,000 What is the relevant cost for decision making purposes of each of the three materials? Illustration 5 SOS has been offered a contract to manufacture 500 units of Component SUS. Labour requirements are: Each component would require five hours of skilled labour. An employee possessing the necessary skills is available and is currently paid $5 per hour. A replacement would, however, have to be obtained at a rate of $6 per hour for the work which would otherwise be done by the skilled employees. 500u x 5hours x $6/hr $15,000

Each component would require five hours of semi-skilled labour. The current rate for semi-skilled work is $3 per hour and an additional employee could be appointed for this work. 500u x 5hours x $3/hr $7500 Determine the relevant labour cost for the contract.



Illustration 6 Grandy Ltd needs to increase production of GRANDIE by 1,800 units to meet the order of a regular customer. In considering its manpower capacity, management found out that additional labour cannot be recruited. Therefore, to produce the additional 1,800 units of GRANDIE, direct labour have to be transferred from production of an existing product which is sold for $90 and which has a budgeted manufacturing cost as follows:

$ Direct material 10 Direct labour (8 hours at $3 per hour) 24 Variable overhead (8 hours at $2 per hour) 16 Fixed overhead (8 hours at $5 per hour) 40

Contribution ($90-$50) $40 Contribution per LF $5/hr Labour hours required (1800u x 4hrs) 7,200hours Contribution lost (7,200 hours x $5/hr) $36,000 Currently, to produce 1 unit of GRANDIE, 4 labour hours are required and the labour is paid at $3 per hour. 1800u x 4hours x $3 $21,600

Determine the incremental labour cost incurred to complete the increased production of GRANDIE. Incremental labour cost $21,600 Contribution lost $36,000 $57,600 Illustration 7 A company has just secured a new contract which requires 500 hours of labour. There are 400 hours of spare labour capacity. The remaining hours could be worked as overtime at time and a half of labour ($12 x 1.5 = $18) could be diverted from the production of product X. Product X currently earns a contribution of $4 in two labour hours (contribution per LF = $2/hr) and direct labour is currently paid at a rate of $12 per normal hour ($12 + $2 = $14). Whichever lower?

What is the relevant cost of labour for the contract? 100 hours x $14 = $1400 Illustration 8 TRANS-CO absorbs overhead by machine hour rate, currently at $20 per hour of which $7 is for variable overhead and $13 for fixed overhead. If a special contract is undertaken it is estimated that fixed costs will increase for the duration of the contract by $3,200. To complete the special contract, 200 machine hours are required. Calculate the incremental overheads to be incurred. Variable cost (200mhrs x $7/hr) $1400 FC $3200 $4600 Illustration 9 A research project undertaken on behalf of a client has already incurred costs of $200,000. It is estimated that the project will be completed in one year’s time.



Overheads: Plant and equipment costing $80,000 was bought at the commencement of the project, and a second year’s depreciation charge of $40,000 is estimated. The plant and equipment is highly specialised and has no other use. Estimated scrap values: Now $10,000 In one year $4,000 Calculate the relevant overheads incurred if the project is completed one year from now. Stop NOW $10,000 Continue $4,000 Reduction in scrap value $6,000

MAKE-OR BUY DECISIONS

Illustration 10 A product is made on a special milling machine. It uses 20 minutes of machine time. The product has a selling price of $12 and a total marginal cost of $8. Contribution $4; Contribution/LF $0.2/min The milling machine can also be used to make a component (used elsewhere in the firm) taking 30 minutes with a total marginal cost of $7. The component could be bought in at a price of $12. Contribution $5; Contribution/LF $0.167/min

Currently the capacity of the milling machine is insufficient to meet all production requirements in the factory. Should the component be made or purchased? Made The decision has to be made when the company has 2 options to complete a product ~ produce (make) or purchase (buy). From the cost point of view, company will choose the option that minimises the costs. Therefore, the relevant production costs and purchase costs will be considered. Illustration 11 The management of Summer plc is considering next year’s production and purchase budgets. One of the components produced by the company, which is incorporated into another product before being sold, has a budgeted manufacturing cost as follows:

$/u Direct material 14 Direct labour (4 hours at $3 per hour) 12 Variable overhead (4 hours at $2 per hour) 8 Fixed overhead (4 hours at $5 per hour) 20 54

Variable Production cost ($14+$12+$8) $34 Turnip plc has offered to supply the above component at a guaranteed price of $50 per unit. a) Considering cost criteria only, advise management whether the above component should

be purchased from Turnip plc. Saving if made $16 b) Explain how your above advice would be affected by each of the two SEPARATE situations

shown below. All calculations must be shown. i. As a result of recent government legislation if Summer plc continues to manufacture

this component the company will incur additional inspection and testing expenses of $56,000 per annum, which are not included in the above budgeted manufacturing costs



ii. Additional labour cannot be recruited and if the above component is not manufactured by Summer plc, the direct labour released will be employed in increasing the production of an existing product which is sold for $90 and which has a budgeted manufacturing cost as follows: contribution per LF $40/8hr = $5/hr

$ Direct material 10 Direct labour (8 hours at $3 per hour) 24 Variable overhead (8 hours at $2 per hour) 16 Fixed overhead (8 hours at $5 per hour) 40

Variable Production $34 + Opp. Cost (4hrs x $5) $20 = $53 ~ Buying costs $50 Cheaper to buy Illustration 12 A company, which manufactures four components (A, B, C and D) using the same machinery, aims to maximise profit. The following information is available:

Component A B C D Variable production cost per unit ($) 60 64 70 68 Purchase cost per unit from an outside supplier ($) 100 120 130 110 Saving if made 40 56 60 42 Machine hours per unit to manufacture 4 7 5 6 Saving per Mhrs 10 8 12 7 Priority to buy 3 2 4 1

As it has insufficient machine hours available to manufacture all the components required, the company will need to buy some units of one component from the outside supplier. Which component should be purchased from the outside supplier? Illustration 13 CURVE Ltd has been asked to quote a price for a one-off contract. The company’s management accountant has asked for your advice on the relevant costs for the contract. The following information is available: Materials The contract requires 3,000 kg of material K, which is a material used regularly by the company in other production. The company has 2,000 kg of material K currently in stock which had been purchased last month for a total cost of $19,600 ($9.80/kg). Since then the price per kilogram for material K has increased by 5%. 3000kg x $9.80/kg x 1.05= $30,870

The contract also requires 200 kg of material L. There are 250 kg of material L in stock which are not required for normal production. This material originally cost a total of $3,125. If not used on this contract, the stock of material L would be sold for $11 per kg. Scrap value 200kg x $11 = $2,200

Labour The contract requires 800 hours of skilled labour. Skilled labour is paid $9.50 per hour. There is a shortage of skilled labour and all the available skilled labour is fully employed in the company in the manufacture of product P. The following information relates to product P:

$ per unit $ per unit Selling price 100 Less Skilled labour (4hours) 38 Other variable costs 22 (60)



