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  • (Phn Excel)

    - Hng dn chi tit cch gii

    (gii y )

  • MC LC

    PHN 1: EXCEL .......................................................................................................... 1

    Bi 1 ............................................................................................................................... 1

    Bi 2 ............................................................................................................................... 6

    Bi 3 ............................................................................................................................. 12

    Bi 4 ............................................................................................................................. 16

    Bi 5 ............................................................................................................................. 21

    Bi 6 ............................................................................................................................. 25

    Bi 7 ............................................................................................................................. 26

    Bi 8 ............................................................................................................................. 29

    Bi 9 ............................................................................................................................. 33

    Bi 10 ........................................................................................................................... 36

    Bi 11 ........................................................................................................................... 37

    Bi 12 ........................................................................................................................... 38

    Bi 13 ........................................................................................................................... 40

    Bi 14 ........................................................................................................................... 42

    Bi 15 ........................................................................................................................... 44

    Bi 16 ........................................................................................................................... 49

    Bi 17 ........................................................................................................................... 51

    Bi 18 ........................................................................................................................... 57

    Bi 19 ........................................................................................................................... 64

    Bi 20 ........................................................................................................................... 68

    Bi 21 ........................................................................................................................... 73

    Bi 22 ........................................................................................................................... 79

    Bi 23 ........................................................................................................................... 87

    Bi 24 ........................................................................................................................... 92

    Bi 25 ........................................................................................................................... 95

    Bi 26 ........................................................................................................................... 96

    PHN 2: ACCESS ...................................................................................................... 99

  • 1

    PHN 1: EXCEL

    Bi 1

    Bng nhp liu

    ngha s chng t (S CT): k t u cho bit m hang, k t th 2 cho bit sn

    phm thuc loi no, cc k t tip theo l m s chng t.

    Cu 1: Da vo s chng t v bng 1 in gi tr ct sn phm v n gi. Bit

    rng gi bn theo loi sn phm v nhng chng t trong thng 1 v 2 gi tng

    10% so vi gi nim yt.

    *in gi tr ct sn phm

    - Nhp vo C3 hm sau: =VLOOKUP(LEFT(B3;1);$A$17:$B$21;2;0)

    - Tip theo gi nt in v ko t C3 cho n C12.

    *in gi tr ct Loi SP

    - Nhp vo E3 hm sau: =VLOOKUP(LEFT(B3;1);$A$17:$B$21;2;0)

    - Tip theo gi nt in v ko t E3 cho n E12.

    *in gi tr ct n gi

    - Tm n gi t bng 1 ta dng hm index:

    =INDEX($C$17:$E$21;MATCH(C3;$B$17:$B$21;0);MATCH(E3;$C$16:$E$16;0))

    - Nhp vo G3 hm sau:

  • 2

    =IF(OR(MONTH(D3)=1;MONTH(D3)=2);INDEX($C$17:$E$21;MATCH(C3;$B$

    17:$B$21;0);MATCH(E3;$C$16:$E$16;0))*1.1;INDEX($C$17:$E$21;MATCH(C3;

    $B$17:$B$21;0);MATCH(E3;$C$16:$E$16;0)))

    - Tip theo gi nt in v ko t G3 cho n G12.

    Cu 2: in gi tr ct loi SP (lm cu 1)

    Cu 3: in gi tr ct gim gi, bit rng chng t mua sn phm loi 3 trong

    thng 2 c gim 5% tr gi.

    - Nhp vo H3 hm sau: =IF(AND(E3=3;MONTH(D3)=2);G3*0.95;G3)

    - Tip theo gi nt in v ko t H3 cho n H12.

    Cu 4: in gi tr ct doanh thu. Doanh thu = s lng * n gi gim gi

    - Nhp vo I3 hm sau: =F3*G3-H3

    - Tip theo gi nt in v ko t I3 cho n I12.

    Cu 5: in gi tr cho bng thng k 2: thng k doanh thu theo sn phm v

    theo thng.

    Bc 1: Nhp vo B26 hm sau:

    =SUM(IF($C$3:$C$12=A26;IF(MONTH($D$3:$D$12)=$B$25;$I$3:$I$12)))

    Sau nhn Ctrl + Shift + Enter.

    - Tip theo gi nt in v ko theo hng dc t B26 cho n B30.

    Bc 2: Sa hm B26 thnh:

    =SUM(IF($C$3:$C$12=$A$26;IF(MONTH($D$3:$D$12)=B25;$I$3:$I$12)))

    Sau nhn Ctrl + Shift + Enter.

    - Tip theo gi nt in v ko theo hng ngang t B26 n B28.

    Bc 3: Sa hm C26 thnh:

    =SUM(IF($C$3:$C$12=A26;IF(MONTH($D$3:$D$12)=$C$25;$I$3:$I$12)))

    Sau nhn Ctrl + Shift + Enter.

    - Tip theo gi nt in v ko theo hng dc t C26 cho n C30.

    Bc 4: Sa hm D26 thnh:

    =SUM(IF($C$3:$C$12=A26;IF(MONTH($D$3:$D$12)=$D$25;$I$3:$I$12)))

    Sau nhn Ctrl + Shift + Enter.

    - Tip theo gi nt in v ko theo hng dc t D26 cho n D30.

    Cu 6: in gi tr cho bng thng k 3: thng k doanh thu theo sn phm v

    theo loi trong thng 3.

    Bc 1: Nhp vo G26 hm sau:

  • 3

    =SUM(IF($C$3:$C$12=F26;IF($E$3:$E$12=$G$25;IF(MONTH($D$3:$D$12)=

    3;$I$3:$I$12))))

    Sau nhn Ctrl + Shift + Enter.

    - Tip theo gi nt in v ko theo hng dc t G26 cho n G30.

    Bc 2: Sa hm G26 thnh:

    =SUM(IF($C$3:$C$12=$F$26;IF($E$3:$E$12=G25;IF(MONTH($D$3:$D$12)=

    3;$I$3:$I$12))))

    Sau nhn Ctrl + Shift + Enter.

    - Tip theo gi nt in v ko theo hng ngang t G26 n I28.

    Bc 3: Sa hm H26 thnh:

    =SUM(IF($C$3:$C$12=F26;IF($E$3:$E$12=$H$25;IF(MONTH($D$3:$D$12)=

    3;$I$3:$I$12))))

    Sau nhn Ctrl + Shift + Enter.

    - Tip theo gi nt in v ko theo hng dc t H26 cho n H30.

    Bc 4: Sa hm I26 thnh:

    =SUM(IF($C$3:$C$12=F26;IF($E$3:$E$12=$I$25;IF(MONTH($D$3:$D$12)=3

    ;$I$3:$I$12))))

    Sau nhn Ctrl + Shift + Enter.

    - Tip theo gi nt in v ko theo hng dc t I26 cho n I30.

    Cu 7: nh dng du phn cch hng ngn cho cc ct c gi tr kiu s.

  • 4

    - Chn vng d liu c gi tr kiu s mun nh dng (n gi, gim gi, doanh

    thu, doanh thu theo thng v doanh thu thng 3 theo loi sn phm)

    - Trong Home chn th Number chn biu tng Comma Style

    - Mun gim s thp phn chn biu tng Decrease Decimal .

    Cu 8: Da vo bng thng k 2, v th so snh doanh thu trong tng thng

    ca my ca, my mi v my phay.

    - Chn d liu doanh thu ca my ca, my mi v my phay t bng thng k

    2, nhn phm Ctrl ty chn ng thi nhiu dng.

    - Insert trong th Charts chn biu tng ng.

    Vd: chn biu 3-D Column ta c hnh sau

    Cu 9: Trch cc chng t c tr gi t 30 triu 50 triu ra mt vng ring trn

    bng tnh.

    - Copy ct doanh thu ra mt vng ring v g iu kin nh sau:

    - Data trong th Sort & Filter chn Advanced hp thoi Advanced Filter

    xut hin.

  • 5

    + Trong phn Action chn Copy to another location trch d liu lc c

    ra mt vng ring ca bng tnh.

    + List range: chn vng mun trch d liu (bao gm c phn tiu v phn

    d liu).

    + Criteria range: chn vng iu kin.

    + Copy to: Chn vng mun hin d liu trch ra (chn mt vng trng tng

    ng vi tiu bng tnh).

    - Nhp chut vo nt OK ta c bng lc mi nh sau:

    *Bi tp hon thnh nh sau:

  • 6

    Bi 2

    Hon tt bng bo co sau:

    Cu 1: Lp cng thc in d liu cho cc ct cn li, bit rng:

    *Ct VT v n gi ly ra t bng tham chiu

    - Nhp vo E4 hm sau: =VLOOKUP(D4;$A$17:$B$20;2;0)

    - Tip theo gi nt in v ko t E4 cho n E13.

    - Nhp vo G4 hm sau: =VLOOKUP(D4;$A$17:$B$20;3;0)

    - Tip theo gi nt in v ko t G4 cho n G13.

    *T-Tin = S lng*n gi

    - Nhp vo H4 hm sau: =F4*G4

    - Tip theo gi nt in v ko t H4 cho n H13.

    *Ph ph = T-Tin*ph ph cc mt hng tng ng trong bng tham

    chiu

    - Nhp vo I4 hm sau: =H4*VLOOKUP(D4;$A$17:$D$20;4;0)

    - Tip theo gi nt in v ko t I4 cho n I13.

    * Tnh Thu TT: Nu 2 k t cui ca SH l NB th Thu TT bng 0,

    ngc li Thu TT = (T-Tin +ph ph) * t l thu (ly t bng tham chiu)

    - Nhp vo J4 hm sau: =IF(RIGHT(B4;2)="NB";0;(H4+I4)*$B$21)

    - Tip theo gi nt in v ko t J4 cho n J13.

