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1-A1 (10-15min.)
Informationisoftenusefulformorethanonefunction,sothefollowingclassificationsforeachactivityarenotdefinitivebutserveasastartingpointfordiscussion:
1.
Scorekeeping.
Adepreciationscheduleisusedinpreparingfinancial
statementstoreporttheresultsofactivities.
Problemsolving. Helpsamanagerassesstheimpactofapurchasedecision.
2.
3.
Scorekeeping.
Reportsontheresultsofanoperation. Couldalsobe
attentiondirectingifscrapisanareathatmightrequiremanagementattention.Attentiondirecting. Focusesattentiononareasthatneedattention.
Attentiondirecting. Helpsmanagerslearnabouttheinformationcontainedinaperformancereport.
4.
5.
6.
Scorekeeping.
Thestatementreportswhathashappened. Couldalsobe
attentiondirectingifthereporthighlightsaproblemorissue.
Problemsolving. Assumingthecostcomparisonistohelpthemanagerdecidebetweentwoalternatives,thisisproblemsolving.
Attentiondirecting. Variancespointoutareaswhereresultsdifferfrom
7.
8.
expectations.differences.
Interpretingthemdirectsattentiontopossiblecausesofthe
9.
10.
Problemsolving.
Aidsadecisionaboutwheretomakeparts.
Attentiondirectingandproblemsolving. Budgetinginvolvesmakingdecisionsaboutplannedactivities--hence,aidingproblemsolving. Budgetsalsodirectattentiontoareasofopportunityorconcern--hence,directing
attention.
Reportingagainstthebudgetalsohasascorekeepingdimension.
1-B1
(15-20min.)
Informationisoftenusefulformorethanonefunction,sothefollowingclassificationsforeachactivityarenotdefinitivebutserveasastartingpointfordiscussion:
1.
Problemsolving. Providesinformationfordecidingbetweentwoalternativecoursesofaction.
2.
Scorekeeping.
Recordingwhathashappened. Ifamountsarecompared
withexpectations,thiscouldalsoserveanattention-directingfunction.Problemsolving.Helpsamanagerdecideamongalternatives.
Attentiondirecting. Directsattentiontotheuseofovertimelabor.Alsoscorekeeping.
Problemsolving. Providesinformationtomanagersfordecidingwhethertomovecorporateheadquarters.
Attentiondirecting. Directsattentiontowhynursingcostsincreased.Attentiondirecting. Directsattentiontoareaswhereactualresultsdifferedfromthebudget.
Problemsolving. Helpsthevice-presidentdecidewhichcourseofactionisbest.
3.
4.
5.
6.
7.
8.
9.
Problemsolving. Producesinformationtohelpthemarketingdepartmentmakeadecisionaboutamarketingcampaign.
10.
Scorekeeping.
Recordsactualovertimecosts. Ifresultsarecomparedwith
expectations,alsoattentiondirecting.
Attentiondirecting. Directsattentiontostoreswitheitherhighorlowratiosofadvertisingexpensestosales.
Attentiondirecting. Directsattentiontocausesofreturnsofthedrug.Attentiondirectingorproblemsolving,dependingontheuseoftheschedule.Ifitistoidentifyareasofhighfuelusageitisattentiondirecting. Ifitistoplanforpurchasesoffuel,itisproblemsolving.
11.
12.
13.
14.
Scorekeeping.
Recordsitemsneededforfinancialstatements.
1-1Internalmanagersandexternalpartiesuseaccountinginformation:
a.
Internalreportingisusedbymanagersforplanningandcontrollingoperations,specialdecision-making,andlong-rangeplanning.
Externalreportingisusedbystockholders,investors,taxingauthorities,governmentregulators,andotherinterestedparties.
Thebranchofaccountingdescribedinthequotationismanagement
b.
1-3
accounting.
1-26
Thefourmajorresponsibilitiesare:
(1)competence-developknowledge;
knowandobeylaws,regulations,andtechnicalstandards;andperformappropriateanalyses,(2)confidentiality-refrainfromdisclosingorusingconfidentialinformation,(3)integrity-avoidconflictsofinterest,refusegiftsthatmightinfluenceactions,recognizelimitations,andavoidactivitiesthatmightdiscredittheprofession,and(4)credibility-communicateinformationfairly,objectively,andcompletely,withinconfidentialityconstraints.
