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第二章產(chǎn)品成本計算
Exercises
2-1(指教材上的第2章練習(xí)第1題,下同)
1.Part#72APart#172C
Steel*$12.00$18.00
Setupcost**6.006.00
Total$18.00$24.00
*($1.00?12;$1.00?18)
**($60,000/10,000)
Steelcostisassignedbycalculatingacostperounceandthenmultiplyingthisbytheounces
usedbyeachpart:
Costperounce=$3,000,000/3,000,000ounces
=$1.00perounce
Setupcostisassignedbycalculatingthecostpersetupandthendividingthisbythenumber
ofunitsineachbatch(thereare20setupsperyear):
Costpersetup=$1,200,000/20
=$60,000
2.Thecostofsteelisassignedthroughthedrivertracingusingthenumberofouncesofsteel,
andthecostofthesetupsisassignedthroughdrivertracingalsousingnumberofsetupsasthe
driver.
3.Theassumptionunderlyingnumberofsetupsasthedriveristhateachpartusesanequal
amountofsetuptime.SincePart#72AusesdoublethesetuptimeofPart#172C,itmakessenseto
assignsetupcostsbasedonsetuptimeinsteadofnumberofsetups.Thisillustratestheimportance
ofidentifyingdriversthatreflectthetrueunderlyingconsumptionpattern.Usingsetuphours[(40?
10)+(20?10)],wegetthefollowingrateperhour:
Costpersetuphour=$1,200,000/600
=$2,000perhour
Thecostperunitisobtainedbydividingeachpart'stotalsetupcostsbythenumberofunits:
Part#72A=($2,000?400)/100,000=$8.00
Part#172C=($2,000?200)/100,000=$4.00
Thus,Part#72Ahasitsunitcostincreasedby$2.00,whilePart#172Chasitsunitcost
decreasedby$2.00.
problems
2-5
1.Nursinghoursrequiredperyear:4?24hours?364days*=34,944
*Note:364days=7days?52weeks
Numberofnurses=34,944hrs./2,000hrs.pernurse=17.472
Annualnursingcost=(17?$45,000)+$22,500
=$787,500
Costperpatientday=$787,500/10,000days
=$78.75perday(foreithertypeofpatient)
2.Nursinghoursactasthedriver.Ifintensivecareuseshalfofthehoursandnormalcarethe
otherhalf,then50percentofthecostisassignedtoeachpatientcategory.Thus,thecostper
patientdaybypatientcategoryisasfollows:
Intensivecare=$393,750*/2,000days
=$196.88perday
Normalcare=$393,750/8,000days
=$49.22perday
*$525,000/2=$262,500
Thecostassignmentreflectstheactualusageofthenursingresourceand,thus,shouldbe
moreaccurate.Patientdayswouldbeaccurateonlyifintensivecarepatientsusedthesame
nursinghoursperdayasnormalcarepatients.
3.Thesalaryofthenurseassignedonlytointensivecareisadirectlytraceablecost.Toassign
theothernursingcosts,thehoursofadditionalusagewouldneedtobemeasured.Thus,both
directtracinganddrivertracingwouldbeusedtoassignnursingcostsforthisnewsetting.
2-6
1.BellaObraCompany
StatementofCostofServicesSold
FortheYearEndedJune30,2006
Directmaterials:
Beginninginventory$300,000
Add:Purchases600,000
Materialsavailable$900,000
Less:Endinginventory450,000*
Directmaterialsused$450,000
Directlabor12,000,000
Overhead1,500,000
Totalservicecostsadded13,950,000
Add:Beginningworkinprocess900,000
Totalproductioncosts$14,850,000
Less:Endingworkinprocess1,500,000
Costofservicessold$13,350,000
*Materialsavailablelessmaterialsused
2.Thedominantcostisdirectlabor(presumablythesalariesofthe100professionals).Although
laboristhemajorcostofprovidingmanyservices,itisnotalwaysthecase.Forexample,the
dominantcostforsomemedicalservicesmaybeoverhead(e.g.,CATscans).Insomeservices,the
dominantcostmaybematerials(e.g.,funeralservices).