    * Tng cng = T-Tin + Ph ph + Thu TT

    - Nhp vo K4 hm sau: =H4+I4+J4

    - Tip theo gi nt in v ko t K4 cho n K13.

    Cu 2: in gi tr cho bng tng hp doanh s bn hng

    - Nhp vo G18 hm sau: =SUMIF($C$4:$C$13;F18;$K$4:$K$13)

    - Tip theo gi nt in v ko t G18 cho n G20.

  • 7

    - Nhp vo I18 hm sau: =SUMIF($D$4:$D$13;H18;$K$4:$K$13)

    - Tip theo gi nt in v ko t I18 cho n I21.

    Cu 3: Trch ra nhng hp ng khng tnh thu tiu th ra mt vng ring

    trn bng tnh

    - Copy ct doanh thu ra mt vng ring v g iu kin (=0) nh sau:

    - Data trong th Sort & Filter chn Advanced hp thoi Advanced Filter

    xut hin.

    + Trong phn Action chn Copy to another location trch d liu lc c

    ra mt vng ring ca bng tnh.

    + List range: chn vng mun trch d liu (bao gm c phn tiu v phn

    d liu).

    + Criteria range: chn vng iu kin.

    + Copy to: Chn vng mun hin d liu trch ra (chn mt vng trng tng

    ng vi tiu bng tnh).

    - Nhp chut vo nt OK ta c bng lc mi nh sau:

    *Bi hon thnh:

  • 8

    Cu 4: Dng chc nng PivotTable thng k tng s lng, tng thnh tin, tng

    thu TT theo khch hng theo ngy

    - Insert trong th Tables chn PivotTable PivotTable hp thoi Create

    PivotTable xut hin.

    + Table/Range: chn ngun d liu (chn bng bao gm c tiu v d liu)

    + Choose where you want the PivotTable report to be placed: Chn vng hin

    th (kch vo New Worksheet hin th kt qu ra mt sheet mi)

    + Kt thc nhp vo OK, ta c hnh sau:

  • 9

    + Trong phn Choose fields to add to report, kch chut vo chn Ngy,

    Khch, S lng, T-Tin, Thu TT, Tng.

    + Ko Ngy t th Row Labels ln th Report Filter.

    + Trong th Values chn hm mun tnh ton. Kch chut vo du mi tn

    hng xung Chn Value Field Setting Chn Sum OK.

    + Kch chut vo tiu v sa tn theo ng yu cu ca bi.

    *Bng kt qu:

    Cu 5: Dng chc nng SubTotal thng k theo tng khch hng

    Bc 1: Sp xp d liu theo khch hng

    - Chn bng d liu (t A3 n K13, chn lun phn tiu ).

    - Home trong th Editing chn Sort & Filter Custom Sort hp thoi

    Sort xut hin

  • 10

    + Trong Column (Sort by) chn Khch hng.

    + Trong Sort On chn Values.

    + Trong Order chn A to Z.

    + Nhp chut vo OK, ta c bng d liu c sp xp theo Khch hng.

    Bc 2: Thc hin thng k bng chc nng Subtotal

    - Chn bng d liu (t A3 n K13, chn lun phn tiu ).

    - Data Subtotal hp thoi Subtotal xut hin

    + Trong At each change in chn Khch hng (bin sp xp)

    + Trong Use function chn Sum (hm mun thc hin tnh ton)

    + Trong Add subtotal to chn cc bin mun tnh tng: S lng, T-Tin,

    Ph ph, Thu TT, Tng.

    + Nhp chut vo OK, ta c bng kt qu nh sau:

  • 11

  • 12

    Bi 3

    Cng ty thc phm c doanh thu 6 thng u nm 2014 nh sau:

    Cu 1: Dng chc nng PivotTable tng hp doanh thu ca cc ca hng theo

    thng.

    - Nhn ln lt phm Alt + D + P hp thoi PivotTable and PivotChart

    Wizard xut hin Chn Multiple consolidation ranges Next.

    - Tip theo chn I will create the page fields trong phn How many page fields

    do you want? Next

  • 13

    - Hp thoi mi xut hin

    + Trong Range: chn cc vng d liu mun thng k Add.

    + Trong phn How many page fields do you want chn 1 v in vo Field

    one ch Ca hng.

    Next

    - Hp thoi mi xut hin Chn New worksheet th hin bng kt qu

    sang mt sheet mi Finish.

  • 14

    - Sa li tiu theo yu cu ca bi.

    *Bng kt qu

    Cu 2: Dng chc nng Consolidate tng hp bo co

    - Copy cu trc d liu ra mt vng khc (hoc mt sheet khc), sau chn

    vng mun hin th kt qu bo co (khng chn tiu , xem hnh di).

    - Data trong th Data Tools chn Consolidate hp thoi Consolidate xut

    hin.

  • 15

    + Trong Function, chn hm mun tnh ton kt qu bo co Sum.

    + Trong Reference chn a ch cc vng d liu chi tit (lu : khng chn

    tiu ) Add.

    + Trong phn Use lables in chn Create links to source data lin kt t bng

    tng hp n bng d liu chi tit OK.

    *Bng kt qu:

  • 16

    Bi 4

    Mt cng ty c 3 ca hng bn l dng c th thao ti tnh A. Cng ty tng hp

    doanh thu hng tun vi cc thng tin nh bng sau (file Bai 4.xlsx)

    Cu 1: Dng chc nng PivotTable thng k tng s lng khch, tng doanh

    thu ca tng loi Cu Lng, Tennis, Bng bn theo ca hng theo ngy.

    - Chn bng d liu (bao gm c phn tiu )

    - Insert trong th Tables chn PivotTable PivotTable hp thoi Create

    PivotTable xut hin.

    + Table/Range: chn ngun d liu (chn bng bao gm c tiu v d liu)

  • 17

    + Choose where you want the PivotTable report to be placed: Chn vng hin

    th (kch vo New Worksheet hin th kt qu ra mt sheet mi)

    + Kt thc nhp vo OK, ta c hnh sau:

    + Trong phn Choose fields to add to report, kch chut vo chn Ca hng,

    Ngy, Tng lng khch, Cu lng, Bng bn, Tennis.

    + Ko Ngy t th Row Labels th ln th Report Filter.

    + Ko Ca hng t th Values th sang th Row Lables.

    + Ko Tennis ln trn Bng bn (trong th Values)

    + Trong th Values chn hm mun tnh ton. Kch chut vo du mi tn

    hng xung Chn Value Field Setting Chn Sum OK.

    + Kch chut vo tiu v sa tn theo ng yu cu ca bi.

    *Bng kt qu:

    Cu 2: Dng chc nng PivotTable thng k ca hng c lng khch ng

    nht theo ngy

    - Chn bng d liu (bao gm c phn tiu ).

    - Insert trong th Tables chn PivotTable PivotTable hp thoi Create

    PivotTable xut hin.

  • 18

    + Table/Range: chn ngun d liu (chn bng bao gm c tiu v d liu)

    + Choose where you want the PivotTable report to be placed: Chn vng hin

    th (kch vo New Worksheet hin th kt qu ra mt sheet mi)

    + Kt thc nhp vo OK, ta c hnh sau:

    + Trong phn Choose fields to add to report, kch chut vo chn Ca hng,

    Ngy, Tng lng khch.

    + Ko Ngy vo th Row Labels.

    + Ko Ca hng t th Values th sang th Row Lables (Ca hng phi nm

    di Ngy).

    + Trong th Values chn hm mun tnh ton. Kch chut vo du mi tn

    hng xung ca Tng lng khch Chn Value Field Setting Chn

    Max OK.

    + Kch chut vo tiu v sa tn theo ng yu cu ca bi.

  • 19

    *Bng kt qu:

    Cu 3: Dng chc nng SubTotal thng k doanh thu tng ca hng

    - Trc khi thc hin Subtotal phi sp xp li bin cn thng k (Sort by A to

    Z).

    - Chn bng d liu (t A4 n J25, chn lun phn tiu ).

    - Data Subtotal hp thoi Subtotal xut hin

  • 20

    + Trong At each change in chn Ca hng (bin sp xp)

    + Trong Use function chn Sum (hm mun thc hin tnh ton)

    + Trong Add subtotal to chn cc bin mun tnh tng: Tng doanh thu,

    Bng r, Cu long, Bng , Bng chuyn, Bng bn, Tennis.

    + Nhp chut vo OK, ta c bng kt qu nh sau:

  • 21

    Bi 5

    S liu tng kt s lng hc sinh t yu cu trong 2 nm hc 2009 2010 nh

    sau

    Cu 1: Dng chc nng PivotTable thng k tng s hc sinh t yu cu ca

    tng mn theo nm hc v theo hc k.

    - Nhn ln lt phm Alt + D + P hp thoi PivotTable and PivotChart

    Wizard xut hin Chn Multiple consolidation ranges Next.

    - Tip theo chn I will create the page fields trong phn How many page fields

    do you want? Next.

  • 22

    - Hp thoi mi xut hin

    + Trong Range: chn cc vng d liu mun thng k (chn c phn tiu )

    Add.

    + Trong phn How many page fields do you want chn 2 v in vo Field

    one ch Nm hc v Hc k.

    Next

    - Hp thoi mi xut hin Chn New worksheet th hin bng kt qu

    sang mt sheet mi Finish.

  • 23

    - Sa li tiu theo yu cu ca bi.

    - Nu c dng (blank) th kch chut phi Hide.