2-A2:answers
1.LetN=numberofunits
Sales=Fixedexpenses+Variableexpenses+Netincome
$1.00N=$6,000+$0.8N+0
N=30,000units
LetS=salesindollarsS=$6,000+$0.8S+0S=$30,000
2.(40,000-30,000)*$0.20=$2,000
$1.00*40,000-$0.8*40,000-6,000=$2,000
3.Fixedexpenses=$6,000+$1,552=$7,552
Thenumberofunitsinbreak-evenpoint=$7,552/$0.20=37,760unitsThesalesinbreak-evenpoint=$7,552/0.20=$37,760
4.
Newcontributionmarginis$0.18perunit
Thenumberofunitsinbreak-evenpoint=$6,000/$0.18=33,333unitsThesalesinbreak-evenpoint=$6,000/0.18=$33,333
5.Newcontributionmarginis$0.15perunitinexcessofthebreak-evenpointThenewincome=(40,000-30,000)*$0.15=$1500
Note:theslopeofthetotalcostlinewouldhaveakinkupwardbeginningatthebreak-evenpoint.
2-57:answersAnswersareinmillions1.
Sales
Variablecosts:
VariablecostsofgoodssoldVariableotheroperatingexpenses
$9,416
$5,847
$896
=$7,247-$1,400
=$2,896-$2,000
$6,743
$2,673
$2,673/$9,416=0.28387850or28.4%
ContributionmarginContributionmarginpercentage
Seepage74:Exhibit2-10
Contributionmargin=sales–totalvariablecosts=sales–(A+C)Grossmargin=sales–totalproductioncost=sales–(A+B)
Predictedsalesincrease=$9,416*0.10=$941.6Additionalcontributionmargin=$941.6*28.4%=$267.3Fixedcostsdonotchange
Predicted2009operatingloss=$(727)+$267.3=$(459.7)
Assumptionsinclude:
Feesorcostsaredividedintotwotypes:fixedandvariablecosts.
Thebehaviorofrevenuesandexpensescouldbeportrayedaccurately,Theywithinthescopeoftherelevantrangeislinear.
Efficiencyorproductionefficiencyremainsunchanged.Salesmixremainsunchanged
are
Thenumberofsalesisequaltothenumberofoutput.Changesininventorylevelsarenegligibleduringtheperiod.
3-A1
(20-25min.)
Someoftheseanswersarecontroversial,andreasonablecasescanbebuiltfor
alternativeclassifications.
Classdiscussionoftheseanswersshouldleadto
worthwhiledisagreementsaboutanticipatedcostbehaviorwithregardtoalternativecostdrivers.
1.
2.
3.
4.
5.
6.
7.
(b)Discretionaryfixedcost.
(e)Stepcost.
(a)Purelyvariablecostwithrespecttorevenue.
(a)Purelyvariablecostwithrespecttomilesflown.
(d)Mixedcostwithrespecttomilesdriven.
(c)Committedfixedcost.
(b)Discretionaryfixedcost.
8.
9.
10.
11.
(c)Committedfixedcost.
Purelyvariablecostwithrespecttocasesof7-Up.
Discretionaryfixedcost.
(b)Discretionaryfixedcost.
3-A3
(25-30min.)
1.
High-LowMethod:
SupportCost
$13,500
9,000
$ 4,500
MachineHours
1,750
850
900
Highmonth=SeptemberLowmonth=MayDifference
Variablecostpermachinehour
= Changeincost÷Changeincostdriver
=$4,500÷900=$5.00
Fixedsupportcostpermonth=Totalsupportcost-Variablesupportcost
Atthehighpoint:
=$13,500-$5.00×1,750
=$13,500-$8,750
=$
4,750
oratthelowpoint:
=$
=$
=$
9,000-$5.00×850
9,000-$4,250
4,750
Thehigh-lowmethodusesthehighandlowactivitylevelstodeterminethecostfunction.SincethenewOctoberdataformachinehoursdoesnotchangeeitherthehighorlowleveltherewouldbenochangeintheanalysis.