3.BellaObraCompany
IncomeStatement
FortheYearEndedJune30,2006
Sales$21,000,000
Costofservicessold13,350,000
Grossmargin$7,650,000
Lessoperatingexpenses:
Sellingexpenses$900,000
Administrativeexpenses750,0001,650,000
Incomebeforeincometaxes$6,000,000
4.Serviceshavefourattributesthatarenotpossessedbytangibleproducts:(1)intangibility,(2)
perishability,(3)inseparability,and(4)heterogeneity.Intangibilitymeansthatthebuyersof
servicescannotsee,feel,hear,ortasteaservicebeforeitisbought.Perishabilitymeansthat
servicescannotbestored.ThispropertyaffectsthecomputationinRequirement1.Inabilityto
storeservicesmeansthattherewillneverbeanyfinishedgoodsinventories,thusmakingthecost
ofservicesproducedequivalenttocostofservicessold.Inseparabilitysimplymeansthat
providersandbuyersofservicesmustbeindirectcontactforanexchangetotakeplace.
Heterogeneityreferstothegreaterchanceforvariationintheperformanceofservicesthaninthe
productionoftangibleproducts.
2-7
1.Directmaterials:
Magazine(5,000?$0.40)$2,000
Brochure(10,000?$0.08)800$2,800
Directlabor:
Magazine[(5,000/20)?$10]$2,500
Brochure[(10,000/100)?$10]1,0003,500
Manufacturingoverhead:
Rent$1,400
Depreciation[($40,000/20,000)?350*]700
Setups600
Insurance140
Power3503,190
Costofgoodsmanufactured$9,490
*Productionis20unitsperprintinghourformagazinesand100unitsperprintinghourfor
brochures,yieldingmonthlymachinehoursof350[(5,000/20)+(10,000/100)].Thisisalso
monthlylaborhours,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($1?250)$250
Depreciation($2?250)500
Setups(2/3?$600)400
Rentandinsurance($4.40?250DLH)*1,1002,250
Total$4,750
Brochure:
Directlabor$1,000
Overhead:
Power($1?100)$100
Depreciation($2?100)200
Setups(1/3?$600)200
Rentandinsurance($4.40?100DLH)*440940
Total$1,940
*Rentandinsurancecannotbetracedtoeachproductsothecostsareassignedusingdirect
laborhours:$1,540/350DLH=$4.40perdirectlaborhour.Theotheroverheadcostsaretraced
accordingtotheirusage.Depreciationandpowerareassignedbyusingmachinehours(250for
magazinesand100forbrochures):$350/350=$1.00permachinehourforpowerand
$40,000/20,000=$2.00permachinehourfordepreciation.Setupsareassignedaccordingtothe
timerequired.Sincemagazinesusetwiceasmuchtime,theyreceivetwicethecost:LettingX=
thepro?portionofsetuptimeusedforbrochures,2X+X=1impliesacostassignmentratioof
2/3formagazinesand1/3forbrochures.
Exercises
3-1
1.ResourceTotalCostUnitCost
Plastid$10,800$0,027
Directlaborand
variableoverhead28,0000.020
Moldsets320,0000.050
Otherfacilitycosts410,0000.025
Total$48,800$0,122
10.90?$0,03?400,000=$10,800;$10,800/400,000=$0,027
2$0.02?400,000=$8,000;$8,000/400,000=$0.02
3$5,000?4quarters=$20,000;$20,000/400,000=$0.05
4$10,000;$10,000/400,000二$0,025
2.Plastic,directlabor,andvariableoverheadareflexibleresources;moldsandotherfacility
costsarecommittedresources.Thecostofplastic,directlabor,andvariableoverheadarestrictly
variable.Thecostofthemoldsisfixedfortheparticularactionfigurebeingproduced;itisastep
costfortheproductionofactionfiguresingeneral.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
3-6
1.High(l,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.Outputofspreadsheetregressionroutinewithnumberofreceivingordersastheindependent
variable:
Constant4512.98701298698
Std.Err.ofYEst.3456.24317476605
RSquared0.633710482694768
No.ofObservations10
DegreesofFreedom8
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%
Receivingordersexplainabout63.4percentofthevariabilityinreceivingcost,providing
evidencethatTracy'schoiceofacostdriverisreasonable.However,otherdriversmayneedtobe
consideredbecause63.4percentmaynotbestrongenoughtojustifytheuseofonlyreceiving
orders.
3.Regressionwithpoundsofmaterialastheindependentvariable:
Constant5632.28109733183
Std.Err.ofYEst.2390.10628259277
RSquared0.824833789433823
No.ofObservations10
DegreesofFreedom8
XCoefficient(s)0.0449642991356633
Std.Err.ofCoef.0.0073259640055344
V=$0,045perpoundofmaterialdelivered(rounded)
F=$5,632(rounded)
Y=$5,632+S0.045X
R2=0.825,or82.5%
Poundsofmaterialdeliveredexplainsabout82.5percentofthevariabilityinreceivingcost.