    *Bng kt qu

    Cu 2: Dng chc nng Consolidate tng hp bo co

    - Copy cu trc d liu ra mt vng khc (hoc mt sheet khc), sau chn

    vng mun hin th kt qu bo co (khng chn tiu , xem hnh di).

    - Data trong th Data Tools chn Consolidate hp thoi Consolidate xut

    hin.

  • 24

    + Trong Function, chn hm mun tnh ton kt qu bo co Sum.

    + Trong Reference chn a ch cc vng d liu chi tit (lu : khng chn

    tiu ) Add.

    + Trong phn Use lables in chn Create links to source data lin kt t bng

    tng hp n bng d liu chi tit OK.

    *Bng kt qu:

  • 25

    Bi 6

    Da vo s liu thng k s lng bt git bn ra ca cng ty ABC nm 2010, hy

    tnh cc gi tr sau:

    *Trung bnh

    - Nhp vo E3 hm sau: =AVERAGE(B3:B14)

    *Gi tr ln nht

    - Nhp vo E4 hm sau: =MAX(B3:B14)

    *Gi tr nh nht

    - Nhp vo E5 hm sau: =MIN(B3:B14)

    *Phng sai

    - Nhp vo E6 hm sau: =VAR(B3:B14)

    * lch chun

    - Nhp vo E7 hm sau: =STDEV(B3:B14) hoc =SQRT(E6)

    * nhn

    - Nhp vo E8 hm sau: =KURT(B3:B14)

    *S trung v

    - Nhp vo E9 hm sau: =MEDIAN(B3:B14)

    *S yu v

    - Nhp vo E10 hm sau: =MODE(B3:B14)

    * bt i xng

    - Nhp vo E11 hm sau: =SKEW(B3:B14)

  • 26

    Bi 7

    Cho s liu v doanh thu, chi ph qung co v tin lng ca 12 cng ty nh sau:

    Yu cu: dng chc nng Regression d bo doanh thu ca cng ty nu chi ph

    qung co l 25 v tin lng l 18.

    *Thm chc nng Regression vo Excel nh sau (nu my bn cha c):

    - File Option Add-Ins Analysis ToolPak Go Analysis ToolPak

    OK.

    *M chc nng Regression ln v thc hin cc thao tc:

    - Data trong th Analysis chn Data Analysis Regression OK hp thoi

    Regression xut hin:

    + Trong Input Y Range, chn vng d liu ca Doanh thu (Y).

  • 27

    + Trong Input X Range, chn vng d liu ca Chi ph qung co v Tin lng

    (X1 v X2).

    Lu : khi chn vng phi chn lun tiu Y v X1, X2 (v d: chn vng ca Y l

    $A$3:$A$15).

    + Trong Output Range chn vng hin th ca bng kt qu Regression (chn mt

    trng bt k).

    + Kt thc nhp chut vo OK, ta s c kt qu sau:

    + Da vo kt qu trn ta c c h s hi quy tuyn tnh mu ti Coefficients (

    B32):

    {

    0 = 29,66190108

    1 = 0,002318393

    2 = 8,484157651

    Hm hi quy tuyn tnh th hin s ph thuc ca doanh thu vo chi ph qung

    co v tin lng l:

    = 0 + 1. 1 + 2. 2

    = 29,66190108 + 0,002318393. 1 + 8,484157651. 2

    - Tnh doanh thu d bo ti A16 khi chi ph qung co l 25 triu ng/thng

    v tin lng l 18 triu ng/thng:

    + Nhp vo A16 hm sau : =B33+B34*B16+B35*C16

    + Nhp vo Decrease Decimal gim bt phn thp phn (Home trong th

    Number chn Decrease Decimal)

    *Bng kt qu:

  • 28

  • 29

    Bi 8

    Cho s liu v nng sut lao ng, gi thnh sn phm, chi ph nguyn vt liu

    chnh trong gi thnh sn phm ca 5 x nghip cng sn xut mt loi sn phm nh

    sau:

    Gi s c quan h tuyn tnh gia Y v X1, X2.

    Cu 1: Dng hm LINEST thnh lp hm hi quy tuyn tnh.

    - Kch chut ti F5 v chn mt vng trng bao gm 5 dng v 3 ct (ging

    vi cu trc d liu), sau g hm =LINEST(B5:B9;C5:D9;1;1) ti F5

    Kt thc nhn Ctrl + Shift + Enter.

    Lu : chn vng xong th g hm lun.

    - Ta c bng kt qu nh sau :

    - Hm hi quy tuyn tnh cn tm l:

    = 4,25925926 0,37037037. 1 + 1,074074074. 2

  • 30

    Cu 2: Dng chc nng Regression d bo gi thnh n v sn phm trong

    trng hp nng sut lao ng l 27 triu ng, nguyn vt liu chnh chim

    52% gi thnh n v sn phm.

    *Thm chc nng Regression vo Excel nh sau (nu my bn cha c):

    - File Option Add-Ins Analysis ToolPak Go Analysis ToolPak

    OK.

    *M chc nng Regression ln v thc hin cc thao tc:

    - Data trong th Analysis chn Data Analysis Regression OK hp thoi

    Regression xut hin:

    + Trong Input Y Range, chn vng d liu ca gi thnh n v (Y).

    + Trong Input X Range, chn vng d liu ca nng sut lao ng v nguyn vt

    liu chnh (X1 v X2).

    Lu : khi chn vng phi chn lun tiu Y v X1, X2 (v d: chn vng ca Y l

    $B$4:$B$9).

    + Trong Output Range chn vng hin th ca bng kt qu Regression (chn mt

    trng bt k).

    + Kt thc nhp chut vo OK, ta s c kt qu sau:

  • 31

    + Da vo kt qu trn ta c c h s hi quy tuyn tnh mu ti Coefficients (

    B27):

    {

    0 = 4,259259259

    1 = 0,37037037

    2 = 1,074074074

    Hm hi quy tuyn tnh th hin s ph thuc ca gi thnh n v vo nng sut

    lao ng v nguyn vt liu chnh l:

    = 0 + 1. 1 + 2. 2

    = 4,259259259 0,37037037. 1 + 1,074074074. 2

    - Tnh gi thnh d bo ti B10 khi chi ph qung co l 27 triu ng/thng v

    Tin lng l 52 triu ng/thng:

    + Nhp vo B10 hm sau : =B27+B28*C10+B29*D10

    + Nhp vo Decrease Decimal gim bt phn thp phn (Home trong th

    Number chn Decrease Decimal)

    *Bng kt qu:

  • 32

  • 33

    Bi 9

    Cng ty C phn X c ti sn l xe ch hng c nguyn gi l 500 triu ng, thi

    gian s dng l 8 nm. n nm th 5 xe b h phi sa cha vi chi ph l 75 triu

    ng. Lp bng khu hao ti sn c nh vi phng php ng thng, phng php

    khu hao nhanh vi t l ty chn.

    *Phng php khu hao ng thng:

    Cng thc tng qut: =SLN(cost; salvage; life)

    =SLN(nguyn gi; GTCL; thi gian SD)

    - Da vo yu cu bi ton, ta lp bng sau:

    - Nhp vo B6 hm sau: =SLN($B$1;$B$2;$B$3). Sau gi nt in v ko

    theo hng ngang t B6 n F6.

    - Nhp vo B7 hm sau: =SUM($B$6:B6). Sau gi nt in v ko theo

    hng ngang t B7 n F7.

    - Nm th 5 c chi ph sa cha l 75000000 ng.

    - Nhp vo B9 hm sau: =$B$1-B7. Sau gi nt in v ko theo hng

    ngang t B9 n E9.

    - Do nm th 5 c chi ph sa cha nn GTCL ca nm th 5 l (nguyn gi

    khu hao tch ly + chi ph sa cha).

    + Nhp vo F9 hm sau: =$B$1-F7+F8

    - GTCL ca nm th 5 chnh l nguyn gi ca nm th 6. Tnh khu hao ca

    nm th 6 nh sau:

    + Nhp vo G6 hm sau: =SLN($F$9;$B$2;3). Sau gi nt in v ko

    theo hng ngang t G6 n I6.

    - Tnh khu hao tch ly ca nm 6, 7, 8.

    + Nhp vo G6 hm sau: =SUM($B$6:G6). Sau gi nt in v ko theo

    hng ngang t G7 n I7 (hoc gi nt in B6 ko theo hng ngang

    cho n I6).

    - Tnh GTCL nm 6, 7, 8. (ly nguyn gi ban u - khu hao tch ly + chi ph

    sa cha).

    + Nhp vo G9 hm sau: =$B$1-G7+$F$8. Sau gi nt in v ko theo

    hng ngang t G9 n I9.

    *Bng kt qu

  • 34

    *Phng php khu hao nhanh vi t l ty chn:

    Cng thc tng qut: =DDB(cost; salvage; life; per; [factor])

    =DDB(nguyn gi; GTCL; thi gian SD; th t nm KH; [t l KH ty chn])

    Trong , t l khu hao ty chn

    r = 1,5 i vi TSC c TGSD 3 4 nm.

    r = 2 i vi TSC c TGSD 5 6 nm.

    r = 2,5 i vi TSC c TGSD trn 6 nm.

    *Da vo yu cu bi ton, ta lp bng sau:

    Nhp vo B12 hm sau: =DDB($B$1;;$B$3;B11;2.5). Sau gi nt in v

    ko theo hng ngang t B12 n F12.

    Nhp vo B13 hm sau: =SUM($B$12:B12). Sau gi nt in v ko theo

    hng ngang t B13 n F13.

    Nm th 5 c chi ph sa cha l 75000000 ng.

    Nhp vo B15 hm sau: =$B$1-B13. Sau gi nt in v ko theo hng

    ngang t B15 n E15.