2.
3.
Theregressionanalysisresultsdifferfromtheresultsofthehigh-lowmethod.Asaresult,estimatesoftotalsupportcostmaydifferconsiderablydependingontheexpectedmachinehourusage. Forexample,considerthefollowingsupportcostestimatesatthreelevelsofmachinehourusage(allwithintherelevantrange):
MachineHourUsage
950Hours
1,200Hours
1,450Hours
High-Low:FixedVariable:
$4,7504,750
$
4,750
$ 4,750
$5.00×950
$5.00×1,200
$5.00×1,450
6,000
7,250
$12,000
Total
$9,500
$10,750
Regression:FixedVariable:
$3,3555,795
$
3,355
$ 3,355
$6.10× 950
$6.10×1,200
$6.10×1,450
7,320
8,845
$12,200
Total
$9,150
$10,675
Becausethehigh-lowmethodhasalowervariablecostestimate,theregression-basedpredictionsexceedthehigh-low-basedpredictionsathigherlevelsofmachineusage,whilethehigh-lowestimatesaregreateratlowerlevelsofusage. Thehigh-lowmethodusedonlytwodatapoints,sotheresultsmaynotbereliable. Fernandezwouldbeadvisedtousetheregressionresults,whicharebasedonallrelevantdata.
3-7
Committedfixedcostsarecoststhatareoftendrivenbytheplannedscaleof
operations.
Thesecoststypicallycannotbechangedeasilyorquickly
withoutdrasticallychangingtheoperationsoftheorganization. Typicalcommittedfixedcostsincludeleaseormortgagepayments,propertytaxes,andlong-termmanagementcompensation. Discretionaryfixedcostsarecoststhatmaybenecessarytoachievecertainoperationalgoals,buttherearenocontractualobligationstocontinuethesepayments. Typicaldiscretionaryfixedcostsincludeadvertising,researchanddevelopment,andemployeetrainingprograms. Thedistinctionbetweencommittedanddiscretionaryfixedcostsisthatdiscretionaryfixedcostsareflexibleandcouldbeincreased,decreased,oreliminatedentirelyonshortnoticeifnecessary,butcommittedfixedcostsusuallymustbeincurredforsometime--greatereffortisneededtochangeoreliminatethem.
3-16
Engineeringanalysisisamethodofidentifyingandmeasuringcostandcostdriverrelationshipsthatdoesnotrequiretheuseofhistoricaldata.
Engineeringanalysisproceedsbytheuseofinterviews,experimentation,andobservationofcurrentcostgeneratingactivities. Engineeringanalysiswillbemorereliableiftheorganizationhashadpastexperiencewiththeactivities.
R2isagoodness-of-fitstatisticthatdescribesthepercentageofvariationin
costexplainedbychangesinthecostdriver.
3-24
3-36
(10-15min.)
Theremaybesomedisagreementabouttheseclassifications,butreasonsforalternativeclassificationsshouldbeexplored.
Cost
Discretionary
Committed
AdvertisingDepreciation
CompanyhealthinsuranceManagementsalariesPaymentoflong-termdebtPropertytax
GroundsmaintenanceOfficeremodelingResearchanddevelopment
Totals
$22,000
$
47,000
21,000
85,000
50,000
32,000
9,000
21,000
46,000
$98,000
$235,000
3-39
(15-20min.)
Thetotalcostforthemonthis$1,570+(5×$1,600)=$9,570,basedonthefollowingcostfunctioninformation:
CostPhone
UtilitiesAdvertisingInsuranceMaterialsLaborTotals
Algebraically,
Fixedpermonth
Variablepercomputer
$
50
65
75
80
$1,500
100
$1,600percomputer
1,300
$1,570permonth
y=$1,570+$1,600x,
wherey=totalcostpermonth
x=numberofcomputers
3-40
(5min.)
Allofthefunctionsexcept(e)arelinearcostfunctions. Functions(c)and(d)and(f)aremixedcosts. Notethat(e)isnotlinearbecauseX1andX2are
multiplied.