40 Contribution per hours ($40/4hr) $10/hrs Labour cost (800hrs x $9.50/hr) $7,600 Opp. cost (800 hours x $10/hr) $8,000 $15,600

a) Prepare calculations showing the total relevant costs for making a decision about the contract in respect of the following cost elements:

i. Materials K and L; and ii. skilled labour

Illustration 14 Mike Limited has been asked to quote a price for a one off contract. Management have drawn up the following schedule:

$ Contract price (cost plus 20%) 60,780 Costs: Materials: V (300 kg at $10/kg) 3,000 Materials: I (1,000 litres at $7/litre) 7,000 Materials: C (550 kg at $3/kg) 1,650 Labour: Department 1 (1,500 hours at $8/hour) 12,000 Labour: Department 2 (2,000 hours at $10/hour) 20,000 Overheads: absorbed on a budgeted labour hour basis (3,500 hours at $2/labour hour) 7,000 Total costs 50,650 The following is also relevant:

Material V The cost of $10 is the original purchase cost incurred some years ago. This material is no longer in use by the company and if not used in the contract then it would be sold for scrap at $3/kg. 300kg x $3/kg = $900

Material I This is in continuous use by the business. $7 is the historic cost of the material although current supplies are being purchased at $6.50. 1,000l x $6.50/l = $6,500

Material C Mike Limited has 300 kg of this material in stock and new supplies would cost $4/kg. If current stocks are not used for the contract then they would be used as a substitute for material Y in another production process costing $7/kg. 2 kg of C replaces 1 kg of Y. material saved for Y = 300 x $7/2 = $1050 + Purchase (250 x $4) $1000=$2050

Department 1 This department has spare labour capacity sufficient for the contract and labour would be retained.

Department 2 This department is currently working at full capacity. Mike Limited could get the men to work overtime to complete the contract paid at time and a half, or they could divert labour hours from the production of other units that currently average $3 contribution per labour hour. 2,000hours x $13 = $26,000

Overheads These are arbitrarily absorbed at a pre-determined rate. There will be no incremental costs incurred.

Calculate the minimum contract price that Mike Limited could accept to breakeven using relevant costing techniques. Illustration 15 CES specialises in providing contract services to the electricity supply industry. Powerco plc has asked CES to submit a tender to overhaul one of the four steam turbines in its Derwent power station. The work is scheduled to take place in three months’ time, when the demand for electricity will be low.



The CES contracts manager has supplied the following estimates. Labour Task Skill level required Number of

workers Number of days

(i) Strip down and rebuild fitter $100 6 8 (ii) Overhaul turbine fitter 4 19 engineer $210 5 19 (iii) Test and commission engineer 2 4 Each fitter costs $100 per day and the engineers $210 per day. Each of the three tasks has to be completed before the next task can commence. Materials Total material requirement has been estimated at a stores issue price of $57,800. In pricing for tenders, CES apply a mark-up to the stores’ issue price of plus 20%. Travel and hotel accommodation Expenses of $30 per day per worker will be paid to all workers. Overheads and profit It is the company’s policy to include an amount of $120 per worker per day, to cover the company’s overheads. Profit is provided by adding a margin of plus 30% to total cost. Additional information At the time of the contract, CES will only have three fitters available. The remaining fitters will have to be hired from an employment agency at a rate of $150/ day, plus travelling expenses at the rate of $30/ day. Two of the engineers required for the overhaul stage, are on secondment to another contractor at a rate of $400 per day. They can be recalled from this contract, subject to written notice. Included in the cost of materials is $19,000 which relates to bearing sets bought three years ago for a similar job which was cancelled. It is the contract manager’s view that these components are unlikely to be used elsewhere, as almost all other power stations now use an upgraded bearing specification. All other materials are in constant usage and no price changes are envisaged in the near future. Prepare a tender for submission to Powerco plc on EACH of the following assumptions:

i. that there are no constraints on worker availability and the contract can therefore be based on CES’s normal pricing policy

ii. that CES is keen to start dealing with Powerco plc and the managing director is prepared to submit a tender based on the lowest relevant cost to CES, after the circumstances mentioned in note 5 above have been taken into consideration.

CLOSURE OF BUSINESS SEGMENT

Illustration 16 Camden has three divisions. Information for the year ended 30 September is as follows:

Division A Division B Division C Total



$’000 $’000 $’000 $’000 Sales 350 420 150 920.0 Variable costs 280 210 120 610.0 Contribution 70 210 30 310.0 Fixed costs 262.5 Net profit 47.5

Fixed Cost $262.5 x 60% = $157.5 ÷ 3 = $52.5 General fixed overheads are allocated to each division on the basis of sales revenue; 60% of the total fixed costs incurred by the company are specific to each division being split equally between them. Using relevant costing techniques, which divisions should remain open if Camden wishes to maximise profits?

Division A Division B Division C $’000 $’000 $’000 Sales 350 420 150 Variable costs 280 210 120 Contribution 70 210 30 Fixed costs 52.5 52.5 52.5 Profit 22.5 157.5 (22.5) Continue Continue Close

Illustration 17 A company has three branches (X, Y and Z) to which the following budgeted information relates:

Branch X Branch Y Branch Z Total Revised Profit $000 $000 $000 $000 Sales 200 200 200 600 400 Contribution 60 50 20 130 110 Less: Fixed costs (35) (35) (30) (100) (100) Profit/(loss) 25 15 (10) 30 10

60% of the total fixed costs are general irrelevant overheads. General overheads are apportioned to the branches on the basis of sales value. The other fixed overheads are (40%) specific relevant to each branch and are avoidable if a branch is closed. If branch Z is closed down and the sales of the other two branches remained the same, what would be the revised budgeted profit for the company?

Branch X Branch Y Branch Z $000 $000 $000 Sales 200 200 200 Contribution 60 50 20 Less: Fixed costs (14) (14) (12) Profit/(loss) 46 36 8 continue Continue Continue

Actually three branches should be continue. Illustration 18 A company manufactures and sells two products (X and Y) both of which utilise the same skilled labour. For the coming period, the supply of skilled labour is limited to 2,000 hours. Data relating to each product are as follows:

Product X Y Selling price per unit $20 $40 Variable cost per unit $12 $30 Contribution per unit $8 $10 Skilled labour hours per unit 2 4 Contribution per labour hour $4/hr $2.5/hr Maximum demand (units) per period 800 400



Priority to manufacture 1 2 Allocate the labour hours available 1,600 hours 400 hours Units can be produced 800 units 100 units

In order to maximise profit in the coming period, how many units of each product should the company manufacture and sell? Illustration 19 A company produces three products which have the following details: Product I II III Per unit Per unit Per unit Direct materials (at $5/kg) 8 kg 5 kg 6 kg Contribution per unit $35 $25 $48 Contribution per kg of material $4.375 $5 $8 Demand (excluding special contract) (units) 3,000 5,000 2,000

The company must produce 1,000 units of Product I for a special contract before meeting normal demand. Unfortunately there is only 35,000 kg of material available. What is the optimal production plan? Step 1 Checking Product Kg/u Demand Kgs

1 8 3,000 24,000 2 5 5,000 25,000 3 6 2,000 12,000

Total mat. Required 61,000 Total mat. Available (35,000)