ThisisabetterresultthanthatofthereceivingordersandshouldconvinceTracytotrymultiple
regression.
4.Regressionroutinewithpoundsofmaterialandnumberofreceivingordersasthe
independentvariables:
Constant752.104072925631
Std.Err.ofYEst.1350.46286973443
RSquared0.951068418023306
No.ofObservations10
DegreesofFreedom7
XCoefficient(s)0.03338831510969157.14702865269395
Std.Err.ofCoef.0.004955248411983681.68182916088492
V1=$0,033perpoundofmaterialdelivered(rounded)
V2=$7,147perreceivingorder(rounded)
F=$752(rounded)
Y=$752+$0.033a+$7.147b
R2=0.95,or95%
Multipleregressionwithbothvariablesexplains95percentofthevariabilityinreceivingcost.
Thisisthebestresult.
5-2
1.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,theMyronandCoe
jobswouldgivethesameanswer.)
2.LadanMyronCoeWalkerWillis
BeginningWIP$1,730$1,180$2,500$0$0
Directmaterials400150260800760
Directlabor800900650350900
Appliedoverhead16018013070180
Total$3,090$2,410$3,540$1,220$1,840
Note:Thisisjustonewayofsettingupthejob-ordercostsheets.Youmightprefertokeep
thedetailonthematerials,labor,andoverheadinbeginninginventorycosts.
3.SincetheLadanandMyronjobswerecompleted,theothersmuststillbeinprocess.
Therefore,theendingbalanceinWorkinProcessisthesumofthecostsoftheCoe,Walker,and
Willisjobs.
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(1.5?$5,500)$8,250
Costofgoodssold5,500
Grossmargin$2,750
Marketingandadministrativeexpenses1,200
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
3.Job#73Job#74
Plantwide:
70?$9.40=$65870?$9.40=$658
Departmental:
20?$6.25$125.0050?$6.25$312.50
50?$221,100.0020?$22440.00
$1,225.00$752.50
DepartmentBappearstobemoreoverheadintensive,sojobsspendingmoretimein
DepartmentBoughttoreceivemoreoverhead.Thus,departmentalratesprovidemoreaccuracy.
4.Plantwiderate:$250,000/40,000=$6.25
DepartmentB:$62,500/10,000=$6.25
Job#73Job#74
Plantwide:
70?$6,25=$437.5070?$6.25=$437.50
Departmental:
20?$6.25$125.0050?$6.25$312.50
50?$6.25312.5020?$6.25125.00
$437.50$437.50
Assumingthatmachinehoursisagoodcostdriver,thedepartmentalratesrevealthat
overheadconsumptionisthesameineachdepartment.Inthiscase,thereisnoneedfor
departmentalrates,andaplantwiderateissufficient.
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
3.Job#73Job#74
Plantwide:
70?$9.40=$65870?$9.40=$658
Departmental:
20?$6.25$125.0050?$6.25$312.50
50?$221,100.0020?$22440.00
$1,225.00$752.50
DepartmentBappearstobemoreoverheadintensive,sojobsspendingmoretimein
DepartmentBoughttoreceivemoreoverhead.Thus,departmentalratesprovidemoreaccuracy.
4.Plantwiderate:$250,000/40,000=$6.25
DepartmentB:$62,500/10,000=$6.25
Job#73Job#74
Plantwide:
70?$6.25=$437.5070?$6.25=$437.50
Departmental:
20?$6.25$125.0050?$6.25$312.50
50?$6.25312.5020?$6.25125.00
$437.50437.50
Assumingthatmachinehoursisagoodcostdriver,thedepartmentalratesrevealthat
overheadconsumptionisthesameineachdepartment.Inthiscase,thereisnoneedfor
departmentalrates,andaplantwiderateissufficient.
5-5
1.Lastyear'sunit-basedoverheadrate=$50,000/10,000=$5
Thisyear'sunit-basedoverheadrate=$100,000/10,000=$10
LastYearThisYear
Bikecost:
2?$20$40$
3?$123636
Overhead:
5?$5
5?$10
Total$101$126
Pricelastyear=$101?1.40=$141,40/day
Pricethisyear=$126?1.40=$176.40/day
Thisisa$35increaseoverlastyear,nearlya25percentincrease.NodoubttheCarsonsare
notpleasedandwouldconsiderlookingaroundforotherrecreationalpossibilities.
