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第二章产品成本计算
Exercises
2-1(指教材上的第2章练习第1题,下同)
1.Part#72APart#172C
Steel*$12.00$18.00
Setupcost**6.006.00
Total$_____18.00$24.00
*($1.00X12;$1.00X18)
**($60,000/10,000)
Steelcostisassignedbycalculatingacostperounceandthen
multiplyingthisbytheouncesusedbyeachpart:
Costperounce=$3,000,000/3,000,000ounces
=$1.00perounce
Setupcostisassignedbycalculatingthecostpersetupandthen
dividingthisbythenumberofunitsineachbatch(thereare20
setupsperyear):
Costpersetup=$1,200,000/20
=$60,000
2.Thecostofsteelisassignedthroughthedrivertracingusingthe
numberofouncesofsteel,andthecostofthesetupsisassigned
throughdrivertracingalsousingnumberofsetupsasthedriver.
3.Theassumptionunderlyingnumberofsetupsasthedriveristhat
eachpartusesanequalamountofsetuptime.SincePart#72Auses
doublethesetuptimeofPart#172C,itmakessensetoassignsetup
costsbasedonsetuptimeinsteadofnumberofsetups.This
illustratestheimportanceofidentifyingdriversthatreflectthetrue
underlyingconsumptionpattern.Usingsetuphours[(40x10)+(20x
10)],wegetthefollowingrateperhour:
Costpersetuphour=$1,200,000/600
=$2,000perhour
Thecostperunitisobtainedbydividingeachpart'stotalsetupcosts
bythenumberofunits:
Part#72A=($2,000x400)/100,000=$8.00
Part#172C=($2,000x200)/100,000=$4.00
Thus,Part#72Ahasitsunitcostincreasedby$2.00,whilePart
#172Chasitsunitcostdecreasedby$2.00.
problems
2-5
1.Nursinghoursrequiredperyear:4x24hoursx364days*=34,944
★Note:364days=7daysx52weeks
Numberofnurses=34,944hrs./2,000hrs.pernurse=17.472
Annualnursingcost=(17x$45,000)+$22,500
=$787,500
Costperpatientday=$787,500/10,000days
=$78.75perday(foreithertypeofpatient)
2.Nursinghoursactasthedriver.Ifintensivecareuseshalfofthe
hoursandnormalcaretheotherhalf,then50percentofthecostis
assignedtoeachpatientcategory.Thus,thecostperpatientdayby
patientcategoryisasfollows:
Intensivecare=$393,750*72,000days
=$196.88perday
Normalcare=$393,750/8,000days
=$49.22perday
*$525,000/2=$262,500
Thecostassignmentreflectstheactualusageofthenursing
resourceand,thus,shouldbemoreaccurate.Patientdayswouldbe
accurateonlyifintensivecarepatientsusedthesamenursinghours
perdayasnormalcarepatients.
3.Thesalaryofthenurseassignedonlytointensivecareisadirectly
traceablecost.Toassigntheothernursingcosts,thehoursof
additionalusagewouldneedtobemeasured.Thus,bothdirect
tracinganddrivertracingwouldbeusedtoassignnursingcostsfor
thisnewsetting.
2-6
StatementofCostof
ServicesSold
FortheYearEndedJune30,2006
Directmaterials:
..............................................................................Beginning
inventory..............................................................$300,000
..............................................................................Add:Purchases600,
Materialsavailable$900,
Less:Ending
inventory..............................................................450,000*
Directmaterialsused.........................................$450,000
Directlabor..........................................................12,000,(
Overhead..............................................................1,500,0(
Totalservicecostsadded..................................$13,950,(
Add:Beginningworkinprocess.......................900,000
Totalproductioncosts.......................................$14,850,(
Less:Endingworkinprocess...........................1,500,0(
Costofservicessold..........................................$13.350.(
*Materialsavailablelessmaterialsused
2.Thedominantcostisdirectlabor(presumablythesalariesofthe100
professionals).Althoughlaboristhemajorcostofprovidingmany
services,itisnotalwaysthecase.Forexample,thedominantcost
forsomemedicalservicesmaybeoverhead(e.g.,CATscans).In
someservices,thedominantcostmaybematerials(e.g.,funeral
services).