    Do nm th 5 c chi ph sa cha nn GTCL ca nm th 5 l (nguyn gi

    khu hao tch ly + chi ph sa cha).

    + Nhp vo F15 hm sau: =$B$1-F15+F14

    GTCL ca nm th 5 chnh l nguyn gi ca nm th 6. Tnh khu hao ca

    nm th 6 nh sau:

    + Nhp vo G12 hm sau: =DDB($F$15;;3;B11;1.5). Sau gi nt in v

    ko theo hng ngang t G12 n I12.

    Tnh khu hao tch ly ca nm 6, 7, 8.

  • 35

    + Nhp vo G13 hm sau: =SUM($B$12:G12). Sau gi nt in v ko

    theo hng ngang t G13 n I13 (hoc gi nt in B13 ko theo hng

    ngang cho n I13).

    Tnh GTCL nm 6, 7, 8. (ly nguyn gi ban u - khu hao tch ly + chi ph

    sa cha).

    + Nhp vo G15 hm sau: =$B$1-G15+$F$14. Sau gi nt in v ko

    theo hng ngang t G15 n I15.

    *Bng kt qu

  • 36

    Bi 10

    Mt cng ty xy dng vay tin ngn hng ABC 8 t ng vi li sut 9%/ nm, tr

    n 4 k, nh k 6 thng/ln. Tin thc hin d n nh sau:

    Ngy 01/01/2014 ngn hng gii ngn 3 t

    Ngy 01/09/2014 ngn hng gii ngn 3 t

    Ngy 30/06/2015 ngn hng gii ngn 2 t

    Ngy 15/07/2014 cng trnh hon thnh v nghim thu.

    Yu cu: Tnh li thi cng ca d n m cng ty phi tr.

  • 37

    Bi 11

    Doanh nghip A c cc phng n sau:

    - Phng n 1: u t my t ng ch bin bn kh vi gi 16550 triu ng. Vi

    d tnh sn xut ko di trong 5 nm c cc khon thu trong tng nm nh sau:

    - Phng n 2: mua tri phiu chnh ph vi li sut 12%. Hy t vn cho doanh

    nghip A nn chn phng n no (b qua yu t ri ro)?

    *Tnh gi tr hin ti thun ca d n 1

    - Nhp vo B6 hm sau: =NPV(B3;C4:G4)-B2

    Vi NPV ca d n = GTHT ca dng tin thu vo GTHT ca dng tin chi ra

    - Ta c bng kt qu

    D n 1 khng kh thi v NPV ca d n m, vy nn u t d n 2.

  • 38

    Bi 12

    Cng ty c d n vi vn u t ban u ca d n l 20 t ng, cui nm 1 l 16

    t ng, sau thu hi cho n ht nm th 13 nh sau: nm th 3: 2 t, nm th 4: 4

    t, nm th 5: 6 t, nm th 6: 8 t, nm th 7: 10 t, nm th 8: 12 t, nm th 9: 10

    t, nm th 10: 8 t, nm th 11: 6 t, nm th 12: 4 t v nm th 13: 2 t ng.

    Hin ti, cng ty ang cn nhc d n ny vi mt d n khc vi t sut li nhun

    8%/nm. Vy Cng ty nn u t vo d n no?

    *Da vo d liu bi ton ta thit lp bng sau:

    - tnh ngn lu rng ta ly doanh thu tr chi ph:

    + Nhp vo C4 hm sau: =C3-C2 . Sau gi nt in v ko theo hng

    ngang t C4 n O4.

    - Tnh NPV ca d n

    - Tnh ch s IRR (khi NPV > 0, d n kh thi)

    *Bng kt qu

  • 39

    Ta thy NPV > 0 nn d n c kh thi v IRR > 8% nn quyt nh u t vo d

    n l hp l.

  • 40

    Bi 13

    Mt cng ty du lch t chc chuyn du lch Mi N Phan Thit c s liu nh

    sau: Chi ph c nh l 45.000.000 ng; gi cho mt ngi (1 sut) l 1.750.000

    ng; chi ph bin i ca mt chuyn i l 95% cho mi ngi. Vy cng ty cn bn

    bao nhiu sut ha vn?

    *Da vo d liu bi ton ta thit lp bi ton dng nh sau:

    - B5 l sn lng cn tm (ta in vo ny mt gi tr bt k).

    - Khi c sn lng th ta hon thnh cc B7, B8 v B10 da vo cc cng

    thc ti chnh hc (cc ny c gi tr ph thuc vo sn lng).

    + Nhp vo B7 hm sau: =B2+B4*B3*B5

    + Nhp vo B8 hm sau: =B3*B5

    + Nhp vo B10 hm sau: =B8-B7

    ha vn th li nhun phi bng 0. S dng cng c Goal Seek tm sn

    lng ha vn:

    Data trong th Data Tools chn What - If Analysis Goal Seek hp thoi

    Goal Seek xut hin

    Trong Set cell chn c gi tr mc tiu (li nhun bng 0, B10).

    Trong To value g gi tr mc tiu cn t c (0).

    Trong By changing cell chn c gi tr thay i c ( B5, chnh l sn

    lng ha vn).

    Sau nhp vo OK ta thy xut hin hp thoi Goal Seek Status nhp

    vo OK ta s thy kt qu

  • 41

    Vy cng ty cn bn 515 sut th ha vn.

  • 42

    Bi 14

    Mt doanh nghip c s liu sn xut trong k l 15.000 sn phm v tiu th

    12.000 sn phm. Gi bn n v sn phm l 500.000 ng, bin ph n v sn

    phm l 250.000 ng. Tng chi ph c nh chi ra trong k l 2.000.000.000 ng.

    Cu a: Xc nh im ha vn?

    *Da vo d liu bi ton ta thit lp bi ton dng nh sau:

    - B6 l sn lng ha vn cn tm (ta in vo ny mt gi tr bt k).

    - Khi c sn lng th ta hon thnh cc B9, B10 v B12 da vo cc cng

    thc ti chnh hc (cc ny c gi tr ph thuc vo sn lng).

    + Nhp vo B7 hm sau: =B2+B4*B6

    + Nhp vo B8 hm sau: =B3*B6

    + Nhp vo B10 hm sau: =B10-B9

    ha vn th li nhun phi bng 0. S dng cng c Goal Seek tm sn

    lng ha vn:

    Data trong th Data Tools chn What - If Analysis Goal Seek hp thoi

    Goal Seek xut hin

    Trong Set cell chn c gi tr mc tiu (li nhun bng 0, B12).

    Trong To value g gi tr mc tiu cn t c (0).

  • 43

    Trong By changing cell chn c gi tr thay i c ( B6, chnh l sn

    lng ha vn).

    Sau nhp vo OK ta thy xut hin hp thoi Goal Seek Status nhp vo

    OK ta s thy kt qu

    Vy cng ty cn sn xut 8000 sn phm th ho vn.

    Cu b: Xc nh li thc ca doanh nghip?

    Nhp vo B15 hm sau: =B7*B3-B2-B4*B5

    Cu c: Cho thu sut thu nhp doanh nghip l 22%. Xc nh thu thu nhp

    DN phi np?

    Nhp vo B14 hm sau: =B15*B13

    *Bng kt qu:

  • 44

    Bi 15

    Cho cc s liu sau y

    STT Thit b S lng n gi

    1 My ch 01 25.000.000

    2 My trm 40 17.000.000

    3 Bn gh 41 400.000

    4 Thit b mng, in 10.000.000

    5 Chi ph khc 5.000.000

    Chi ph mi lp 40 hc vin, 45 tit

    STT Thit b n gi

    1 Th lao ging vin/tit 120.000

    2 Chi ph in, /lp 7.000.000

    3 Chi ph qun l lp 1.200.000

    4 Bin ph khc cho mi lp 3.000.000

    Gi s hc ph cho 1 lp ca mi hc vin 900.000 ng. Yu cu:

    Nu mi nm m c 20 lp th sau bao nhiu nm mi thu hi vn?

    Gi s m c 200 lp, c li nhun 100.000.000 ng th hc ph l bao

    nhiu?

    * Nu mi nm m c 20 lp th sau bao nhiu nm mi thu hi vn?

    +Bng nhp liu bi ton nh sau:

  • 45

    Trong ct Thnh tin, ta tnh ton da vo n gi v s lng hoc s lp, s tit

    hc tng ng.

    Trong B18 chnh l nm thu hi vn cn tm (ta nhp mt gi tr bt k vo

    ny).

    Bng tnh ton ct Thnh tin nh sau:

    Trong D20 (Li nhun), nhp hm nh sau:

    =D17*B18-SUM(D3:D7)-SUM(D9:D12)*B18

    thu hi vn th li nhun phi bng 0. S dng cng c Goal Seek tm nm

    thu hi vn:

    Data trong th Data Tools chn What - If Analysis Goal Seek hp thoi

    Goal Seek xut hin

    Trong Set cell chn c gi tr mc tiu (li nhun bng 0, D20).

    Trong To value g gi tr mc tiu cn t c (0).

    Trong By changing cell chn c gi tr thay i c ( B18, chnh l nm

    thu hi vn).

    Sau nhp vo OK ta thy xut hin hp thoi Goal Seek Status nhp vo

    OK ta s thy kt qu

  • 46

    Vy nu mi nm m c 20 lp th sau 1,9 nm (khong 23 thng) th s thu hi

    c vn.

    *Gi s m c 200 lp, c li nhun 100.000.000 ng th hc ph l bao

    nhiu?

    +Bng nhp liu bi ton nh sau:

  • 47

    Trong B16 ta g 200 (s lp), B18 ta g 1 (s nm u t).