Shortage 26,000 Step 2 Contribution per Limiting Factors Product 1 2 3 Contribution per kg $4.375 $5 $8 Priority to make 3 2 1 Step 3: Allocate the materials Total mat. Available 35,000 Product 1 (8kg/u x 1,000) (8,000) 2 (5kg/u x 3,000) (15,000) 3 (6kg/u x 2,000) (12,000) Step 4: Production Plan Product 1 2 3 Total Units Produced 1,000 3,000 2,000 Contribution per unit $35 $25 $48 Total contribution 35,000 75,000 96,000 206,000 Illustration 20 A company uses limiting factor analysis to calculate an optimal production plan given a scarce resource. The following applies to the three products of the company:

Product I II III $ $ $ Direct materials (at $6/kg) 36 6kgs 24 4kgs 15 2.5kgs

Direct labour (at $10/hour) 40 25 10 Variable overheads ($2/hour) 8 5 2 84 54 27



Maximum demand (units) 2,000 4,000 4,000 Optimal production plan 2,000 1,500 4,000

How many kg of material were available for use in production? 2,000u x 6kg + 1,500u x 4kgs + 4,000u x 2.5kgs = 28,000kgs QUESTIONS:

1. The following statements relate to relevant cost concepts in decision making: (i) Materials can never have an opportunity cost whereas labour can. (ii) The annual depreciation charge is not a relevant cost. (iii) Fixed costs would have a relevant cost element if a decision causes a change in their

total expenditure Which statements are correct? A (i) and (ii) only B (i) and (iii) only C (ii) and (iii) only D (i), (ii) and (iii)

2. A company is evaluating a project that requires 4,000 kg of a material that is used regularly

in normal production.

2,500 kg of the material, purchased last month at a total cost of $20,000 (at $8/kg), are in stock.

Since last month the price of the material has increased by 2½%.

What is the total relevant cost of the material for the project? 4,000kgs x $8 x 1.025

A $12,300 C $32,300 B $20,500 D $32,800

3. A company manufactures two products (L and M) using the same material and labour. It holds no stocks. Information about the variable costs and maximum demands are as follows:

Product L Product M $/unit $/unit Material ($4 per litre) 13 (3.25kg) 19 (4.75kg) Total material required 57,500 19,500 38,000 Labour ($7 per hour) 35 (5kg) 28 (4kg) Total labour hours required 62,000 30,000 32,000 Units Units Maximum monthly demand 6,000 8,000

Each month 50,000 litres of material and 60,000 labour hours are available.

Which one of the following statements is correct?

A Material is a limiting factor but labour is not a limiting factor. B Material is not a limiting factor but labour is a limiting factor. C Neither material nor labour is a limiting factor. D Both material and labour are limiting factors.

4. A company manufactures and sells a single product. The variable cost of the product is $2.50 per unit and all production each month is sold at a price of $3.70 per unit. A potential new customer has offered to buy 6,000 units per month at a price of $2.95 per unit. The



company has sufficient spare capacity to produce this quantity. If the new business is accepted, sales to existing customers are expected to fall by two units for every 15 units sold to the new customer. What would be the overall increase in monthly profit which would result from accepting the new business? Contribution earned ($2.95-$2.50) 6,000 $2700 Contribution lost ($3.70-$2.50) 6,000/15u x 2 ($960) $1740

5. A company manufactures four components (L, M, N and P) using the same general purpose

machinery. Weekly demand is 1,500 units of each component but only 24,000 machine hours are available each week. A decision has to be made on which component to buy in from an outside supplier. The following data are available: L M N P Variable production cost ($ per unit) 45 40 30 20 General purpose machinery hours per unit 1 3 5 4 6 Purchase price from outside supplier ($ per unit) 57 55 54 50

In order to minimise total cost, which component should be purchased from the outside supplier each week?

L M N P Variable production cost ($ per unit) 45 40 30 20 Purchase price from outside supplier ($ per unit) 57 55 54 50 Saving if we make 12 15 24 30 Machine hours 3 5 4 6 Saving per Mhr 4 3 6 5 Priority to Make 3 4 1 2 Priority to buy 2 1 4 3

6. A company is evaluating a project that requires two types of material (T and V).

Data relating to the material requirements are as follows: Material

type Quantity

needed for project

Quantity currently in

stock

Original cost of quantity in stock

Current purchase

price

Current resale price

Kg Kg $/kg $/kg $/kg T 500 100 40 45 44 V 400 200 55 52 40

Material T is regularly used by the company in normal production. Material V is no longer in use by the company and has no alternative use within the business. What is the total relevant cost of materials for the project?

A $40,400 C $43,400 B $40,900 D $43,900

Material T 500kgs x $45 Material V 200kgs x $55 + 200kgs x $52 7. A machine owned by a company has been idle for some months but could now be used on

a one year contract which is under consideration. The net book value of the machine is $1,000. If not used on this contract, the machine could be sold now for a net amount of $1,200. After use on the contract, the machine would have no saleable value and the cost of disposing of it in one year’s time would be $800. What is the total relevant cost of the machine to the contract? $1200 - $800

A $400 C $1,200 B $800 D $2,000



8. All of a company’s skilled labour, which is paid $8 per hour, is fully employed manufacturing a product to which the following data refer:

$ per unit $per unit Selling price 60 Less Variable costs: Skilled labour @2.5hrs 20 Others 15 (35) Contribution 25

The company is evaluating a contract which requires 90 skilled labour hours to complete. No other supplies of skilled labour are available. Contribution per hour = $25/2.5 = $10/hr

What is the total relevant skilled labour cost of the contract? A $720 B $900 C $1,620 D $2,160

90hrs x $8 + $10 x 90hrs = $1620 9. A company requires 600 kg of raw material Z for a contract it is evaluating. It has 400 kg of

material Z in stock which were purchased last month. Since then the purchase price of material Z has risen by 8% to $27 per kg. Raw material Z is used regularly by the company in normal production. 600kgs x $27 = $16,200 What is the total relevant cost of raw material Z to the contract? A $15,336 B $15,400 C $16,200 D $17,496

10. Which of the following statements is not a true statement?

A Unit-cost data can potentially mislead decision makers when irrelevant costs are included.

B Unit-cost data can potentially mislead decision makers when the same unit costs are used at different output levels.

C All fixed costs are irrelevant. D Variable costs may be relevant or irrelevant.

11. Opportunity cost is the

A cash outlay required to do something. B difference in total costs between the alternatives. C maximum available contribution to profit that is given up when using limited resources

for another purpose. D fixed cost avoided when a product, department, or business unit is abandoned.