3-50
(10-15min.)
1.
Variablecost/unit=($1,131-$649)?(136-71)=$482?65=$7.4154Fixedcost=$1,131-(136×7.4154)=$1,131-$1,008.49=$122.51
Predictedcostfor510units=($122.51×4)+(510×$7.4154)=$4,271.89
Noticethatthedataarequarterlyobservations. Thus,theannualfixedcostis4timesthecomputed(quarterly)fixedcost.
2.
Predictedcostfor510units=($355×4)+(510×$5.77)=$4,362.70
3.
Theregressionanalysisgivesbettercostestimatesbecauseitusesallthedatatoformacostfunction. Thetwopointsusedbythehigh-lowmethodmaynotberepresentativeofthegeneralrelationbetweencostsandvolume.
4-A4
(20-30min.)
1.
Thefirststepistodeterminethecostpercost-driverunitforeachactivity:
MonthlyManufacturingOverhead
$12,00020,000
16,000
$48,000
Cost-DriverActivity
$200,000
20
400,000
CostperDriverUnit
$0.061,000.00
0.04
Activity[Costdriver]
MaterialHandling[Directmaterialscost]Engineering[Engineeringchangenotices]Power[Kilowatthours]
TotalManufacturingOverhead
Next,thecostsofeachactivitycanbeallocatedtoeachofthethreeproducts:
PHYSICALFLOW/ALLOCATEDCOST
Cost
MaterialHandling125,000=$7,500
Engineering2,000
Power
Senior
$.06×25,000=$1,500
Basic
$.06×50,000=$3,000$.06
Deluxe
×
$1,000×13= 13,000
$1,000×5=
5,000$1,000
×2=
$.04×50,000=
2,000$.04×200,000=
8,000$.04×
150,000
=
Total
6,000
$16,500
$15,500
$16,000
2.
Overheadratebasedondirectlaborcosts:
Rate=Totalmanufacturingoverhead÷Totaldirectlaborcost
= $48,000÷$8,000=
$6.00/DL$
Overheadallocatedtoeachproductis:
Senior:Basic:
$6.00×4,000
$6.00×1,000
=
=
$24,000
6,000
Deluxe:Total
$6.00×3,000
=
18,000
$48,000
NoticethatmuchlessmanufacturingoverheadcostisallocatedtoBasicusingdirectlaborasacostdriver.Why?BecauseBasicusesonlyasmallamountoflaborbutlargeamountsofotherresources,especiallypower.
Theproductcostsinrequirement1aremoreaccurateifthecostdriversaregoodindicatorsofthecausesofthecosts--theyarebothplausibleandreliable.Forexample,kilowatthoursiscertainlyabettermeasureofthecostofpowercoststhanisdirectlaborhours.Therefore,theallocationofpowercostsinrequirement1iscertainlybetterthaninrequirement2.Materialshandling
3.
andengineeringarelikewisemoreplausible.
Amanagerwouldbemuch
moreconfidentinthemanufacturingoverheadallocatedtoproductsinrequirement1.Remember,however,thatthereareincrementalcostsofdatacollectionassociatedwiththemoreaccurateABCsystem.Thebenefit/costcriteriamustbeappliedindecidingwhichcostingsystemis“best.”
4-B2
(25-30min.)
1.
$1,080,000÷45,000hours=$24perdirect-laborhour
2.
(a)
(b)
$585,000÷15,000hours=$39perdirect-laborhour
$495,000÷30,000hours=$16.50perdirect-laborhour
3.
(a)
(b)
$585,000÷97,500hours=$6permachinehour
$495,000÷30,000hours=$16.50perdirect-laborhour
4.