    Trong B17 chnh l hc ph mi hc vin (ta nhp mt gi tr bt k vo ny).

    Trong D20 (Li nhun), nhp hm nh sau:

    =D17*B18-SUM(D3:D7)-SUM(D9:D12)*B18

    t li nhun l 100.000.000 ng, s dng cng c Goal Seek tm hc ph

    ca mi hc vin phi np:

    Data trong th Data Tools chn What - If Analysis Goal Seek hp thoi

    Goal Seek xut hin

    Trong Set cell chn c gi tr mc tiu (li nhun bng 100 triu ng,

    D20).

    Trong To value g gi tr mc tiu cn t c (100000000).

    Trong By changing cell chn c gi tr thay i c ( C17, chnh hc

    ph/hc vin).

    Sau nhp vo OK ta thy xut hin hp thoi Goal Seek Status nhp vo

    OK ta s thy kt qu

  • 48

    Vy nu m c 200 lp, c li nhun 100.000.000 ng th hc ph mi hc

    vin l 519550 ng.

  • 49

    Bi 16

    Cng ty C phn X sn xut dng sn phm mi l dy in t. Cng ty mun thu

    20% li nhun trong nm u tin vi gi thuyt s liu c cho nh sau: Trong

    nm u tin ny s bn c 100 tn dy in t (100.000 kg). Mc chit khu trung

    bnh cho cc i l l 10%. Tng chi ph c nh l 4 t ng v chi ph cho mi sn

    phm l 120.000ng. Cho bit gi bn cng ty c th t li nhun 20% trong

    nm u tin.

    *Da vo d liu bi ton ta lp c bng sau:

    - B6 l gi bn cn tm (ta in vo ny mt gi tr bt k).

    - Khi c gi bn th ta hon thnh cc B8, B9 v B11 da vo cc cng thc

    ti chnh hc (cc ny c gi tr ph thuc vo gi bn).

    + Nhp vo B8 hm sau: =B2+B3*B4

    + Nhp vo B9 hm sau: =B4*B6-B4*B6*B5

    + Nhp vo B11 hm sau: =((B9-B8)/B9)*100

    thu 20% li nhun trong nm u tin th t l (li nhun/doanh thu) phi bng

    20%. S dng cng c Goal Seek tm gi bn tng ng:

  • 50

    Data trong th Data Tools chn What - If Analysis Goal Seek hp thoi

    Goal Seek xut hin

    Trong Set cell chn c gi tr mc tiu (li nhun/doanh thu bng 20%,

    B11).

    Trong To value g gi tr mc tiu cn t c (20).

    Trong By changing cell chn c gi tr thay i c ( B6, chnh l gias

    bn).

    Sau nhp vo OK ta thy xut hin hp thoi Goal Seek Status nhp vo

    OK ta s thy kt qu

    Vy gi bn 222.223 /kg th cng ty c th t li nhun 20% trong nm u tin.

  • 51

    Bi 17

    Doanh nghip PC WORD ang d kin tung ra mt sn phm mi. S liu t b

    phn ti chnh k ton cho bit sn phm mi c d kin bn vi gi $1100. sn

    xut, cn u t mt thit b mi vi gi $300.000; tng nh ph khc l $100.000,

    chi ph sn xut ra mt sn phm l $500. Ban gim c cn ang lng l v

    quyt nh cui cng. B phn tip th v bn hng cho bit s lng bn d kin cho

    nm ti c th t 500 ti 1100 sn phm. Hi: Li nhun trong trng xu nht v tt

    nht l bao nhiu?

    *Da vo d liu bi ton ta thnh lp c bng sau:

    - Trong bin sn lng c gi tr thay i c nn ta in mt gi tr bt k

    vo y ( B5).

    - Khi c sn lng th ta hon thnh cc B7 v B8 da vo cc cng thc ti

    chnh hc (cc ny c gi tr ph thuc vo sn lng).

    + Nhp vo B7 hm sau: ==B2+B3+B4*B5

    Sau gi nt in v ko theo hng ngang t B9 n D9.

    + Nhp vo B8 hm sau: =B5*B6

    Sau gi nt in v ko theo hng ngang t B10 n D10.

    + Nhp vo B9 hm sau: =B8-B7

    bit li nhun trong hai trng hp xu nht v tt nht ta s dng cng c

    Scenario:

  • 52

    Data trong th Data Tools chn What - If Analysis Scenario Manager

    hp thoi Scenario Manager xut hin chn Add thm cc trng hp

    + Hp thoi Add Scenario xut hin

    + Trong Scenario name: g tn trng hp u tin.

    + Trong Changing cells: chn c gi tr thay i ( B5, chnh l sn lng).

    + Sau nhp vo OK hp thoi Scenario Value xut hin ta in vo gi tr

    bt k

  • 53

    + Nhp vo OK xut hin li hp thoi Add Scenario Chn Add thm

    trng hp tip theo

    + Trong Scenario name: g tn trng hp xu nht.

    + Trong Changing cells: gi nguyn, khng thay i.

    + Sau nhp vo OK hp thoi Scenario Value xut hin ta in vo gi tr

    sn lng trong trng hp xu nht

    + Nhp vo OK xut hin li hp thoi Add Scenario Chn Add thm

    trng hp tip theo

  • 54

    + Trong Scenario name: g tn trng hp tt nht.

    + Trong Changing cells: gi nguyn, khng thay i.

    + Sau nhp vo OK hp thoi Scenario Value xut hin ta in vo gi tr

    sn lng trong trng hp tt nht

    + Nhp vo OK xut hin li hp thoi Add Scenario Chn Summary

    xem kt qu

  • 55

    + Hp thoi Scenario Summary xut hin chn Scenario summary xem kt

    qu

    + Trong Result cell chn mc tiu (B9 l li nhun), ta c kt qu nh sau:

    - Hoc ta c th xem kt qu dng khc bng cch chn Scenario PivotTable report

    trong hp thoi Scenario Summary

  • 56

    + Nhp vo OK ta c bng kt qu nh sau:

    Vy trong trng hp xu nht l bn c 500 sn phm th doanh nghip s l

    100.000$, trng hp tt nht l bn c 1100 sn phm th doanh nghip s li

    260.000$.

  • 57

    Bi 18

    Cng ty XYZ sn xut bn go kh vi cc s liu sau: (vt: VN ng)

    My ch bin 16.550.000

    Thit b in 8.000.000

    Chi ph thit b khc 2.500.000

    Nguyn liu 1 tn sn phm 1.550.000

    Bao b/1 tn sn phm 900.000

    Gi bn 1 tn 2.650.000

    Cu 1: Hy tnh sn lng bn go kh sn xut v tiu th cng ty XYZ ha

    vn?

    *Da vo d liu bi ton ta thnh lp c bng d liu nh sau:

    - B8 l sn lng ha vn cn tm (ta in vo ny mt gi tr bt k).

    - Khi c sn lng th ta hon thnh cc B10, B11 v B13 da vo cc cng

    thc ti chnh hc (cc ny c gi tr ph thuc vo sn lng).

    + Nhp vo B10 hm sau: =B2+B3+B4+B5*B8+B6*B8

    + Nhp vo B11 hm sau: =B7*B8

    + Nhp vo B13 hm sau: =B11-B10

  • 58

    ha vn th li nhun phi bng 0. S dng cng c Goal Seek tm sn

    lng ha vn:

    Data trong th Data Tools chn What - If Analysis Goal Seek hp thoi

    Goal Seek xut hin

    Trong Set cell chn c gi tr mc tiu (li nhun bng 0, B13).

    Trong To value g gi tr mc tiu cn t c (0).

    Trong By changing cell chn c gi tr thay i c ( B8, chnh l sn

    lng ha vn).

    Sau nhp vo OK ta thy xut hin hp thoi Goal Seek Status nhp vo

    OK ta s thy kt qu

  • 59

    Vy cng ty ha vn th phi sn xut v tiu th 135 tn bn go kh.

    Cu 2: Gi s cng ty sn xut v tiu th 100 tn/thng, hy tnh li nhun

    trc thu nu gi bn dao ng t 2.800.000 n 3.500.000/tn.

    Ta in vo sn lng B8 gi tr l 100 tn/thng, sau lp thm bng nh

    hnh di y:

    Trong , B17 (mu vng) ta nhp hm sau: =B13.

    + Tip theo chn vng t B16 n J17 Data trong th Data Tools chn

    What-If Analysis Data Table

    + Hp thoi Data Table xut hin trong Row input cell chn c gi tr thay

    i trn bng d liu ( gi bn, B7)

  • 60

    + Sau nhp vo OK ta c bng kt qu

    Cu 3: Hy tnh li nhun trc thu nu sn lng sn xut v tiu th dao

    ng t 100 tn n 170 tn.

    Ta lp thm bng nh hnh di y:

    Trong , C21 (mu vng) ta nhp hm sau: =B13.

    + Tip theo chn vng t B21 n C29 Data trong th Data Tools chn

    What-If Analysis Data Table

    + Hp thoi Data Table xut hin trong Column input cell chn c gi tr

    thay i trn bng d liu ( sn lng, B8)

  • 61

    + Sau nhp vo OK ta c bng kt qu

    Cu 4: Hy tnh li nhun trc thu khi gi bn dao ng t 2.800.000 n

    3.500.000, sn lng sn xut v tiu th dao ng t 100 tn n 170 tn.

    Ta lp thm bng nh hnh di y:

  • 62

    Trong , B32 (mu vng) ta nhp hm sau: =B13.