12. Incremental costs are the same as

A differential costs B alternative costs C marginal costs D outlay costs

13. Hamilton Company is faced with a make-or-buy decision. Hamilton should agree to buy the

part from a supplier provided the price is less than Hamilton’s



A total costs B variable production costs plus avoidable fixed production costs C total manufacturing costs D variable costs

14. A company manufactures and sells four products. Sales demand cannot be met owing to a

shortage of skilled labour. Details of the four products are: Product A Product B Product C Product D Sales demand (units) 1,500 2,000 1,800 1,900 Contribution ($/unit) 2.80 2.60 1.90 2.40 Contribution/ sales (%) 30 40 50 45 Skilled labour (hours/unit) 1.4 1.2 0.9 1.0 In what order should the products be made in order to maximise profit? A Product A, Product B, Product D, Product C B Product B, Product D, Product C, Product A C Product C, Product D, Product B, Product A D Product D, Product B, Product C, Product A

Product A Product B Product C Product D Contribution per unit $2.80 $2.60 $1.90 $2.40 Skilled labour hours* 1.4 1.2 0.9 1.0 Contribution/skilled labour hour $2.00 $2.17 $2.11 $2.40 Priority 4th 2nd 3rd 1st (*skilled labour hours = limiting factor) 15. Steeple Chairs Ltd manufactures a range of components and products. Budgeted data for

three of these are shown below: Product PQ ($) Product RS ($) Component Z ($) Variable cost 15 32 21 Fixed overhead 8 9 10 23 41 31

Production requirement - - 7,000 units Machine hours per unit 3 6 4 Sales budget 5,000 units 4,000 units - Sales price per unit $24 $44

All three items are made on the same of machine, for which production capacity is 40,000 hours for the budget period. Components Z can be purchased from an external supplier for $30 per unit. The 7,000 units of Z must be either produced or purchased externally. What is the profit maximising production budget?

Product PQ Product RS Component Z A None 2,000 units 7,000 units B None 4,000 units 4,000 units C 5,000 units 4,000 units 250 units D 5,000 units None 6,250 units

16. A company manufactures and sells four types of component. The labour hours available for

manufacture are restricted but any quantities of the components can be bought-in from an outside supplier in order to satisfy sales demand. The following further information is provided:

Component A B C D



per unit per unit per unit per unit Selling price ($) 12.00 15.00 18.00 20.00 Variable manufacturing costs ($) 6.00 8.00 9.00 11.50 Bought-in price ($) 11.00 11.50 13.00 16.00 Labour (hours) 0.8 0.8 0.8 0.8 Which is the best component to BUY-IN in order to maximise profit? A Component A B Component B

C Component C D Component D

A B C D Variable manufacturing cost ($) 6.00 8.00 9.00 11.50 Bought-in price ($) 11.00 11.50 13.00 16.00 Difference 5.00 3.50 4.00 4.50 Component B has the minimum extra cost of buying in. Note that, as all components use the same amount of labour, it is unnecessary to calculate the contribution per unit of limiting factor. 17. A company manufactures and sells four products. Details are as follows:

Product P Q R S $ $ $ $

Contribution per unit 16.0 14.5 17.6 19.0 Net profit per unit 4.6 4.8 5.2 5.0 Contribution per machine hour 5.0 4.8 4.4 3.8 Net profit per machine hour 1.4 1.6 1.3 1.0 Machine hours available in the next period will not be sufficient to meet production requirements. There are no product-specific fixed costs. What should be the order of priority for production in order to maximise profit? A Product P, Product Q, Product R, Product S B Product Q, Product P, Product R, Product S C Product R, Product S, Product Q, Product P D Product S, Product R, Product P, Product Q

Question 1 Wakehurst Wakehurst is about to tender for a one off contract. Requirements for this contract have been established:

$ Labour: Skilled workers (100 hours at $9/hour) 900 Semi skilled workers (200 hours at $5/hour) 1,000 Management (20 hours at $20/hour) 400 Materials: N (100 litres at $4.50/litre) 450 T (300kg at $7/kg) 2,100 4,850

The skilled workers will be diverted from production of product P with resulting loss of sales. Each unit of P generates a contribution of $7 and takes two skilled labour hours to make contribution lost (100hrs/2hrs x $7= $350). Semi skilled workers will be hired as required incremental cost (200hrs x $5/hr =

$1,000). The management cost represents an allocated amount for hours expected to be spent (non incremental). At the moment the management team has spare capacity.



Current stocks of material N are 200 litres and it is in continuous use by the business. It cost $4.50/litre originally but new supplies now cost $4.00/litre (replacement cost = 100 x $4 = $400) due to improved negotiating by the purchasing department. It could be sold as scrap for $2/litre. The current stocks of material T are 200kg did cost $7/kg some years ago but has not been used by the business for some time. If not used for the contract it would be scrapped for $4/kg (scrap

value = 200kg x $4/kg = $800). The current purchase price is $8/kg. i. What is the relevant cost of labour?

Skilled labour: wages (100 x 9) 900 Contribution lost (100 x 3.5) 350 Semi skilled labour: incremental (200 x 5) 1000 2250

ii. What is the relevant cost of materials?

Material N: replacement (100 x 4) 400 Material T: scrap value lost (200 x 4) 800 Purchase cost (100 x 8) 800 2000

Question 2 XYZ Ltd XYZ Ltd makes a product for sale to the retail trade. In the last period, production problems have resulted in a batch of 4,000 units being defective. The company is considering what to do with these rejects. It will cost $3.00 per unit to correct the defects. Alternatively the goods could be sold in their present condition for $2.50 per unit. The normal selling price is $7.00 per unit. The following cost data is available.

$ Direct materials 2.13 Direct labour 1.50 Variable overhead 0.50 Total VC 4.13 Fixed overhead 2.53 Total cost 6.66 Profit 0.34 Selling price 7.00

a) Recommend what action XYZ Ltd should take with the 4,000 defective units.

If corrected: Incremental cost: 3.00 If not corrected: Incremental cost (revenue lost): 4.50 (原本可以卖的$7, 现在卖$2.50, 少赚$4.50) No need to consider production cost = past/ sunk cost ∴ should correct : incremental gains = 1.50 per unit

b) If by reworking the defective units, another batch of 4,000 units would have to be foregone, state how your advice to XYZ Ltd might change. If corrected: Incremental gain from correction: 1.50 x 4000 6,000 Incremental cost (another 4000u): 2.87 x 4000 11,480 (contribution lost) Net loss 5,480 ∴ Should not correct

Question 3 Harlem Ltd



Harlem Ltd manufactures a single product. The following figures have been forecast for the year to 30 June 20X5:

Output and sales 40,000 units $ per unit Selling price 100 Direct materials 20 Direct labour 40 Variable overhead 10

Contribution per unit $30 The company is currently working at 80% of capacity. Fixed overheads have been budgeted at $18 per unit, based on maximum capacity available at present. (full capacity = 40,000/0.8 = 50,000) Total FOH = 18 x 50,000 = $900,000 The company has received an enquiry, from a new customer, for 20,000 units at a price of $92 per unit, to be fulfilled during the year to 30 June 20X5. It is not certain if this order would be repeated. Comment critically on whether the company should accept the order and supply this new customer. Incremental revenues (20,000u x $92) 1,840 Incremental cost (20,000u x $70) (1,400) Contribution lost ($30 x 10,000u) (300) Incremental Profit 140 The company should accept the order. However, we should consider the availability of working capacity at present. If Limiting factor exists, then we need to calculate the contribution per LF. = exist Question 4 Two decision making problems are faced by a company which produces a range of products and absorbs production overhead using a rate of 200% of direct wages. This rate was calculated from the following budgeted figures:

$ Variable production costs 64,000 Fixed production costs 96,000 Direct labour costs 80,000

Problem 1 The normal selling price of Product X is $22 and production cost for one unit is:

$ Raw materials 8 Direct labour 4 Production overhead 8 20

There is possibility of supplying a special order for 2,000 units of Product X at $16 each. If the order were accepted the normal budgeted sales would not be affected by the company has the necessary capacity to produce the additional units. Problem 2 The cost of making component Q, which forms part of Product Y, is stated below:

$ Raw materials 4 Direct labour 8 Production overhead 16



28 Component Q could be bought from an outside supplier for $20. You are required, assuming that fixed production costs will not change, to: State whether the company should:

a) Accept the special order in Problem 1. b) Continue making component Q or buy it from outside in Problem 2.