BellaObraCompany
IncomeStatement
FortheYearEndedJune30,2006
Sales.....................................................................$21,000,(
Costofservicessold..........................................13,350,(
Grossmargin.......................................................$7,650,0(
Lessoperatingexpenses:
..............................................................................Sellingexpenses$900,
..............................................................................Administrative
expenses..............................................................
..................................................................750,000
...............................................................1,650,000
Incomebeforeincometaxes..............................16.000.0(
4.Serviceshavefourattributesthatarenotpossessedbytangible
products:(1)intangibility,(2)perishability,(3)inseparability,and(4)
heterogeneity.Intangibilitymeansthatthebuyersofservicescannot
see,feel,hear,ortasteaservicebeforeitisboughtPerishability
meansthatservicescannotbestored.Thispropertyaffectsthe
computationinRequirement1.Inabilitytostoreservicesmeansthat
therewillneverbeanyfinishedgoodsinventories,thusmakingthe
costofservicesproducedequivalenttocostofservicessold.
Inseparabilitysimplymeansthatprovidersandbuyersofservices
mustbeindirectcontactforanexchangetotakeplace.
Heterogeneityreferstothegreaterchanceforvariationinthe
performanceofservicesthanintheproductionoftangibleproducts.
2-7
1.Directmaterials:
Magazine(5,000x$0.40)$2,000
Brochure(10,000x$0.08)800$2,800
Directlabor:
Magazine[(5,000/20)x$10]$2,500
Brochure[(10,000/100)x$10]1,0003,500
Manufacturingoverhead:
Rent$1,400
Depreciation[($40,000/20,000)x350*]700
Setups600
Insurance140
Power3503,190
Costofgoodsmanufactured$9.490
*Productionis20unitsperprintinghourformagazinesand100
unitsperprintinghourforbrochures,yieldingmonthlymachine
hoursof350[(5,000/20)+(10,000/100)].Thisisalsomonthlylabor
hours,asmachinelaboronlyoperatesthepresses.
2.Directmaterials$2,800
Directlabor3,500
Totalprimecosts$6.300
Magazine:
Directmaterials$2,000
Directlabor2,500
Totalprimecosts$4.500
Brochure:
Directmaterials$800
Directlabor1,000
Totalprimecosts$1.800
Directtracingwasusedtoassignprimecoststothetwoproducts.
3.Totalmonthlyconversioncost:
Directlabor$3,500
Overhead3.190
Total$6.690
Magazine:
Directlabor$2,500
Overhead:
Power($1x250)$250
Depreciation($2x250)500
Setups(2/3x$600)400
Rentandinsurance($4.40x250DLH)*1,1002,250
Total$4.750
Brochure:
Directlabor$1,000
Overhead:
Power($1x100)$100
Depreciation($2x100)200
Setups(1/3x$600)200
Rentandinsurance($4.40x100DLH)*440940
Total$1.940
*Rentandinsurancecannotbetracedtoeachproductsothecosts
areassignedusingdirectlaborhours:$1,540/350DLH=$4.40per
directlaborhour.Theotheroverheadcostsaretracedaccordingto
theirusage.Depreciationandpowerareassignedbyusingmachine
hours(250formagazinesand100forbrochures):$350/350=$1.00
permachinehourforpowerand$40,000/20,000=$2.00permachine
hourfordepreciation.Setupsareassignedaccordingtothetime
required.Sincemagazinesusetwiceasmuchtime,theyreceive
twicethecost:LettingX=theproportionofsetuptimeusedfor
brochures,2X+X=1impliesacostassignmentratioof2/3for
magazinesand1/3forbrochures.
Exercises
3-1
1.ResourceTotalCostUnitCost
Plastic1$10,800$0,027
Directlaborand
variableoverhead28,0000.020
Moldsets320,0000.050
Otherfacilitycosts410,0000.025
Total$48.800$0.122
10.90x$0.03x400,000=$10,800;$10,800/400,000=$0,027
2$0.02x400,000=$8,000;$8,000/400,000=$0.02
3$5,000x4quarters=$20,000;$20,000/400,000=$0.05
4$10,000;$10,000/400,000=$0,025
2.Plastic,directlabor,andvariableoverheadareflexibleresources;
moldsandotherfacilitycostsarecommittedresources.Thecostof
plastic,directlabor,andvariableoverheadarestrictlyvariable.The
costofthemoldsisfixedfortheparticularactionfigurebeing
produced;itisastepcostfortheproductionofactionfiguresin
general.Otherfacilitycostsarestrictlyfixed.