2.Purchasingrate=$30,000/10,000=$3perpurchaseorder
Powerrate=$20,000/50,000=$0.40perkilowatthour
Maintenancerate=$6,000/600=$10permaintenancehour
Otherrate=$44,000/22,000=$2perDLH
B汰eRentalPicnicCatering
Purchasing
$3?7,000$21,000
$3?3,000$9,000
Power
$0.40?5,0002,000
$0.40?45,00018,000
Maintenance
$1075005,000
$10?1001,000
Other
$2?11,00022,00022,000
Totaloverhead$50,000$50,000
3.Thisyear'sbikerentaloverheadrate=$50,000/10,000=$5
Carsonrentalcost=(2?$20)+(3?$12)+(5?$5)=$101
Price=1.4?$101=$141.40/day
4.Cateringrate=$50,000/11,000=$4.55*perDLH
CostofEstesjob:
Bikerentalrate(2?$7,50)$15.00
Bikeconversioncost(2?$5.00)10.00
Cateringmaterials12.00
Cateringconversion(1?$4.55)4.55
Totalcost$41.55
*Rounded
5.TheuseofABCgivesMountainViewRentalsabetterideaofthetypesandcostsofactivities
thatareusedintheirbusiness.AddingLevel4bikeswillincreasetheuseofthemostexpensive
activities,meaningthattherentalratewillnolongerbeanaverageof$5perrentalday.Mountain
ViewRentalsmightneedtosetaLevel4pricebasedontheincreasedcostofboththebikeand
conversioncost.
分步成本法
6-1
CuttingSewingPackaging
DepartmentDepartmentDepartment
Directmaterials$5,400$900$225
Directlabor1501,800900
Appliedoverhead7503,600900
Transferred-incost:
Fromcutting6,300
Fromsewing12,600
Totalmanufacturingcost$6,300$12,600$14,625
2.a.WorkinProcess—Sewing6,300
WorkinProcess-Cutting6,300
b.WorkinProcess—Packaging12,600
WorkinProcess—Sewing12,600
c.FinishedGoods14,625
WorkinProcess—Packaging14,625
3.Unitcost=$14,625/600=$24.38*perpair
6-2
1.Unitstransferredout:27,000+33,000-16,200=43,800
2.Unitsstartedandcompleted:43,800-27,00()=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:
(16,200?100%)16,200
(16,200725%)4,050
Equivalentunitsofoutput60,00047,850
6-3
1.Physicalflowschedule:
Unitstoaccountfor:
Unitsinbeginningworkinprocess80,000
Unitsstartedduringtheperiod160,000
Totalunitstoaccountfor240,000
Unitsaccountedfbr:
Unitscompletedandtransferredout:
Startedandcompleted120,000
Frombeginningworkinprocess80,000200,00()
Unitsinendingworkinprocess40,000
Totalunitsaccountedfor240,000
2.Unitscompleted200,000
Add:UnitsinendingWIP?Fractioncomplete
(40,000?20%)8,000
Equivalentunitsofoutput208,000
3.Unitcost=($374,400+$1,258,400)/208,000=$7.85
4.Costtransferredout=200,000?$7.85=$1,570,000
CostofendingWIP=8,000?$7.85=$62,800
5.Coststoaccountfor:
Beginningworkinprocess$374,400
IncurredduringJune1,258,400
Totalcoststoaccountfor$1,632,800
Costsaccountedfor:
Goodstransferredout$1,570,000
Goodsinendingworkinprocess62,800
Totalcostsaccountedfor$1,632,800
6-3
1、
UnitstOaccountfor:
Unitsinbeginningworkinprocess(25%completed)10000
Unitsstartedduringtheperiod70000
Totalunitstoaccountfor80000
Unitsaccountedfor
Unitscompletedandtransferredout
Startedandcompleted50000
Frombeginningworkinprocess1000060000
Unitsinendingworkinprocess(60%completed)20000
Totalunitsaccountedfor80000
2、
60000+20000X60%=72000(units)
3、
Unitcostformaterials:
($/unit)
Unitcostforconvension:
($/unit)
Totalunitcost:
5+1.13=6.13($/unit)
4、
Thecostofunitsoftransferredout:
60000x6.13=367800($)
Thecostofunitsofendingworkinprocess:
20000x5+20000x20%x1.13=113560($)
作業(yè)成本法
4-2
1.Predeterminedrates:
DrillingDepartment:Rate=$600,000/280,000=$2.14*perMHr
AssemblyDepartment:Rate=$392,000/200,000
=$1.96perDLH
"Rounded
2.Appliedoverhead:
DrillingDepartment:$2.147288,000=$616,320
AssemblyDepartment:$1.96?196,000=$384,160
Overheadvariances:
DrillingAssemblyTotal
Actualoverhead$602,000$412,000$1,014,000
Appliedoverhead616,320384,1601,000,480
Overheadvariance$(14,320)over$27,840under$13,520
3.Unitoverheadcost=[($2.14?4,000)+($1.96?1,600)]/8,000
=$11,696/8,000
=$1.46*
*Rounded
4-3
1.Yes.Sincedirectmaterialsanddirectlaboraredirectlytraceabletoeachproduct,theircost
assignmentshouldbeaccurate.