Both your statements must be supported by details of costs. Question 5 PDR plc PDR plc manufactures four products using the same machinery. The following details relate to its products.

Product A Product B Product C Product D $ per unit $ per unit $ per unit $ per unit Selling price 28 30 45 42 Direct material 5 6 8 6 Direct labour 4 4 8 8 Variable overhead 3 3 6 6 Fixed overhead * 8 8 16 16 Profit 8 9 7 6 Labour hours 1 1 2 2 Machine hours 4 3 4 5 Units Units Units Units Maximum demand per week 200 180 250 100

* Absorbed based on budgeted labour hours of 1,000 per week. There is a maximum of 2,000 machine hours available per week. Determine the production plan which will maximise the weekly profit of PDR plc and prepare a profit statement showing the profit your plan will yield. Question 6 Cassie Ltd Cassie Ltd manufactures three types of clocks. The information below relates to its budget for the next financial year ending 31 December X2:

Type 1 Type 2 Type 3 Sales (units) 1,900 2,375 2,850 $ $ $ Selling price per unit 15 22 26 Direct materials per unit 3 5 6 Direct labour per unit 4 6 7 Variable factory overhead per unit 6 8 8

Fixed costs for Year X2 are expected to be $5,000. Direct materials for the year ending 31 December 20X1, will be limited to $24,000.



Calculate how many units of each type of clock must be manufactured to maximise profit and calculate that profit. Question 7 Pitt plc Pitt plc manufactures a variety of products for the security industry. Due to significant increased demand for its products, the company must make a decision about buying in some components from an outside supplier. The following information relates to three components:

Component P Q R Budgeted production (units) 2,000 2,000 2,000 Machine hours (per unit) 1.00 1.50 1.50 Direct materials ($ per unit) 2.00 3.00 4.00 Direct labour hours (per unit) 1.00 2.00 2.00

Direct labour is budgeted at $8 per hour. Variable overheads are budgeted at $2 per direct labour hour. Machine hours are limited to 4,000 hours during this budget period for these three components. An outside supplier has quoted $24, $38 and $45 per unit respectively for Components P, Q and R. Advise the company on which components and how many they should buy in order to achieve the budgeted output at minimum cost. Support your advice with calculations.

CHAPTER 12 DISCOUNTED CASH FLOW AND CAPITAL EXPENDITURE APPRAISAL

Illustration 1 An expenditure of $3 million is expected to generate cash inflows of $800,000 each year for the next seven years. What is the payback period for the project? If Constant Annual Cash flows, then the payback period is calculated simply as: Payback Period = Initial payment ÷ Annual cash inflow = $3,000,000 ÷ $800,000 = 3.75 years or 3 years 9 months

Year Cash Flow $’000

Cumulative Cash $’000

0 (3,000) (3,000) 1 800 (2,200) 2 800 (1,400) 3 800 (600) 4 800 200 5 800 1,000



6 800 1,800 7 800 2,600

Illustration 2 A project will involve spending $2.8 million now. Annual cash flows from the project would be $500,000. What is the expected payback period? Payback Period = Initial payment ÷ Annual cash inflow = $2,800,000 ÷ $500,000 = 5.6 years or 5 years 7.2 months Illustration 3 An investment would cost $2.3 million and annual cash inflows from the project are expected to be $600,000. Required: Calculate the expected payback period in years and months. Payback Period = Initial payment ÷ Annual cash inflow = $2,300,000 ÷ $600,000 = 3.833 years or 3 years 10 months Illustration 4 A project is expected to have the following cash flows.

Year Cash Flow ($’000)

Cumulative cash flow ($’000)

0 (2,000) (2,000)

1 500 (1,500)

2 600 (900)

3 300 (600)

4 400 (200)

5 600 400

6 500 900

What is the expected payback period? Payback is between the end of Year 4 and the end of the Year 5 – in other words during Year 5. If we assume a constant rate of cash flow through the year, we could estimate that payback will be 4 years, plus (200/600) of Year 5. We could therefore estimate that payback would be after 4.333 years or 4 years 4 months. Illustration 5 A project has the following cash flows.



0 (1,900) (1,900)

1 300 (1,600)

2 500 (1,100)

3 600 (500)

4 800 300

5 500 800

What is the expected payback period? Payback is between the end of Year 3 and the end of the Year 4 – in other words during Year 4. If we assume a constant rate of cash flow through the year, we could estimate that payback will be 3 years, plus (500/800) of Year 4. We could therefore estimate that payback would be after 3.625 years or 3 years 8 months.



Illustration 6 Calculate the payback period in years and months for the following project.



0 (3,100) (3,100)

1 1,000 (2,100)

2 900 (1,200)

3 800 (400)

4 600 200

5 500 700

Payback is between the end of Year 3 and the end of the Year 4 – in other words during Year 4. If we assume a constant rate of cash flow through the year, we could estimate that payback will be 3 years, plus (400/600) of Year 4. We could therefore estimate that payback would be after 3.667 years or 3 years 8 months.

Illustration 7 A man invests $150 on 1 January each year. On 31 December simple interest is credited at 11% but this interest is put in a separate account and does not itself earn any interest. Find the total amount standing to his credit on 31 December following his fifth payment of $150.

Year (1 Jan) Investment ($) Interest (31 December) 1 150 0.11 x 160 = 17.60 2 150 +150 = 300 0.11 x 300 = 33.00 3 150 + 300 = 450 0.11 x 450 = 49.50 4 150 + 450 = 600 0.11 x 600 = 66.00 5 150 + 600 = 750 0.11 x 750 = 82.50

Total 248.80 Total investment amount at 31 December, Year 5:- $__998.60__ = $750 + $248.80 (principal + simple interest) Interest (I) = (PRT)/100 Illustration 8 Sujata decided to invest $8,500 in an investment account paying an interest rate of 2% per annum. The interest is paid out as it is earned. What is the amount of interest to be received at the end of each year? The usual notation is: I = PRT = ($8,500 x 0.02) = $170 100 P = Principal R = Interest rate % pa T = Time in years I = Interest in $ If Sujata invest for 5 years, how much will be received at the end of the life of the investment? I = PRT = ($8,500 x 0.02 x 5 years) = $850 100 Total investment amount at 31 December, Year 5: $9,350 = $8,500 + $850 (principal + simple interest) Illustration 9 Determine the total sum at the end of the investment period



Principal sum

Interest rate Investment period Annual interest ($’000)

Total sum receivable ($’000)