    + Tip theo chn vng t B32 n J40 Data trong th Data Tools chn

    What-If Analysis Data Table

    + Hp thoi Data Table xut hin trong Row input cell chn c gi tr thay

    i trn bng d liu ( gi bn, B7); trong Column input cell chn c gi tr thay

    i trn bng d liu ( sn lng, B8)

    + Sau nhp vo OK ta c bng kt qu

  • 63

  • 64

    Bi 19

    Cng ty CP Thanh Nin bn cn h tr gp ti Chung c Hamona ng Trng

    Cng nh, qun Tn Bnh vi cc loi cn h (vt: triu ng)

    Din tch (m2) n gi

    Cn h loi 1 3 PN 150 18

    Cn h loi 2 3 PN 120 16

    Cn h loi 3 3 PN 91 15

    Cn h loi 1 2 PN 87 18

    Cn h loi 2 2 PN 85 16

    Cn h loi 3 2PN 80 15

    Ngn hng Agribank h tr cho vay vi li sut tin vay c nh 11%/nm, thi

    gian vay ti a 20 nm v s tin vay ti a l 80% tr gi cn h.

    1. Hy tnh s tin gp u hng thng ca tng loi cn h vi thi gian tr gp l

    5 nm, 10 nm, 15 nm v 20 nm.

    2. Trong trng hp khch hng mua cn h loi 1 3PN tr gp trong 10 nm v

    cho thu, mi thng tin thu thu c l 15 triu v n cui nm th 10 s sang

    nhng cn h vi gi tng 20%. Nh vy khch hng c th u t c khng? thu

    li mi nm l bao nhiu (NPV) v sut sinh li mi nm (IRR) l bao nhiu?

    Cu 1: Hy tnh s tin gp u hng thng ca tng loi cn h vi thi gian

    tr gp l 5 nm, 10 nm, 15 nm v 20 nm.

    *T d liu bi ta tnh c tr gi cn h v s tin vay tng ng nh sau:

    - Nhp vo D3 hm sau: =B3*C3

    + Gi nt in v ko theo hng dc t D3 n D8.

    - Nhp vo E3 hm sau: =D3*80%

    + Gi nt in v ko theo hng dc t E3 n E8.

    tnh c s tin gp u hng thng ta cn 3 i s cho hm PMT

    + Li sut (rate): 11%

  • 65

    + Thi gian tr gp (nper): c gi tr thay i c (ti a l 20 nm) ta nhp

    vo B11 gi tr bt k ( 20).

    + S tin vay cn h (pv): c gi tr thay i ty thuc vo loi cn h ta nhp

    vo B12 s tin vay ca 1 cn h bt k.

    Trong B13 ta dng hm PMT nh sau: =-PMT(B10/12;B11*12;B12)

    Dng cng c Data Table tm nhy cho hai yu t thay i.

    Trong , C17 (mu cam) ta nhp hm sau: =B13.

    + Tip theo chn vng t C17 n G23 Data trong th Data Tools chn

    What-If Analysis Data Table

    + Hp thoi Data Table xut hin trong Row input cell chn c gi tr thay

    i trn bng d liu ( thi gian tr gp, B11); trong Column input cell chn c

    gi tr thay i trn bng d liu ( s tin vay cn h, B12).

  • 66

    + Nhp vo OK trong hp thoi Data Table ta s c c bng kt qu nh sau:

    Cu 2: Trong trng hp khch hng mua cn h loi 1 3PN tr gp trong

    10 nm v cho thu, mi thng tin thu thu c l 15 triu v n cui nm

    th 10 s sang nhng cn h vi gi tng 20%. Nh vy khch hng c th u

    t c khng? thu li mi nm l bao nhiu (NPV) v sut sinh li mi nm

    (IRR) l bao nhiu?

    *Ta thnh lp bng cho cu b nh sau:

  • 67

    Nhp s tin bn cn h cui nm 10 ( B27) hm nh sau: =D3*120% (v gi

    tng 20%).

    Trong Vn u t ban u (B30) ta nhp hm sau: =D3*20% (v ngn hng

    ch cho vay ti a 80% tr gi cn h nn ta phi b ra s vn chim 20%).

    Trong cc Vn u t cn li t nm 1 n nm 10 ta ch cn ly s tin tr

    gp hng thng trong vng 10 nm ca cn h loi 1 3 PN nhn thm cho 12

    thng, hm nh sau: =$E$18*12

    Khon thu t vic cho thu cn h, ta nhp vo C31 hm sau: =15*12 (v tin

    cho thu mi thng l 15 triu ng nn 1 nm s thu c l 15*12 triu ng).

    Khon thu t vic bn cn h cui nm 10, ta nhp vo L32 hm sau: =B27

    Tip theo ta tnh dng cn i trong B33 bng hm nh sau: =B31+B30-B29.

    Gi nt in v ko theo hng ngang t B33 n L33.

    Tnh ch s NPV ca d n, ta nhp vo B35 hm sau: =B33+NPV(11%;C33:L33)

    Ta c bng kt qu

  • 68

    Bi 20

    h tr cho nhn vin, cng ty t Lnh c chng trnh bn cn h tr gp cho

    nhn vin c thm nin cng tc t 5 nm tr ln, cn h c din tch 100 m2, 3

    phng ng ti tng 9, vi gi l 1,1 t VN, li sut c nh hng nm l 8,5%, tr

    gp trong vng 20 nm.

    a. Hy xc nh s tin gp u hng thng trong trng hp tr trc. Cho bit c

    th s tin tr vn, tr li tng thng.

    b. Trong trng hp Cng ty quy nh t l tr trc dao ng trong khong 20% -

    30% tr gi cn h, thi gian gp t 10 nm 20 nm, hy xc nh s tin gp u

    hng thng.

    c. Nhn vin Kiu Trang ng k vi s tin tr trc l 20% tr gi cn h v hnh

    thc gp u hng thng, thi gian gp 15 nm.

    - Cho bit s tin b phi tr tng thng.

    - B tr c 10 nm, n nm th 11 b mun tr dt im. Xc nh s tin

    phi tr?

    *Nhp d liu cho bi ton:

    Cu a: S tin gp u hng thng trong trng hp tr trc. Cho bit c

    th s tin tr vn, tr li tng thng.

    Lp bng tnh s tin gp u hng thng trong vng 20 nm (240 thng).

  • 69

    .

    .

    .

    Nhp vo B8 hm sau: =-IPMT($B$2/12;A8;$B$3*12;$B$4)

    Sau gi nt in v ko theo hng dc t B8 n B261 (t thng u

    tin n thng 240).

    Nhp vo C8 hm sau: =-PPMT($B$2/12;A8;$B$3*12;$B$4)

    Sau gi nt in v ko theo hng dc t C8 n C261.

    Nhp vo D8 hm sau: =-PMT($B$2/12;$B$3*12;$B$4)

    Sau gi nt in v ko theo hng dc t D8 n D261.

    Kt qu

    ...

  • 70

    Cu b: Trong trng hp Cng ty quy nh t l tr trc dao ng trong

    khong 20% - 30% tr gi cn h, thi gian gp t 10 nm 20 nm, hy xc

    nh s tin gp u hng thng.

    *Dng cng c Data Table xc nh s tin gp u hng thng c ph thuc

    vo 2 i lng c gi tr thay i. Ta lp bng cho cu b nh sau:

    - Trong T l tr trc (G7) nhp mt gi tr bt k nh yu cu ca bi dao

    ng trong khong 20% n 30%.

    - Trong G8 ta tnh s tin gp u hng thng c tr trc theo t l nhp

    G7, ta g vo G8 hm sau: =-PMT(B2/12;B3*12;(B4-B4*G7))

    - Trong G11 (mu cam) ta nhp hm sau: =G8

  • 71

    + Tip theo chn vng t G11 n J14 Data trong th Data Tools chn

    What-If Analysis Data Table

    + Hp thoi Data Table xut hin trong Row input cell chn c gi tr thay

    i trn bng d liu ( s nm tr gp, B3); trong Column input cell chn c gi

    tr thay i trn bng d liu ( t l tr trc, G7)

    + Sau nhp vo OK ta c bng kt qu

  • 72

    Cu c: Nhn vin Kiu Trang ng k vi s tin tr trc l 20% tr gi cn

    h v hnh thc gp u hng thng, thi gian gp 15 nm.

    - Cho bit s tin b phi tr tng thng.

    - B tr c 10 nm, n nm th 11 b mun tr dt im. Xc nh s

    tin phi tr?

    *Da vo cu b ta thy nu nhn vin Kiu Trang ng k vi s tin tr trc l

    20% tr gi cn h v gp u hng thng vi thi gian 15 nm th b phi tr u

    hng hng vi s tin l 8.665.708 ng (hn 8,66 triu ng).

    *Nm th 11 b mun tr dt im th:

    Nhp vo B264 hm sau:

    =-CUMPRINC(B2/12;15*12;B4*80%;1;120;0)+1.1*20%

    Nhp vo B265 hm sau: =B4-B264

    Nhp vo B266 hm sau: =-IPMT(B2/12;121;15*12;B4*80%)

    Nhp vo B267 hm sau: =B265+B266

    *Bng kt qu nh sau:

    Vy n nm th 11 b tr dt im vi s tin l 425.369.000 ng (hn 425 triu

    ng).

  • 73

    Bi 21

    Anh Ba d tnh mun mua tr gp mt cn nh tr gi 2 t ng. Ngi bn nh ni

    rng, anh Ba ch cn tr trc cho h 20% tr gi nh, phn cn li tr gp trong vng

    20 nm, vi li sut khng i 6% nm. Tuy nhin h cn ni rng, c th gim hoc

    tng s tin tr trc, cng nh thi hn vay, v nu thch th mi thng bn c th tr

    thm cho h bao nhiu (tr vo tin gc) gim bt s tin li. Anh Ba ang

    lng l mua gp vi 3 phng n:

    tr trc 20% v tr trong 20 nm.

    tr trc 15% v tr trong 17 nm.

    tr trc 25% v tr trong 12 nm.