3-3
High(1,400,$7,950);Low(700,$5,150)
V=($7,950-$5,150)/(1,400-700)
=$2,800/700=$4peroilchange
F=$5,150-$4(700)
=$5,150-$2,800=$2,350
Cost=$2,350+$4(oilchanges)
PredictedcostforJanuary=$2,350+$4(1,000)=$6,350
problems
1.High(1,700,$21,000);Low(700,$15,000)
V=(Y2-Y1)/(X2-X1)
=($21,000-$15,000)/(1,700-700)=$6perreceivingorder
F=Y2-VX2
=$21,000-($6)(1,700)=$10,800
Y=$10,800+$6X
2.Outputofspreadsheetregressionroutinewithnumberofreceiving
ordersastheindependentvariable:
Constant4512.98701298698
Std.Err.ofYEst.3456.24317476605
RSquared0.633710482694768
No.of10
Observations
Degreesof8
Freedom
XCoefficient(s)13.3766233766234
Std.Err.ofCoef.3.59557461331427
V=$13.38perreceivingorder(rounded)
F=$4,513(rounded)
Y=$4,513+$13.38X
R2=0.634,or63.4%
Receivingordersexplainabout63.4percentofthevariabilityin
receivingcost,providingevidencethatTracy'schoiceofacost
driverisreasonable.However,otherdriversmayneedtobe
consideredbecause63.4percentmaynotbestrongenoughtojustify
theuseofonlyreceivingorders.
3.Regressionwithpoundsofmaterialastheindependentvariable:
Constant5632.28109733183
Std.Err.ofYEst.2390.10628259277
RSquared0.824833789433823
No.of10
Observations
Degreesof8
Freedom
XCoefficient(s)0.0449642991356633
Std.Err.ofCoef.0.0073259640055344
V=$0,045perpoundofmaterialdelivered(rounded)
F=$5,632(rounded)
Y=$5,632+$0.045X
R2=0.825,or82.5%
Poundsofmaterialdeliveredexplainsabout82.5percentofthe
variabilityinreceivingcost.Thisisabetterresultthanthatofthe
receivingordersandshouldconvinceTracytotrymultiple
regression.
4.Regressionroutinewithpoundsofmaterialandnumberof
receivingordersastheindependentvariables:
Constant752.104072925631
Std.Err.ofYEst.1350.46286973443
RSquared0.951068418023306
No.of10
Observations
Degreesof7
Freedom
XCoefficient(s)0.03338831510969157.14702865269395
Std.Err.ofCoef.0.004955248411983681.68182916088492
Vi=$0,033perpoundofmaterialdelivered(rounded)
V2=$7,147perreceivingorder(rounded)
F=$752(rounded)
Y=$752+$0.033a+$7.147b
R2=0.95,or95%
Multipleregressionwithbothvariablesexplains95percentofthe
variabilityinreceivingcost.Thisisthebestresult.
5-2
Job#57Job#58Job#59
Balance,7/1$22,450$0$0
Directmaterials12,9009,90035,350
Directlabor20,0006,50013,000
Appliedoverhead:
Power7506003,600
Materialhandling1,5003006,000
Purchasing2501,000250
Totalcost$57.850$18.300$58.200
2.EndingbalanceinWorkinProcess=Job#58=$18,300
3.EndingbalanceinFinishedGoods=Job#59=$58,200
4.CostofGoodsSold=Job#57=$57,850
problems
5-3
1.Overheadrate=$180/$900=0.20or20%ofdirectlabordollars.
(ThisratewascalculatedusinginformationfromtheLadanjob;
however,theMyronandCoejobswouldgivethesameanswer.)
LadanMvronCoeWalkerWillis
BeginningWIP$1,730$1,180$2,500$0$0
Directmaterials400150260800760
Directlabor800900650350900
Appliedoverhead160180130____70180
Total$3.090$2.410$3.540$1.220$1.840
Note:Thisisjustonewayofsettingupthejob-ordercostsheets.
Youmightprefertokeepthedetailonthematerials,labor,and
overheadinbeginninginventorycosts.
3.SincetheLadanandMyronjobswerecompleted,theothersmust
stillbeinprocess.Therefore,theendingbalanceinWorkinProcess
isthesumofthecostsoftheCoe,Walker,andWillisjobs.