$120,000 8% per annum 2 years $120 x 0.08 x 2yrs = $19.20 $120 + $19.20 = 139.20 $120,000 9% per annum 2 years $120 x 0.09 x 2yrs = $21.60 $120 + $21.60 = $141.60 $120,000 10% per annum 2 years $120 x 0.1 x 2yrs = $24.00 $120 + $24 = $144.00 $120,000 10% per annum 2 years 5 months $120 x 0.1 x 5/12 + $24 = $29 $120 + $29 = $149.00 $120,000 10% per annum 2 years 9 months $120 x 0.1 x 9/12 + $24 = $33 $120 + $33 = $153.00

COMPOUND INTEREST With compound interest, the interest earned is added to the principal before interest is calculated for the next year. Interest earned:

I = P x r x n

I : Interest P : Principal r : Rate of interest (usually per annum) n : Number of periods (usually in years)

Illustration 10 $2,000 is invested for four years and interest of 8% is earned each year. What is the value of the investment at the end of Year 5? Year Opening Investment ($) Interest ($) Closing investment ($) 1 2,000 2,000 x 8% = 160 2,160.00 2 2,160 2,160 x 8% = 172.80 2,332.80 3 2,332.80 2,332.80 x 8% = 186.62 2,519.42 4 2,519.42 2,519.42 x 8% = 201.55 2720.97 5 2720.97 2,720.97 x 8% = 217.68 2,938.65

OR S = P x (1 + r) n Year 1 = 2,000 x (1 + 0.08) 1 = $2,160.00 Year 2 = 2,000 x (1 + 0.08) 2 = $2,332.80 Year 3 = 2,000 x (1 + 0.08) 3 = $2,519.42 Year 4 = 2,000 x (1 + 0.08) 4 = $2720.97 Year 5 = 2,000 x (1 + 0.08) 5 = $2,938.65 Illustration 11 Principle : $10,000 Interest rate : 10% per annum Investment Period : 5 years Calculate sum received at the end of each year.

Year Opening Investment ($) Interest ($) Closing investment ($) 1 10,000 10,000 x 10% = 1,000 11,000 2 11,000 11,000 x 10% = 1,100 12,100 3 12,100 12,100 x 10% = 1,210 13,310 4 13,310 13,310 x 10% = 1,331 14,641 5 14,641 14,641 x 10% = 1,464.1 16,105.1

OR



S = P x (1 + r) n Year 1 = 10,000 x (1 + 0.1) 1 = $11,000 Year 2 = 10,000 x (1 + 0.1) 2 = $12,100 Year 3 = 10,000 x (1 + 0.1) 3 = $13,310 Year 4 = 10,000 x (1 + 0.1) 4 = $14,641 Year 5 = 10,000 x (1 + 0.1) 5 = $16,105.1 Annual Percentage Rate (Effective Interest Rate):

APR = (1 + r ) n – 1 n APR : Annual Percentage Rate (Effective Interest Rate) r : Interest rate per annum n : Frequency of the interest compounded within a year. Illustration 12

Interest compounding Principal NR (%) Annual Interest APR (%) Yearly basis 10,000 10% 10,000 x 10.% = 1,000 10% Quarterly basis 10,000 10% 10,000 x 10.4% = 1,040 (1+0.025) - 1 = 10.4% Monthly basis 10,000 10% 10,000 x 10.47% = 1,047 (1+0.0083)12 - 1 = 10.47% Weekly basis 10,000 10% 10,000 x 10.51% = 1,051 (1+0.0019)52 - 1 = 10.51% Daily basis 10,000 10% 10,000 x 10.52% = 1,052 (1+0.0027)365 - 1 = 10.52%

Illustration 13 a) It is estimated that a particular cost will increase by 5% per annum on a compound basis. If

the cost now is $10,000, by the end of Year 4, the cost will be: C o m p o u n d i n g

Conversion of data from present to future Determine future value from a known present value

FV = PV x (1 + r) n

FV : Future Value PV : Present Value FV = $10,000 x (1 + 0.05) = $12,155 b) A house was valued at $90,000 at the end of Year 1. The price has been rising at 21% per

annum. What was the value of the house at the start of the year? D i s c o u n t i n g

Conversion of data from future to present Determine present value from a known future value

PV = FV (1 + r) n

FV : Future Value PV : Present Value PV = $9,000 ÷ (1 + 0.21)1

= $7480 Annuities A regular payment or receipt of the same (constant) amount for all the years.

PV of annuity = Annuity x Annuity factor

Illustration 14 An investment will generate revenue of $10,000 each year for 3 years with the first receipt at the start of year 1. Calculate the present value for the 3 years annuity based on a discount rate of 10%.



Approach 1: Year Cash flow Discount factor Present value 1 $10,000 1/(1.10) $9,091 2 $10,000 1/(1.10)² $8,264 3 $10,000 1/(1.10)³ $7,513 $24,868 Approach 2: Year Cash flow Annuity factor Present value 1 – 3 $10,000 1/(1.10) + 1/(1.10)² + 1/(1.10)³ = 2.48685 $24,868 Illustration 15 What is the present value of a perpetual annuity of $500 p.a. at 10%? P e r p e t u i t i e s Present value of annuities which are expected to continue for an indefinitely long period of time.

PV of perpetuity = Annuity ÷ Interest rate

PV perpetuity = Annual Cash Flow ÷ Discount rate (as a decimal) = $500 ÷ 0.1 = $5,000 Illustration 16 Investment AB requires an initial investment of $150,000. It is expected to generate annual cash inflow of $30,000 for 5 consecutive years. The cost of capital (or the rate of return) is 10%. Determine the net present value for the investment. Year Cash Flow ($) Discounted Factor at 10% Present Value

0 (150,000) 1.000 (150,000) 1 30,000 0.909 27,270 2 30,000 0.826 24,780 3 30,000 0.751 22,530 4 30,000 0.683 20,490 5 30,000 0.621 18,630

Net Present Value (36,300) The PV of cash outflows exceeds the PV of cash inflows by $36,600. Therefore, it should not be undertaken. Illustration 17 Investment AB requires an initial investment of $150,000. It is expected to generate annual cash flow of:

Year 1 Year 2 Year 3 Year 4 Year 5 $30,000 $40,000 $60,000 $80,000 ($20,000)

The cost of capital (or the rate of return) is 10%. Determine the net present value for the investment. Year Cash Flow ($) Discounted Factor at 10% Present Value

0 (150,000) 1.000 (150,000) 1 30,000 0.909 27,270 2 40,000 0.826 33,040 3 60,000 0.751 45,060 4 80,000 0.683 54,640 5 (20,000) 0.621 (12,420)

Net Present Value (2,410) The PV of cash outflows exceeds the PV of cash inflows by $2,410. Therefore, it should not be undertaken. Illustration 18 An investment has the following expected cash flows over its economic life of three years:

Year $ 0 (142,700) 1 51,000



2 62,000 3 73,000

Calculate the net present value (NPV) of the project at discount rates of 0%, 10% and 20%. Year Cash Flow ($) Discounted Factor at

10% Present Value Discounted Factor at

20% Present Value

0 (142,700) 1.000 (142,700) 1.000 (142,700) 1 51,000 0.909 46,359 0.833 42,483 2 62,000 0.826 51,212 0.694 43,028 3 73,000 0.751 54,823 0.579 42,267 Net Present Value 9,694 (14,922) Illustration 19 An investment has the following expected cash flows over its economic life of three years:

Year $ 0 (142,700) 1 51,000 2 62,000 3 73,000

Calculate the net present value (NPV) of the project at discount rates of 0%, 10% and 20%. Based on the above illustration, determine the Internal Rate of Return (IRR).