(a)
$24×(1.0+14.0)=$360.00
$24×(1.5+
$24×(1.3+
3.0)=$108.00
8.0)=$223.20
(b)
($39×1.0)+($16.50×14.0)=$39.00+$231.00=$270.00
($39×1.5)+($16.50×($39×1.3)+($16.50×
3.0)=$58.50+$
49.50=$108.00
8.0)=$50.70+$132.00=$182.70
(c)
($6×12.0)+($16.50×14.0)=$
72.00+$231.00=$303.00
($6×17.0)+($16.50×($6×14.0)+($16.50×
3.0)=$102.00+$
49.50=$151.50
8.0)=$
84.00+$132.00=$216.00
Firstconsiderusingdepartmentalinsteadoffirm-widerates(partbvs.parta).Departmentalratesthatusedirect-laborhoursasthebasedecreasethecostappliedtounitsofAandCandleaveBunaffected.Otherproductsthatuserelativelylessassemblytimewillincreaseincost.Nowexaminechangingtoabaseofmachinehoursinmachining(partcvs.parta).ProductBistheonlyonewithanincreaseincostin(c)
(d)
comparedto(a).
Why? BecauseB'susesonly16%ofthedirectlabor
hoursusedforA,B,andC,soitisisallocatedonly16%ofthecosts
allocatedonthebasisofdirectlaborhours.
Butituses40%ofthe
machinehours,andthereisallocated40%ofcoststhatareallocatedonthebasisonmachinehours.Therefore,itreceivesrelativelymorecostswithabaseofmachinehoursthanwithabaseofdirect-laborhours.
4-B3 (30-35min.)
1.Theexistingsystemallocatesallcostsbasedondirectlaborcost.allocatingindirectproductioncostsis:
Theratefor
Estimatedindirectproductioncost÷Estimateddirectlaborcost
=¥24,500,000÷¥35,000,000=70%
Thatis,eachtime¥1isspentondirectlabor,Watanabeadds¥0.7ofindirectproductioncosttothecostoftheproduct.
2.
UnderanABCsystem,Watanabewouldallocateindirectproductioncosts
separatelyforeachactivity.
Thiswouldresultinthefollowingfourallocationrates:
Receiving:
Receivingcosts÷Directmaterialcost
=¥4,800,000÷60,000,000=¥0.08per¥1ofdir.mat.
Assemblycosts÷Numberofcontrolunits
=¥13,800,000÷92,000=¥150percontrolunitQualitycontrolcost÷QChours
=¥1,800,000÷600=¥3,000perQChour
Shippingcost÷#ofboxesshipped
=¥4,100,000÷8,200=¥500perboxshipped
Assembly:
Qual.Control:
Shipping:
3. (a) Thecostwillcontain3components(inthousandsofyen):
DirectmaterialDirectlabor
Indirectproductioncost(¥2,000×.7=1,400)Totalcost
Price(¥11,400×1.3)
¥
8,000
2,000
1,400
¥11,400
¥14,820
(b)
Thecostwillhave7components,4ofthemallocatingindirectproduction
costs(totalsinthousandsofyen):
Directmaterials
Directlabor
Receiving(¥0.08×8,000)Assembly(¥150×5,000)
¥ 8,000
2,000
¥640750
Qualitycontrol(¥3,000×50)Shipping(¥500×600)
TotalindirectproductioncostTotalcost
Price(11,840×1.3)
150
300
1,840
¥11,840
¥15,392
4.
TheorderfromNissanrequiresarelativelylargeamountofreceiving,quality
control,andshippingresourcescomparedtotherelativeamountoflaborrequired.Thismakesitsindirectproductioncostsarerelativelyexpensiverelativetothelaborrequired.Thefollowingillustrateswhyanallocationonthebasisoflaborcostresultsinlesscoststhanallocationsbasedonthefouractivities:
BudgetedCost-AllocationBas
60,000,000
35,000,000
60,000,000
92,000
600
8,200
NissanCost-AllocationBase8,000,000
2,000,000
8,000,000
5,000
50
600
NissanPercentage
13.3%
5.7
13.3
5.4
8.3
7.3
Activity
DirectmaterialsDirectlaborReceivingAssemblyQualitycontrolShipping
Usingthesingledirect-laborcost-allocationbase,thisorderwouldreceive5.7%ofallindirectproductioncosts.ThemainreasonthatindirectproductioncostsforthisorderundertheABCsystemarerelativelyhighisthelargerelativecostofmaterialsthatdrivesalargeallocation(13.3%)ofreceivingcoststothisorder.Theallocationsofbothqualitycontrolandshippingcostsareslightlylargerthattheywouldbeusingadirect-laborcost-allocationbase,whiletheallocationofassemblycostsisslightlysmaller.