Coe$3,540
Walker1,220
Willis1,840
EndingWorkinProcess$6.600
CostofGoodsSold=Ladanjob+Myronjob=$3,090+$2,410=
$5,500
4.NamanCompany
IncomeStatement
FortheMonthEndedJune30,20XX
Sales(1.5x$5,500)...................................................................$8,250
Costofgoodssold...................................................................5,500
Grossmargin.............................................................................$2,750
Marketingandadministrativeexpenses.................................1.200
Operatingincome.....................................................................$1.550
5-20
1.Overheadrate=$470,000/50,000=$9.40perMHr
2.DepartmentA:$250,000/40,000=$6.25perMHr
DepartmentB:$220,000/10,000=$22.00perMHr
Job#73Job#74
Plantwide:
70x$9.40=$65870x$9.40=$658
Departmental:
20x$6.25$125.0050x$6.25$312.50
50x$221,100.0020x$22440.00
$1.225.00$752.50
DepartmentBappearstobemoreoverheadintensive,sojobs
spendingmoretimeinDepartmentBoughttoreceivemore
overhead.Thus,departmentalratesprovidemoreaccuracy.
4.Plantwiderate:$250,000/40,000=$6.25
DepartmentB:$62,500/10,000=$6.25
Job#73Job#74
Plantwide:
70x$6.25=$437.5070x$6.25=$437.50
Departmental:
20x$6.25$125.0050x$6.25$312.50
50x$6.25312.5020x$6.25125.00
$437.50$437.50
Assumingthatmachinehoursisagoodcostdriver,thedepartmental
ratesrevealthatoverheadconsumptionisthesameineach
department.Inthiscase,thereisnoneedfordepartmentalrates,and
aplantwiderateissufficient.
5-4
1.Overheadrate=$470,000/50,000=$9.40perMHr
2.DepartmentA:$250,000/40,000=$6.25perMHr
DepartmentB:$220,000/10,000=$22.00perMHr
Job#73Job#74
Plantwide:
70x$9.40=$65870x$9.40=$658
Departmental:
20x$6.25$125.0050x$6.25$312.50
50x$221,100.0020x$22440.00
$1.225.00$752.50
DepartmentBappearstobemoreoverheadintensive,sojobs
spendingmoretimeinDepartmentBoughttoreceivemore
overhead.Thus,departmentalratesprovidemoreaccuracy.
4.Plantwiderate:$250,000/40,000=$6.25
DepartmentB:$62,500/10,000=$6.25
Job#73Job#74
Plantwide:
70x$6.25=$437.5070x$6.25=$437.50
Departmental:
20x$6.25$125.0050x$6.25$312.50
50x$6.25312.5020x$6.25125.00
$437.50$437.50
Assumingthatmachinehoursisagoodcostdriver,thedepartmental
ratesrevealthatoverheadconsumptionisthesameineach
department.Inthiscase,thereisnoneedfordepartmentalrates,and
aplantwiderateissufficient.
5-5
1.Lastyear'sunit-basedoverheadrate=$50,000/10,000=$5
Thisyear'sunit-basedoverheadrate=$100,000/10,000=$10
LastYearThisYear
Bikecost:
2x$20$40$40
3x$123636
Overhead:
5x$525
5x$1050
Total$101$126
Pricelastyear=$101x1.40=$141.40/day
Pricethisyear=$126x1.40=$176.40/day
Thisisa$35increaseoverlastyear,nearlya25percentincrease.No
doubttheCarsonsarenotpleasedandwouldconsiderlooking
aroundforotherrecreationalpossibilities.
