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Compareincomestatements:
Break-even
PointIncrementTotal
Volumeinunits25,00011,00036,000
Sales$25,000$11,000$36,000
Deductexpenses:
Variable20,0008,80028,800
Fixed5,000---5,000
Totalexpenses$25,000$8,800$33,800
Effectonnetincome$0$2,200$2,200
3.Totalfixedexpenseswouldbe$5,000+$1,152=$6,152
=30,760units;
=$30,760sales
or30,760x$1.00=$30,760sales
4.Newcontributionmarginis$.18perunit;
$5,000÷
$.18=27,778units
27,778unitsx$1.00=$27,778insales
5.Thequickway:
(36,000-25,000)x$.16=$1,760.Onagraph,theslopeofthetotalcostlinewouldhaveakinkupward,beginningatthebreak-evenpoint.
2-A3(20-30min.)
Thefollowingformatisonlyoneofmanywaystopresentasolution.Thissituationisreallyademonstrationof"
sensitivityanalysis,"
wherebyabasicsolutionistestedtoseehowmuchitisaffectedbychangesincriticalfactors.Muchdiscussioncanensue,particularlyaboutthefinalthreechanges.
Thebasiccontributionmarginperrevenuemileis$1.50-$1.30=$.20
(1)
(2)(3)(4)(5)
(1)x
(2)(3)-(4)
RevenueContributionTotal
MilesMarginPerContributionFixedNet
SoldRevenueMileMarginExpensesIncome
1.800,000$.20$160,000$110,000$50,000
2.(a)800,000.35280,000110,000170,000
(b)880,000.20176,000110,00066,000
(c)800,000.0756,000110,000(54,000)
(d)800,000.20160,000121,00039,000
(e)840,000.17142,800110,00032,800
(f)720,000.25180,000110,00070,000
(g)840,000.20168,000121,00047,000
2-28(5-10min.)
1.Contributionmargin=$900,000-$500,000=$400,000
Netincome=$400,000-$350,000=$50,000
2.Variableexpenses=$800,000-$350,000=$450,000
Fixedexpenses=$350,000-$80,000=$270,000
3.Sales=$600,000+$340,000=$940,000
Netincome=$340,000-$250,000=$90,0002-29(10-20min.)
1.d=c(a-b)
$720,000=120,000($25-b)
b=$19
f=d-e
=$720,000-$640,000=$80,000
2.d=c(a-b)
=100,000($10-$6)=$400,000
=$400,000-$320,000=$80,000
3.c=d÷
(a-b)
=$100,000÷
$5=20,000units
e=d-f
=$100,000-$15,000=$85,000
4.d=c(a-b)
=70,000($30-$20)
=$700,000
=$700,000-$12,000=$688,000
5.d=c(a-b)
$160,000=80,000(a-$9)
a=$11
=$160,000-$110,000=$50,000
2-56(20-25min.)
1.Netincome(loss)=250,000($2)+125,000($3)-$735,000
=$500,000+$375,000-$735,000
=$140,000
2.LetB=numberofunitsofbeefenchiladastobreakeven(B)
2B=numberofunitsofchickentacostobreakeven(C)
Totalcontributionmargin-fixedexpenses=zeronetincome
$3B+$2(2B)-$735,000=0
$7B=$735,000
B=105,000
2B=210,000=C
Thebreak-evenpointis105,000unitsofbeefenchiladasplus210,000unitsofchickentacos,agrandtotalof315,000units.
3.Iftacos,break-evenwouldbe$735,000÷
$2=367,500units.
Ifenchiladas,break-evenwouldbe$735,000÷
$3=245,000units.
Notethatasthemixeschangefrom1enchiladato2tacos,to0tacosto1enchilada,andto1tacoto0enchiladas,thebreak-evenpointchangesfrom315,000to245,000to367,500.
4.Netincome(loss)=236,250($2)+78,750($3)-$735,000
=$472,500+$236,250-$735,000
=$(26,250)
LetB=numberofunitsofbeefenchiladastobreakeven(V)
3B=numberofunitsofchickentacostobreakeven(C)
$3B+$2(3B)-$735,000=0
$9B=$735,000
B=81,667
3B=245,000=C
Themajorlessonofthisproblemisthatchangesinsalesmixchangebreak-evenpointsandnetincomes.Thebreak-evenpointis81,667unitsofenchiladasplus245,000unitsoftacos,atotalof326,667units.Thus,theunfavorablechangeinmixresultsinanetlossof$26,250attheoldtotalbreak-evenlevelof315,000units.Inshort,thebreak-evenlevelishigherbecausethesalesmixislessprofitablewhentacosrepresentahigherproportionofsales.Inthisexample,thebudgetedandactualtotalsalesinnumberofunitswereidentical,buttheproportionofproducthavingthehighercontributionmargindeclined.
CHAPTER3
MeasurementofCostBehavior
3-A1(20-25min.)
Someoftheseanswersarecontroversial,andreasonablecasescanbebuiltforalternativeclassifications.Classdiscussionoftheseanswersshouldleadtoworthwhiledisagreementsaboutanticipatedcostbehaviorwithregardtoalternativecostdrivers.
1.(b)Discretionaryfixedcost.
2.(e)Stepcost.
3.(a)Purelyvariablecostwithrespecttorevenue.
4.(a)Purelyvariablecostwithrespecttomilesflown.