    Hy gip anh Ba xem nn chn phng n no?

    *Da vo bi ta thit lp bi ton nh sau:

    - Trong B4 v B5 ta nhp gi tr bt k tng ng vi 3 phng n bi cho.

    - Nhp vo B6 hm sau: =B2*(1-B5) hoc =B2-B2*B5

    - Nhp vo B8 hm sau: =-PMT(B3;B4;B6)

    - Nhp vo B9 hm sau: =-PMT(B3/12;B4*12;B6)

    tm phng n tt nht ta s dng cng c Scenario:

  • 74

    Data trong th Data Tools chn What - If Analysis Scenario Manager

    hp thoi Scenario Manager xut hin chn Add thm cc trng hp

    + Hp thoi Add Scenario xut hin

    + Trong Scenario name: g tn trng hp u tin.

    + Trong Changing cells: chn c gi tr thay i ( B4:B5, chnh l thi gian

    tr gp v t l tr trc).

    + Sau nhp vo OK hp thoi Scenario Value xut hin ta in vo gi tr

    ca trng hp 1.

  • 75

    + Nhp vo OK xut hin li hp thoi Add Scenario Chn Add thm

    trng hp tip theo

    + Trong Scenario name: g tn Trng hp 2.

    + Trong Changing cells: gi nguyn, khng thay i.

    + Sau nhp vo OK hp thoi Scenario Value xut hin ta in vo gi tr

    ca trng hp 2

    + Nhp vo OK xut hin li hp thoi Add Scenario Chn Add thm

    trng hp tip theo

  • 76

    + Trong Scenario name: g tn Trng hp 3.

    + Trong Changing cells: gi nguyn, khng thay i.

    + Sau nhp vo OK hp thoi Scenario Value xut hin ta in vo gi tr

    ca trng hp 3

    + Nhp vo OK xut hin li hp thoi Add Scenario Chn Summary

    xem kt qu

  • 77

    + Hp thoi Scenario Summary xut hin chn Scenario summary xem kt

    qu

    + Trong Result cell chn mc tiu (B8;B9 l s tin tr gp), ta c kt qu

    nh sau:

  • 78

    - Hoc ta c th xem kt qu dng khc bng cch chn Scenario PivotTable report

    trong hp thoi Scenario Summary

    + Nhp vo OK ta c bng kt qu nh sau:

    Vy nu anh Ba mun tr gp u hng nm th chn phng n 2 l tt nht, cn

    nu tr gp u hng thng th chn phng n 3 l tt nht.

  • 79

    Bi 22

    Mt cng ty mun a ra mt dng sn phm mi, cng ty d kin bin ph cho

    mi sn phm 12.630 ng, mc chit khu trung bnh cho cc i l l 30%. Hy

    tnh li nhun trc thu ca cng ty trong cc trng hp sau:

    a. Sn lng tiu th hng thng l 30.000 sn phm, gi bn mi sn phm l

    35.000 ng, chi ph c nh hng thng l 170.000.000 ng.

    b. Sn lng tiu th hng thng l 32.000 sn phm, gi bn mi sn phm l

    33.000 ng, chi ph c nh hng thng l 200.000.000 ng.

    c. Sn lng tiu th hng thng l 20.000 sn phm, gi bn mi sn phm l

    38.000 ng, chi ph c nh hng thng l 250.000.000 ng.

    d. Sn lng tiu th hng thng l 35.000 sn phm, gi bn mi sn phm l

    32.000 ng, chi ph c nh hng thng l 220.000.000 ng.

    *Da vo bi ta thit lp bi ton nh sau:

    - Trong B4, B5 v B6 ta nhp gi tr bt k tng ng vi 4 phng n bi

    cho.

    - Nhp vo B8 hm sau: =B2*B4+B6

    - Nhp vo B9 hm sau: =B5*B4*(1-B3)

    - Nhp vo B11 hm sau: =B9-B8

  • 80

    tm phng n tt nht ta s dng cng c Scenario:

    Data trong th Data Tools chn What - If Analysis Scenario Manager

    hp thoi Scenario Manager xut hin chn Add thm cc trng hp

    + Hp thoi Add Scenario xut hin

  • 81

    + Trong Scenario name: g tn trng hp u tin.

    + Trong Changing cells: chn c gi tr thay i ( B4:B6, chnh l sn lng,

    gi bn v nh ph).

    + Sau nhp vo OK hp thoi Scenario Value xut hin ta in vo ny

    gi tr ca trng hp a

    + Nhp vo OK xut hin li hp thoi Add Scenario Chn Add thm

    trng hp tip theo

  • 82

    + Trong Scenario name: g tn Trng hp b.

    + Trong Changing cells: gi nguyn, khng thay i.

    + Sau nhp vo OK hp thoi Scenario Value xut hin ta in vo gi tr

    ca trng hp b

    + Nhp vo OK xut hin li hp thoi Add Scenario Chn Add thm

    trng hp tip theo

  • 83

    + Trong Scenario name: g tn Trng hp c.

    + Trong Changing cells: gi nguyn, khng thay i.

    + Sau nhp vo OK hp thoi Scenario Value xut hin ta in vo gi tr

    ca trng hp c

    + Nhp vo OK xut hin li hp thoi Add Scenario Chn Add thm

    trng hp tip theo

  • 84

    + Trong Scenario name: g tn Trng hp d.

    + Trong Changing cells: gi nguyn, khng thay i.

    + Sau nhp vo OK hp thoi Scenario Value xut hin ta in vo gi tr

    ca trng hp d

    + Nhp vo OK xut hin li hp thoi Add Scenario Chn Summary

    xem kt qu

  • 85

    + Hp thoi Scenario Summary xut hin chn Scenario summary xem kt

    qu

    + Trong Result cell chn mc tiu (B11 l li nhun), ta c kt qu nh sau:

    - Hoc ta c th xem kt qu dng khc bng cch chn Scenario PivotTable report

    trong hp thoi Scenario Summary

  • 86

    + Nhp vo OK ta c bng kt qu nh sau:

    Vy trng hp a li nhun trc thu cao nht.

  • 87

    Bi 23

    Khch sn Hong Yn lp phng n thit k cc phng ca khch sn mi xy

    dng theo cc loi A, B, C v Delux. Tng s phng ca khch sn l 55 phng. S

    phng ti thiu cho mi loi l 4, S phng ti a cho loi C l 10 v loi Delux l 6.

    Tng s vn u t ti a trang tr phng l 500.000 USD.

    Cc thng s khc lin quan n loi phng nh sau:

    Delux A B C

    Chi ph trang tr 1 phng (s dng 1 nm) 20.500 12.400 7.200 5.200

    Chi ph phc v phng (ngy) 25 12 7 4

    Gi thu 1 ngy 160 100 70 60

    Thu sut theo loi phng 20% 20% 20% 20%

    Cng sut thu phng 1 nm 280 ngy 300 ngy 300 ngy 325 ngy

    Hy tnh s phng b tr cho mi loi l bao nhiu li gp trong 1 nm ca

    khch sn t gi tr ti a. Cho bit:

    Li gp = tng doanh thu (tng chi ph trang tr + chi ph phc v) thu

    Tng doanh thu = tng doanh thu ca 4 phng

    Doanh thu phng = gi thu phng * s phng * cng sut thu 1 nm

    Chi ph phc v 1 nm = ph phc v phng (ngy) * cng sut thu phng *

    s phng

    Thu = thu sut * doanh thu

    *Thit lp m hnh bi ton

    Gi 1, 2, 3, 4 ln lt l s phng cho mi loi Delux, A, B v C.

    Hm mc tiu:

    Li gp = [tng doanh thu (tng chi ph trang tr + chi ph phc v) thu] max

    Rng buc:

    {

    1 + 2 + 3 + 4 = 55205001 + 124002 + 72003 + 52004 50000

    4 1 64 24 3

    4 4 10

    *Gii bi ton bng phn mm Excel

  • 88

    Trong F15 l gi tr hm mc tiu cn tm v t F17 n F22 l gi tr

    tng ca cc rng buc.

    Theo bi ta c:

    Li gp hay li nhun mc tiu = tng doanh thu (tng chi ph trang tr + chi ph

    phc v) thu

    Ta cn to cc dng tnh ton bao gm: Tng doanh thu, Tng chi ph trang tr, Chi

    ph phc v v Thu tnh c Li nhun mc tiu cn tm.

    Vi dng s 10 l s phng li nhun cc i th ta khng cn nhp gi tr (hoc

    nhp gi tr 0 ht cho tt c cng c, khi dng hm solver cng c ny s tm n

    chnh xc gi tr ca n).

    Nhp vo B11 (Doanh thu phng = gi thu phng * s phng * cng sut

    thu 1 nm) hm nh sau: =B5*B7*B10

    + Sau giu nt in v ko theo hng ngang t B11 n E11.

    Nhp vo B12 (Tng chi ph trang tr = chi ph trang tr 1 phng * s phng)

    hm nh sau: =B3*B10

    + Sau giu nt in v ko theo hng ngang t B12 n E12.

    Nhp vo B13 (Chi ph phc v 1 nm = ph phc v phng (ngy) * cng

    sut thu phng * s phng) hm nh sau: =B4*B7*B10

    + Sau giu nt in v ko theo hng ngang t B13 n E13.

    Nhp vo B14 (Thu = thu sut * doanh thu) hm nh sau: =B11*B6

    + Sau giu nt in v ko theo hng ngang t B14 n E14.