If IRR > cost of capital = + NPV = Profits If cost of capital > IRR = – NPV = Loss

IRR = a% + [ A

x (b – a)]% A – B

a = Interest rate #1 b = Interest rate #2 A = NPV at interest rate a B = NPV at interest rate b

IRR = 10% + [$9,694/ ($9,694+14,922) x (20-10)]% = 13.94% QUESTIONS: 1. B Limited wishes to set up a sinking fund that will be sufficient to pay for a new asset in six

years’ time. The new asset will cost $200,000 in six years’ time. The cost of capital is 12%. How much should the company set aside on an annual basis if they start making payments into the fund now and finish immediately before the asset is acquired? A $19,824 C $24,645 B $21,081 D $31,482

Total payment: 7 instalments AF: 4.111 + 1 = 5.111 PV of Annuity = 200,000 ÷ 1.126 = 101,326 Annuity = 101,326 ÷ 5.111 = 19,825

2. Alice is planning on paying $300 into a fund on a monthly basis starting three months from

now, for twelve months. The interest earned will be at a rate of 3% per month. What is the present value of these payments? A $2,816 C $2,541 B $2,733 D $2,986

$300 paid at the beginning of the month AF for 14 months: 11.296



AF for 2 months: 1.913 Difference: 9.383 PV of Annuity: 300 x 9.383

3. Angelina wishes to take out a loan for $2,000. The interest rate on this loan would be 10% per

annum and Augustine wishes to make equal monthly repayments, comprising interest and principal, over three years starting one month after the loan is taken out. What would be the monthly repayment on the loan (to the nearest $)? A $56 C $66 B $64 D $67 Interest per annum: 10% Interest per month: 0.8333% AF for 36 months: 31.0093 Annuity: 2000 ÷ 31.0093

4. Mr Menon has recently won a competition where he has the choice between receiving $5,000 now or an annual amount forever starting now (i.e. a level perpetuity starting immediately). The interest rate is 8% per annum. What would be the value of the annual perpetuity to the nearest $? A $370 C $400 B $500 D $620 $5,000 x 0.08 = $400

5. James wants to invest his pocket money. He receives $5 a month which he puts into a savings account earning compound interest at 0·5% per month. If James saves his money, how much will be in the account in five years’ time (60 months) (to nearest $)? A $303 C $349 B $338 D $354 AF for 60 months: 51.7256 PV of Annuity: 5 x 51.7256 = 259 Annual interest: (1+ 0.005)12 -1 = 6.1678% FV of Annuity: 259 x (1+0.061678)5 =349 Note: Normally in exam Q: AF is given. Students no need to calculate

6. The statements below relate to the internal rate of return: The internal rate of return (i) Calculates the highest possible net present value. (ii) Represents the intrinsic discount rate of an investment over its life. (iii) Will always give the investor the correct decision when comparing well behaved

projects. Which of the above are NOT CORRECT? A (i) and (ii) only B (i) and (iii) only C (ii) and (iii) only D (i), (ii) and (iii)

7. Dalby is currently considering an investment that gives a positive net present value of $3,664

at 15%. At a discount rate of 20% it has a negative net present value of $21,451. What is the internal rate of return of this investment? A 15.7% C 19.3%



B 16.0% D 19.9% IRR = 15% + {[3664 ÷ (3664+21451)] x 5} % = 15.7%

8. An investment gives the following results:

Net present value Discount rate $000 383 10%

(246) 15% What is the estimated internal rate of return to the nearest whole percentage? A 12% C 14% B 13% D 17%

IRR = 10% + {[383 ÷ (383+246)] x 5} % = 13.04%

9. An investment has the following cash inflows and cash outflows:

Time Cash flow per annum DF@8% PV@8%

$000

0 (20,000) 1 (20,000)

1-4 3,000 3.312 9,936

5-8 7,000 5.747-3.312 17,045

10 (10,000) 0.463 (4,630)

NPV 2,351 What is the net present value of the investment at a discount rate of 8%? A ($2,416) C $6,981 B $7,046 D $2,351

10. A company has evaluated the potential for investment in Project Y.

Cash flow is estimated to be: Year 0 1 2 3 4 5 Project Y ($’000) (1,000) 400 400 400 400 400

(i) Calculate the payback period for the project. 2.5years ($1,000 ÷ $400) (ii) Calculate the net present value (NPV) of the project using a discount rate of 12% per

annum. $442k Time $ AF@12% PV@12% DF@20% PV@20%

0 (1,000) 1 (1,000) 1 (1,000) 1 - 5 400 3.605 1,442 2.991 1,196.4

NPV 442 (196.4)

(iii) Determine the internal rate of return (IRR) of the project. IRR = 12% + {[442 ÷ (442-196.4)] x 8} % = 26.4%

11. A company has to choose between two projects, Project A and Project B. Cash inflow

projections are as follows: Year Project A ($000) Project B ($000)

1 100 200 2 200 200 3 300 200 4 400 200 5 500 200

The projects require an initial investment of:



Project A $900,000 Project B $640,000 a) Calculate for each project:

(i) The net present value; Time $ DF@15% PV@15% DF@20% PV@20%

0 (900) 1 (900) 1 (900) 1 100 0.870 87 0.833 83.3 2 200 0.756 151.20 0.694 138.8 3 300 0.658 197.4 0.579 173.7 4 400 0.572 228.8 0.482 192.0 5 500 0.497 248.5 0.402 201

NPV 12.9 (111.2)

Time $ AF@15% PV@15% AF@20% PV@20% 0 (640) 1 (640) 1 (640)

1 - 5 200 3.352 670.4 2.991 598.2 NPV 30.4 (41.8)

(ii) The internal rate of return Project A = 15% + {[12.9 ÷ (12.9+111.2)] x 5} %

= 15.52% Project B = 15% + {[30.4 ÷ (30.4+41.8)] x 5} %

= 17.10%

b) Calculate the payback period. Project A = 3.75years (cumulative cash flow method) Do it yourself :p Project B = 3.2 years ($640 ÷ $200)

12. Barcombe has been looking at a potential project which has the following cash inflows: End of year $’000

1 15 2 17 3 22 4 2

To acquire these inflows Barcombe would have to invest $36,000 in fixed assets now. The assets would be expected to be sold at the end of the project for $2,000. a) Calculate the net present value of the project using 10% and 20% as the discount factors.

Time $ DF@10% PV@10% DF@20% PV@20% 0 (36,000) 1 (36,000) 1 (36,000) 1 15,000 0.909 13,635 0.833 12,495 2 17,000 0.826 14,042 0.694 11,798 3 22,000 0.751 16,522 0.579 12,738 4 2,000 0.683 1,366 0.482 964

NPV 9,565 1,995

b) Using your results from part (a), calculate the internal rate of return for this investment to one decimal place.