5.(d)Mixedcostwithrespecttomilesdriven.
6.(c)Committedfixedcost.
7.(b)Discretionaryfixedcost.
8.(c)Committedfixedcost.
9.(a)PurelyvariablecostwithrespecttocasesofCoca-Cola.
10.(b)Discretionaryfixedcost.
11.(b)Discretionaryfixedcost.
3-A3(25-30min.)
1.High-LowMethod:
SupportCostMachineHours
Highmonth=September$13,5001,750
Lowmonth=May9,000850
Difference$4,500900
Variablecostpermachinehour=
=$5.00
Fixedsupportcostpermonth=Totalsupportcost-Variablesupportcost
Atthehighpoint:
=$13,500-$5.00x1,750
=$13,500-$8,750
=$4,750
oratthelowpoint:
=$9,000-$5.00x850
=$9,000-$4,250
2.Thehigh-lowmethodusesthehighandlowactivitylevelstodeterminethecostfunction.SincethenewOctoberdataformachinehoursdoesnotchangeeitherthehighorlowleveltherewouldbenochangeintheanalysis.
3.Theregressionanalysisresultsaresomewhatdifferentfromtheresultsofthehigh-lowmethod.Asaresult,estimatesoftotalsupportcostmaydifferconsiderablydependingontheexpectedmachinehourusage.Forexample,considerthefollowingsupportcostestimatesatthreelevelsofmachinehourusage(allwithintherelevantrange):
MachineHourUsage
950Hours1,200Hours1,450Hours
High-Low:
Fixed$4,750$4,750$4,750
Variable:
$5.00x9504,750
$5.00x1,2006,000
$5.00x1,4507,250
Total$9,500$10,750$12,000
Regression:
Fixed$3,355$3,355$3,355
$6.10x9505,795
$6.10x1,2007,320
$6.10x1,4508,845
Total$9,150$10,675$12,200
Becausethehigh-lowapproachhasalowervariablecostestimate,theregression-basedpredictionsexceedthehigh-low-basedpredictionsathigherlevelsofmachineusage,whilethehigh-lowestimatesaregreateratlowerlevelsofusage.Thehigh-lowmethodusedonlytwodatapoints,sotheresultsmaynotbereliable.Evertwouldbeadvisedtousetheregressionresults,whicharebasedonallrelevantdata.
3-35(10-15min.)
1.Fuelcosts:
$.20x17,000milespermonth=$3,400permonth.
2.Equipmentrental:
$6,000x7x3=$126,000forsevenpiecesofequipmentforthreemonths
3.AmbulanceandEMTcost:
$1,200x(2,400/250)=$1,200x10=$12,000(mustroundupfrom9.6to10)
4.Purchasing:
$7,500+$4x4,000=$23,500forthemonth.
3-36(10-15min.)Theremaybesomedisagreementabouttheseclassifications,butreasonsforalternativeclassificationsshouldbeexplored.
CostDiscretionaryCommitted
Advertising$19,000
Depreciation$47,000
Companyhealthinsurance15,000
Managementsalaries85,000
Paymentoflong-termdebt50,000
Propertytax32,000
Groundsmaintenance9,000
Officeremodeling21,000
Researchanddevelopment36,000
Totals$85,000$229,000
3-41(5-10min.)
Variablecostperton=(£
1,150,000-£
950,000)(45,000-35,000)
=
=£
20/ton
Fixedcost=£
1,150,000–(45,000x£
20)=£
250,000
or=£
950,000–(35,000x£
Costfunction=£
250,000+£
20xNumberoftons
CHAPTER4
COVERAGEOFLEARNINGOBJECTIVES
4-37(10min.)
Thisexerciseemphasizeshowagivencostitemmaybeseenfromdifferentviewpoints.Classroomuseofsuchexerciseswillgetstudentsthinkinginsteadofmemorizing.Surely,classroomdiscussionatthisearlystageofthecoursewillnotsettlethestudent'
smindonmanyissues.Exceptionscanbecitedfornearlyeveryanswer.Theclasswillrarelybeabletodiscussmorethanhalftheitems.Thisshouldnotdisturbtheinstructor.Toaccomplishthepurposeoftheseproblems,everyitemneednotbediscussedinprolongeddetail.
ManufacturingCosts
Direct(D)orVariable(V)or
Indirect(I)Fixed(F)
1.DV
2.IF
3.IV
4.IV
5.IV
6.IF
7.IF
8.IV
9.DV
10.IV
4-39(20min.)
1.b,f7.b,e13.d,f
2.d,f8.b,e14.borc,e
3.d,e9.b,e15.a**,f
4.b,f10.c,e16.b,e
5.g*11.b,f17.b,f
6.b,f12.b,g18.d,e
*Non-recurringitemssuchasthisarenotclassifiedaseithervariableorfixed.
**Couldpossiblybe(b)ifimmaterial.
Thisproblememphasizeshowagivencostitemmaybeseenfromdifferentviewpoints.Classroomuseofsuchproblemscausesstudentstothinkinsteadofmemorize.Surely,classroomdiscussionatthisearlystageofthecoursewillnotsettlethestudent'
smindonmanyissues.Exceptionscanbecitedfornearlyeveryanswer.Theclasswillrarelybeabletodiscussmorethanhalftheitems.Thisshouldnot