4-1
Acostmanagementsystemisacollectionoftoolsandtechniquesthatidentifieshowmanagement’sdecisionsaffectcosts.ThethreepurposesofaCMSaretoprovide
1.
2.
3.
costinformationforoperationalcontrol,costinformationforstrategicdecisions,and
measuresofinventoryvalueandcostofgoodsmanufactured(orpurchased)forexternalreportingtoinvestors,creditors,andotherexternalstakeholders.
4-8
Managerscanspecificallyandexclusivelyidentifydirectcostswithagiven
costobject(thatis,directlytracethem)inaneconomicallyfeasibleway.Indirectcosts
cannotbesoidentified.
However,managerscanusuallyidentifyaplausibleand
reliablecostdrivertousetoallocateresourcecoststocostobjectsthatconsumethe
resources.
Whendirecttracingisnoteconomicallyfeasibleandaplausibleand
reliablecostdrivercannotbefound,costsshouldremainunallocated.
4-13
No.Thecostsinacostpoolarenotphysicallytracedtocostobjects.Only
directcostsaretracedtocostobjects.
Acostpoolcontainsindirectcoststhatare
allocatedtocostobjectsusingasinglecost-allocationbase.
4-21
Manufacturingisthetransformationofmaterialsintoothergoodsthroughthe
useoflaborandfactoryfacilities.Incontrast,merchandisingcompanies(retailersorwholesalers)sellgoodswithoutchangingtheirbasicforms.Manufacturingcompaniesdifferfrommerchandisingcompaniesinthewaytheyaccumulateandreportthecostofinventories.Merchandisingcompaniesshowinventoriesatthecosttheypayto
acquirethem.
Incontrast,manufacturingcompaniesclassifyproductioncostsas
either(1)directmaterial,(2)directlabor,or(3)indirectproductioncosts,andtheyusetheaccountingsystemtodeterminehowmuchcostofeachtypeshouldbeassignedtoproductinventories.
4-30
Thefourstepsare:
Step1.
DeterminethekeycomponentsoftheABCsystem(costobjects,keyactivities,resources,andrelatedcostdrivers).
Determinetherelationshipsamongcostobject,activities,andresources.Collectrelevantdataconcerningcostsandphysicalflowofcost-driverunitsamongresourcesandactivities.
Calculateandinterpretthenewactivity-basedcostinformation.
Step2.
Step3.
Step4.
4-36
(10min.)
Thisexerciseemphasizeshowagivencostitemmaybeseenfromdifferentviewpoints.Classroomuseofsuchexerciseswillgetstudentsthinkinginsteadofmemorizing.Surely,classroomdiscussionatthisearlystageofthecoursewillnotsettlethestudent'smindonmanyissues.Exceptionscanbecitedfornearlyeveryanswer.Theclasswillrarelybeabletodiscussmorethanhalftheitems.Thisshouldnotdisturbthe
instructor.
Toaccomplishthepurposeoftheseproblems,everyitemneednotbe
discussedinprolongeddetail.
ManufacturingCosts
Direct(D)orIndirect(I)
IID
Variable(V)or
Fixed(F)F
FV
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
IIIIIDI
FVVVVVV
4-39
(10min.)
UsingExhibit4-7andthechapterdiscussionoftheLopezPlasticsproductionandcostaccountingsystem,theclassificationofthesecostsandresourcesis:
1.
2.
3.
4.
5.
6.
7.
8.
IDII
IorUI
DU
4-51
(20-30min.)