2.Elegant:(1.75?$9,000)/3,000=$5.25perbriefcase
Fina:(1.75?$3,000)/3,000=$1.75perbriefcase
Note:Overheadrate=$21,000/$12,000=$1.75perdirectlabordollar(or175percentof
directlaborcost).
TherearemoremachineandsetupcostsassignedtoElegantthanFina.Thisisclearlya
distortionbecausetheproductionofFinaisautomatedandusesthemachineresourcesmuchmore
thanthehandcraftedElegant.Infact,theconsumptionratioformachiningis0.10and0.90(using
machinehoursasthemeasureofusage).Thus,Finausesninetimesthemachiningresourcesas
Elegant.Setupcostsaresimilarlydistorted.Theproductsuseanequalnumberofsetupshours.Yet,
ifdirectlabordollarsareused,thentheElegantbriefcasereceivesthreetimesmoremachining
coststhantheFinabriefcase.
3.Overheadrate=$21,000/5,000
=$4.20perMHr
Elegant:($4.20?500)/3,000=$0.70perbriefcase
Fina:($4.20?4,500)/3,000=$6.30perbriefcase
Thiscostassignmentappearsmorereasonablegiventherelativedemandseachproduct
placesonmachineresources.However,onceafirmmovestoamultiproductsetting,usingonly
oneactivitydrivertoassigncostswilllikelyproduceproductcostdistortions.Productstendto
makedifferentdemandsonoverheadactivities,andthisshouldbereflectedinoverheadcost
assignments.Usually,thismeanstheuseofbothunit-andnonunit-levelactivitydrivers.Inthis
example,thereisaunit-levelactivity(machining)andanonunit-levelactivity(settingup
equipment).Theconsumptionratiosforeach(usingmachinehoursandsetuphoursastheactivity
drivers)areasfollows:
ElegantFina
Machining0.100.90(500/5,000and4,500/5,000)
Setups0.500.50(100/200and100/200)
Setupcostsarenotassignedaccurately.Twoactivityratesareneeded—onebasedon
machinehoursandtheotheronsetuphours:
Machinerate:$18,000/5,000=$3.60perMHr
Setuprate:$3,000/200=$15persetuphour
Costsassignedtoeachproduct:
Machining:ElegantFina
$3.60?500$1,800
$3.60?4,500$16,200
Setups:
$15?1001,5001,500
Total$3,300$17,700
Units3,000(3,000
Unitoverheadcost$1.10$5.90
4:ElegantUnitoverheadcost:[9000+3000+18000*500/5000+3000/2]/3000=$5.1
FinaUnitoverheadcost:[3000+3000+18000*4500/5000+3000/2]/3000=$7.9
4-5
1.DeluxePercentRegularPercent
Price$900100%$750100%
Cost5766460080
Unitgrossprofit$32436%$15020%
Totalgrossprofit:
($324?100,000)$32,400,000
($150?800,000)$120,000,000
2.Calculationofunitoverheadcosts:
Deluxegular
Unit-level:
Machining:
$200?100,000$20,000,000
$200?300,000$60,000,000
Batch-level:
Setups:
$3,000?300900,000
$3,000?200600,000
Packing:
$20?100,0002,000,000
$20?400,0008,000,000
Product-level:
Engineering:
$40?50,0002,000,000
$40?100,0004,000,000
Facility-level:
Providingspace:
$1?200,000200,000
$1?800,000800,000
Totaloverhead$25,100,000$73,400,000
Units4-100,000+800,000
Overheadperunit$251$91.75
DeluxePercentRegularPercent
Price$900100%$750.00100%
Cost780*87***574.50**77***
Unitgrossprofit$12013%***$175.5023%***
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