    Nhp vo B15 (Li nhun mc tiu = tng doanh thu (tng chi ph trang tr +

    chi ph phc v) thu) hm nh sau: =B11-(B12+B13)-B14

    + Sau giu nt in v ko theo hng ngang t B15 n E15.

    Nhp vo F15 (mu ) hm tng ca li nhun mc tiu: =sum(B15:E15)

    *Tip theo l nhp cc rng buc v gi tr tng cc rng buc

    Nhp vo F17 hm sau: =B17*$B$10+C17*$C$10+D17*$D$10+E17*$E$10

    + Sau gi nt in v ko theo hng dc t F17 n F22.

  • 89

    Trong vng ti thiu, ti a v bng nhp cc gi tr m gi tr tng rng buc c

    th t c.

    *Thm chc nng Solver vo Excel nh sau (nu my bn cha c):

    - File Option Add-Ins Solver Add-in Go Solver Add-in OK.

    *M chc nng Solver ln v thc hin cc thao tc:

    - Data trong th Analysis chn Solver hp thoi Solver Parameters xut hin:

    + Trong Set Objective chn a ch hm mc tiu ( F15)

    + Trong phn To: chn gi tr k vng hm mc tiu (Max)

    + Trong By Changing Variable Cells chn a ch cc bin thay i (B10:E10)

    + Trong Subject to the Constraints: hin th cc iu kin rng buc ca bi ton:

    Rng buc 1: $B$10:$E$10 = integer (s phng phi l s nguyn)

    Rng buc 2: $F$17 = $I$11

    Rng buc 3: $F$18 $H$18

    Rng buc 4: $F$19 $H$19

  • 90

    Rng buc 5: $F$19 $G$19

    Rng buc 6: $F$20 $G$19

    Rng buc 7: $F$21 $G$21

    Rng buc 8: $F$22 $H$22

    Rng buc 9: $F$22 $G$22

    - hin th cc rng buc ta nhp chut vo Add hp thoi Add Constraint

    xut hin ln lt add 9 rng buc trn Cancel.

    - Quay v hp thoi Solver Parameters, nhp vo Solver hp thoi Solver

    Result xut hin.

    Nhp chut vo Answer OK ta s c bng kt qu.

  • 91

    Vy s phng cn b tr cho tng loi t li nhun cc i l loi Delux 4 phng,

    loi A 13 phng, loi B 28 phng, loi C 10 phng.

  • 92

    Bi 24

    Mt ngi c s tin 70 triu ng d nh u t vo cc khon sau:

    - Gi tit kim khng k hn vi li sut 6,5%/nm.

    - Gi tit kim c k hn vi li sut 8,5%/nm;

    - Mua tn phiu vi li sut 10%/nm;

    - Cho doanh nghip t nhn vay vi li sut 13%/nm.

    Mi khon u t u c ri ro ca n nn ngi quyt nh u t theo cc ch

    dn sau y ca nh t vn:

    - Khng cho doanh nghip t nhn vay qu 20% s tin;

    - S tin mua tn phiu khng c vt qu tng s tin u t vo 3 khon

    cn li;

    - u t t nht 30% tng s tin vo gi tit kim c k hn v mua tn phiu;

    - T l tin gi tit kim khng k hn trn tin gi tit kim c k hn khng

    c qu 1/3.

    Hy xc nh s tin u t vo mi khon tng s tin li thu c cao nht v

    tun theo cc ch dn ca nh t vn, bit ngi u t ht s tin hin c.

    *Thit lp m hnh bi ton

    Gi 1, 2, 3, 4 (triu ng) ln lt l s tin u t vo tng phng n 1, 2, 3, 4

    Hm mc tiu: f(x) = 0,065x1 + 0,085x2 + 0,1x3 + 0,13x4 max

    Rng buc:

    {

    1 + 2 + 3 + 4 = 70 4 141 + 2 3 + 4 0

    2 + 3 21 31 2 0

    xj 0; j = 1,4

    *Gii bi ton bng phn mm Excel

    Trong F5 l gi tr hm mc tiu cn tm v F7 n F11 l gi tr tng ca

    cc rng buc.

    - Nhp vo F5 hm sau: =B5*$B$4+C5*$C$4+D5*$D$4+E5*$E$4

  • 93

    - Nhp vo F7 hm sau: =B7*$B$4+C7*$C$4+D7*$D$4+E7*$E$4

    - Tip theo gi nt in v ko t F7 cho n F11.

    *Thm chc nng Solver vo Excel nh sau (nu my bn cha c):

    - File Option Add-Ins Solver Add-in Go Solver Add-in OK.

    *M chc nng Solver ln v thc hin cc thao tc:

    - Data trong th Analysis chn Solver hp thoi Solver Parameters xut hin:

    + Trong Set Objective chn a ch hm mc tiu ( F5)

    + Trong phn To: chn gi tr k vng hm mc tiu (Max)

    + Trong By Changing Variable Cells chn a ch cc bin thay i (B4:E4)

    + Trong Subject to the Constraints: hin th cc iu kin rng buc ca bi ton:

    Rng buc 1: $F$7 = $I$7

    Rng buc 2: $F$8 $H$8

    Rng buc 3: $F$9 $G$9

    Rng buc 4: $F$10 $G$10

    Rng buc 5: $F$11 $H$11

  • 94

    Rng buc cc bin khng m: $B$4: $E$4 0

    - hin th cc rng buc ta nhp chut vo Add hp thoi Add Constraint

    xut hin ln lt add 7 rng buc trn Cancel.

    - Quay v hp thoi Solver Parameters, nhp vo Solver hp thoi Solver

    Result xut hin.

    Vy khng tm c phng n tha mn yu cu bi ton trn.

    + Nhp vo Cancel kt thc.

  • 95

    Bi 25

    Mt cng ty a c nh xy 50 cn nh gm 4 loi: nh trt, nh 2 tng, nh 3 tng

    v bit th. Thi gian (ngy) xy nh mi loi nh sau:

    Hng mc Loi nh

    Nh trt 2 tng 3 tng Bit th

    Xy th 20 60 90 120

    Trang tr 5 30 50 100

    Li 50 triu 100 triu 200 triu 300 triu

    Theo kinh nghim kinh doanh th mi loi nh phi xy t nht 5 cn th mi c li

    cho qui trnh thi cng v trang b k thut. Ngoi ra thi gian phi hon thnh cng

    trnh ti a l 4 nm trnh bin ng th trng v li sut ngn hng.

    Hy xc nh k hoch xy dng nh ti u?

  • 96

    Bi 26

    Cng ty ha cht s dng 3 loi nguyn liu A, B, C sn xut 2 sn phm I v

    II. nh mc chi ph nguyn liu cho vic sn xut sn phm nh sau:

    Nguyn liu nh mc chi ph Kh nng

    cung ng Sn phm I Sn phm II

    A 0,4 0,5 20

    B 0,2 5

    C 0,6 0,3 21

    Li nhun bin cho mi sn phm I, II tng ng l 40 v 30 ngn ng cho mi

    kg.

    Vy Cng ty cn sn xut mi loi bao nhiu kg cc i li nhun?

    *Thit lp m hnh bi ton

    Gi x1, x2 ln lt l s kg cn sn xut ng vi tng sn phm I v II.

    Hm mc tiu:

    f(x) = 40x1 + 30x2 max

    Rng buc:

    {

    0,41 + 0,52 20 0,22 50,61 + 0,32 21

    xj 0; j = 1,2

    *Gii bi ton bng phn mm Excel

    Trong D5 l gi tr hm mc tiu cn tm v D7 n D9 l gi tr tng ca

    cc rang buc.

    - Nhp vo D5 hm sau: =B5*$B$4+C5*$C$4

    - Nhp vo D7 hm sau: =B7*$B$4+C7*$C$4

    - Tip theo gi nt in v ko t D7 cho n D9.

    *Thm chc nng Solver vo Excel nh sau (nu my bn cha c):

  • 97

    - File Option Add-Ins Solver Add-in Go Solver Add-in OK.

    *M chc nng Solver ln v thc hin cc thao tc:

    - Data trong th Analysis chn Solver hp thoi Solver Parameters xut hin:

    + Trong Set Objective chn a ch hm mc tiu ( D5)

    + Trong phn To: chn gi tr k vng hm mc tiu (Max)

    + Trong By Changing Variable Cells chn a ch cc bin thay i (B4:C4)

    + Trong Subject to the Constraints: hin th cc iu kin rng buc ca bi ton:

    Rng buc 1: $D$7 $E$7

    Rng buc 2: $D$8 $E$8

    Rng buc 3: $D$9 $E$9

    Rng buc cc bin khng m: $B$4: $C$4 0

    - hin th cc rng buc ta nhp chut vo Add hp thoi Add Constraint

    xut hin ln lt add 4 rng buc trn Cancel.

  • 98

    - Nhp Cancel quay v hp thoi Solver Parameters, kch chut vo Solver

    hp thoi Solver Result xut hin.

    + Trong phn Reports nhp Answer Nhp vo OK, xem kt qu.

    Vy cn sn xut 25 kg sn phm loi I v 20 kg sn phm loi II th cc i li

    nhun.

  • 99

    PHN 2: ACCESS

    PHN 1: EXCELBi 1Bi 2Bi 3Bi 4Bi 5Bi 6Bi 7Bi 8Bi 9Bi 10Bi 11Bi 12Bi 13Bi 14Bi 15Bi 16Bi 17Bi 18Bi 19Bi 20Bi 21Bi 22Bi 23Bi 24Bi 25Bi 26PHN 2: ACCESS