Purchasingrate=$30,000/10,000=$3perpurchaseorder
Powerrate=$20,000/50,000=$0.40perkilowatthour
Maintenancerate=$6,000/600=$10permaintenancehour
Otherrate=$44,000/22,000=$2perDLH
BikeRentalPicnicCaterina
Purchasing
$3x7,000$21,000
$3x3,000$9,000
Power
$0.40x5,0002,000
$0.40x45,00018,000
Maintenance
$1Ox5005,000
$10x1001,000
Other
$2x11,00022,00022,000
Totaloverhead$50.000$50.000
3.Thisyear'sbikerentaloverheadrate=$50,000/10,000=$5
Carsonrentalcost=(2x$20)+(3x$12)+(5x$5)=$101
Price=1.4x$101=$141.40/day
4.Cateringrate=$50,000/11,000=$4.55*perDLH
CostofEstesjob:
Bikerentalrate(2x$7.50)$15.00
Bikeconversioncost(2x$5.00)10.00
Cateringmaterials12.00
Cateringconversion(1x$4.55)4.55
Totalcost$41.55
*Rounded
5.TheuseofABCgivesMountainViewRentalsabetterideaofthe
typesandcostsofactivitiesthatareusedintheirbusiness.Adding
Level4bikeswillincreasetheuseofthemostexpensiveactivities,
meaningthattherentalratewillnolongerbeanaverageof$5per
rentalday.MountainViewRentalsmightneedtosetaLevel4price
basedontheincreasedcostofboththebikeandconversioncost.
分步成本法
6-1
1.CuttingSewingPackaging
DepartmentDepartmentDepartment
Directmaterials$5,400$900$225
Directlabor1501,800900
Appliedoverhead7503,600900
Transferred-incost:
Fromcutting6,300
Fromsewing12,600
Totalmanufacturingcost$6.300$12.600$14.625
a.WorkinProcess-Sewing.................6,300
WorkinProcess-Cutting..........6,300
b.WorkinProcess-Packaging...........12,600
WorkinProcess—Sewing..........12,600
c.FinishedGoods...................................14,625
WorkinProcess—Packaging.….14,625
Unitcost=$14,625/600=$24.38*perpair
6-2
1.Unitstransferredout:27,000+33,000-16,200=43,800
2.Unitsstartedandcompleted:43,800-27,000=16,800
3.Physicalflowschedule:
Unitsinbeginningworkinprocess27,000
Unitsstartedduringtheperiod33,000
Totalunitstoaccountfor60.000
Unitsstartedandcompleted16,800
Unitscompletedfrombeginningworkinprocess27,000
Unitsinendingworkinprocess16,200
Totalunitsaccountedfor60.000
4.Equivalentunitsofproduction:
MaterialsConversion
Unitscompleted43,80043,800
Add:Unitsinendingworkinprocess:
(16,200x100%)16,200
(16,200x25%)_____4,050
Equivalentunitsofoutput60.00047.850
6-3
1.Physicalflowschedule:
Unitstoaccountfor:
Unitsinbeginningworkinprocess80,000
Unitsstartedduringtheperiod160.000
Totalunitstoaccountfor240.000
Unitsaccountedfor:
Unitscompletedandtransferredout:
Startedandcompleted120,000
Frombeginningworkinprocess80,000200,000
Unitsinendingworkinprocess40,000
Totalunitsaccountedfor240.000
2.Unitscompleted200,000
Add:UnitsinendingWIPxFractioncomplete
(40,000x20%)&000
Equivalentunitsofoutput208.000
3.Unitcost=($374,400+$1,258,400)/208,000=$7.85
4.Costtransferredout=200,000x$7.85=$1,570,000
CostofendingWIP=8,000x$7.85=$62,800
5.Coststoaccountfor:
Beginningworkinprocess$374,400
IncurredduringJune1,258,400
Totalcoststoaccountfor$1.632.800
Costsaccountedfor:
Goodstransferredout$1,570,000
Goodsinendingworkinprocess62,800
Totalcostsaccountedfor$1.632.800
1、
UnitstOaccountfor:
Unitsinbeginningworkinprocess(25%completed)10000
Unitsstartedduringtheperiod70000
Totalunitstoaccountfor80000
Unitsaccountedfor
Unitscompletedandtransferredout
Startedandcompleted50000
Frombeginningworkinprocess1000060000
Unitsinendingworkinprocess(60%completed)20000
Totalunitsaccountedfor80000
2、
60000+20000X60%=72000(units)
3、
Unitcostformaterials:
49000^51000=5($/unit)
60000+20000
Unitcostforconvension:
2625+78735
=1,13($/unit)
60000+12000
Totalunitcost:
5+1.13=6.13($/unit)
4、
Thecostofunitsoftransferredout:
60000X6.13=367800($)
Thecostofunitsofendingworkinprocess:
20000X5+20000X20%XI.13=113560($)
作业成本法
4-2
1.Predeterminedrat
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