IRR = 10% + {[9,565 ÷ (9,565-1,995)] x 10}% = 22.64% 13. A capital investment project requires a cash outflow of $81,000 (time 0) at the start of the

project. Annual cash inflows are forecast to be constant for four years (Years 1 to 4). The net present value (NPV) of the project at a discount rate of 12% per annum is $8,683 (positive). The internal rate of return of the project is 17%. Annuity factors (Years 1 to 4) at 12% and 17% are 3.037 and 2.743 respectively. What is the forecast annual cash inflow?



A $23,810 B $26,670 C $29,530 (81,000 + 8,683) ÷ 3.037 D $32,695

14. An investment project has net present values as follows:

At a discount rate of 5% $69,700 positive At a discount rate of 14% $16,000 positive At a discount rate of 20% $10,500 negative Using the above figures, what is the BEST approximation of the internal rate of return of the investment project? NPV = 0; IRR is between 14% - 20% A 17.6% [14 + 6(16,000 ÷ 26,500)]

B 17.9% C 18.0% D 22.7%

15. A company has decided to lease a machine. Six annual payments of $8,000 will be made

with the first payment on receipt of the machine. Below is an extract from an annuity table: Year Annuity factor

10% 1 0.909 2 1.736 3 2.487 4 3.170 5 3.791 + 1 (Time 0)

6 4.355 What is the present value of the lease payments at an interest rate of 10%? A $30,328 B $34,840 C $38,328 (8,000 × 4.791) D $48,000

Starts the payment on Time 0 (payment 1), Time 1 (payment 2), Time 2 (payment 3)…… 16. A company has incurred sunk cost development costs of $25,000 to date on a proposed new

product. Further costs of $18,000 incremental cost would be required to complete the development of the product. In deciding whether to continue with the new product development which of the following is correct regarding development costs?

Sunk cost Incremental cost A $0 $43,000 B $18,000 $25,000 C $25,000 $18,000 D $43,000 $0

17. A company is proposing to launch a new product. Incremental net cash inflows of $36,000

per annum for five years are expected, starting at Time 1. An existing machine, with a net book value of $85,000 irrelevant; sunk cost, would be used to manufacture the new product. The machine could otherwise be sold now, Time 0, for



$60,000 if sold now, can get $$$. The machine, if used for the manufacture of the new product, would be depreciated on a straight-line basis over five years, starting at Time 1. What are the relevant amounts that should be used, at Time 0 and Time 1, in the discounted cash flow appraisal of the project?

Time 0 Time 1 A $0 $19,000 B $0 $24,000 C ($60,000) $36,000 D ($85,000) $36,000

18. An investment project has net present values as follows:

Discount rate 11% per annum: net present value $35,170 positive Discount rate 15% per annum: net present value $6,040 positive. What is the best estimate of the internal rate of return? NPV = 0; more than 15% A 14.5% B 15.8% {11% + [4% x ($35,170/$29,130)]} C 19.5% D 19.8%

19. A machine has an investment cost of $60,000 at time 0. The present values (at time 0) of the

expected net cash inflows from the machine over its useful life are: Discount rate Present value of cash inflows 10% $64,600 15% $58,200 20% $52,100 What is the internal rate of return (IRR) NPV=0 of the machine investment? A Below 10% B Between 10% and 15% C Between 15% and 20% D Over 20%

20. An investment project has a positive net present value (NPV) of $7,222 when its cash flows

are discounted at the cost of capital of 10% per annum. Net cash inflows from the project are expected to be $18,000 per annum for five years. The cumulative discount (annuity) factor for five years at 10% is 3.791. What is the investment at the start of the project? A $61,016 [($18,000 x 3.791) – $7,222] = $61,016 B $68,238 C $75,460 D $82,778

21. The following statements relate to an investment project that has been discounted at rates

of 10% and 20%: 1. The discounted payback period at 10% will be longer than the discounted payback

period at 20%. 2. The discounted payback period at 20% will be longer than the discounted payback

period at 10%. 3. The non-discounted payback period will be longer than the discounted payback period. 4. The non-discounted payback period will be shorter than the discounted payback period. Which of the statements are true?



A 1 and 3 B 1 and 4 C 2 and 3 D 2 and 4

22. A company is considering the use of Material X in a special order. A sufficient quantity of the

material, which is used regularly only replacement cost is relevant by the company in its normal business, is available from stock. What is the relevant cost per kg of Material X in the evaluation of the special order? A cost of the last purchase B nil C replacement cost D saleable value

23. A capital investment project has an initial investment followed by constant annual returns. How is the payback period calculated? A initial investment ÷ annual profit B initial investment ÷ annual net cash inflow C (initial investment – residual value) ÷ annual profit D (initial investment – residual value) ÷ annual net cash inflow

24. What is the effective annual rate of interest of 2.1% compounded every three months?

A 6.43% B 8.40% C 8.67% [(1·021)4 – 1] × 100 = 8·67% D 10.87%

25. A company is considering an immediate investment in new machinery. The machinery

would cost $100,000 with expected net cash inflows of $30,000 per year starting in Year 1. The disposal value of the machine after five years is expected to be $10,000. $15,000 has already been incurred sunk cost on development costs. What is the payback period of the investment based on future incremental cash flows? A 3.0 years B 3.3 years 100,000 ÷ 30,000 = 3.3 years C 3.5 years D 3.8 years

26. What term is used to represent the benefit sacrificed when one course of action is chosen in

preference to an alternative? A Avoidable cost B Direct cost C Incremental cost D Opportunity cost

27. Which of the following accurately defines the internal rate of return (IRR)?

A The average annual profit from an investment expressed as a percentage of the investment sum

B The discount rate (%) at which the net present value of the cash flows from an investment is zero



C The net present value of the cash flows from an investment discounted at the required rate of return

D The rate (%) at which discounted net profits from an investment is zero 28. What is the effective annual rate of interest of 4.3% compounded every six months?

A 8.60% B 8.78% [(1.043)² – 1] C 9.25% D 10.88%

29. Net cash flows, estimated for a capital investment project, have been discounted at four

discount rates with the following results: Discount rate

5% 10% 15% 20% Net present value ($000) 92.9 39.1 (4.8) (40.9) What is the best estimate of the IRR using only the above data as appropriate? A 13.6% B 14.5% {10% + [(15 – 10%) x (39.1 ÷ 43.9)]} C 15.4% D 15.7%

30. A project, investing in new machinery, has an estimated five year life. The cost of capital is

10% per annum. Estimated cash flows are:

Time Cash flows 0 (cost) ($186,000) 1 to 5 (inflows) $56,000 per annum 5 (residual value) $10,000

The cumulative discount factor at 10% for Time 1 to 5 is 3.79. The discount factor at 10% for Time 5 is 0.62. What is the net present value of the project? A $16,240 B $20,040 C $32,440 [($56,000 x 3.79) + ($10,000 x 0.62) – $186,000] D $36,240

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