ThisproblemreviewsChapters2through4.Itattemptstonaildownsometermsthatoftengivestudentstrouble.Sharpdistinctionsshouldbemadeamonggrossprofit,contributionmargin,manufacturingcostofgoodssoldandvariablemanufacturingcostofgoodssold.Thisproblemwasusedoriginallyasanexamquestion.
a,c,e.Answers(a),(c),and(e)canbecomputedwithoutknowingeitherthecontributionmarginorthebreak-evenpoint.Probablytheeasiestwaytocomputetheanswersistoprepareanincomestatement,fillingintheknown
items,andthensolvingfortheunknowns.ofdollars:
Thefollowingareinthousands
Sales
Costofgoodsmanufacturedandsold(i.e.,manufacturingcostofgoodssold):Directmaterial
Directlabor
VariablemanufacturingoverheadFixedmanufacturingoverhead
TotalmanufacturingcostofgoodssoldGrossprofit
$120
$35
25
5**
15
80*
40
Sellingandadministrativeexpenses:Variable
FixedNetprofit
13***
12
25
$15
*Answer(e)issimply120-40=80.
**Answer(c)is80-(35+25+15)=5.
***Totalsellingandadministrativeexpenses=40-15=25.
Thenanswer(a)is25-12=13.
b.
Sales
DirectmaterialsDirectlabor
VariablemanufacturingoverheadVariablesellingandadministrativeContributionmargin
$120
(35)
(25)
(5)
(13)
$42
d.
Contributionmargin%=$42÷$120=35%
Break-even=(FixedMfg.overhead+FixedSell.&Adm.)÷Contributionmargin%
=$27,000÷.35=$77,143
4-52
(30-40min.)
Thisproblemwasoriginallyusedasanexamquestion.Probablytheeasiestwaytocomputetheanswersistoprepareanincomestatement,fillingintheknownitems,andthensolvingfortheunknowns.
a.
Theansweris?16,000,computedasfollows,inthousandsofdollars:
Sales
Costofgoodssold:DirectmaterialDirectlabor
VariablemanufacturingoverheadFixedmanufacturingoverheadTotalcostofgoodssold
Grossprofit
a100-20=80.
b80-(29+30+5)=16.
?100
?29
30
5
16b
80a
? 20
b.
Theansweris?11,000,computedusingthefollowingdatainthousandsofdollars:
Sales
Variablecosts:DirectmaterialDirectlabor
VariablemanufacturingoverheadVariablesellingandadministrative
expenses
TotalvariablecostsContributionmargin
?100
?29
30
5
11b
75a
?25
a100-25=75.
b75-(29+30+5)=11.
Notethatthiscanbecomputedwithouthavingto
knowthegrossprofit,thebreak-evenpoint,orthefixedmanufacturingoverheadcomputedinpart(a).
Theansweris?3,000,computedasfollows:
c.
Break-evenpoint =Totalfixedcosts÷Contributionmarginpercentage
...Totalfixedcosts=Break-evenpoint×Contributionmarginpercentage
=?84,000×.25
=?21,000
Now,Totalfixedcosts=Fixedmfg.overhead+Fixedsellingandadmin.expense
?21,000=?16,000+X
X=?5,000
Therefore,theansweris?5,000.Alternatively,fullcreditcanbegivenforananswerequalto?21,000minustheanswerinpart(a),ifthathappenedtobewrong.
Analternateapproachtopart(c)is:
LetF=Totalfixedexpenses
Break-evenpointsales=Variableexpenses+Fixedexpenses
?84,000=.75(?84,000)+F
F=?84,000-?63,000
=?21,000
Thenthefixedexpensescanbeanalyzedasbefore.
4-53
(30-35min.)
Thisproblemwasfirstusedasanexaminationquestion.
Puttingfixedandvariablecostsintoanincomestatementformatandcomputingthemissingitemsprovidesaframeworkforthissolution.
InDollars
Sales
Variableexpenses:DirectmaterialsusedDirectlabor
VariablemanufacturingoverheadVariablesellingandadministrative
Expenses
Totalvariableexpenses(110,000-40,000)Contributionmargin
Fixedexpenses:
Fixedmanufacturingoverhead
FixedsellingandadministrativeexpensesTotalfixedexpenses(40,000-22,000)
Operatingincome
110,000
31,000
16,000
13,000
X
70,000
40,000
11,000
Y
18,000
22,000
1.
Sincetotalvariableexpensesare$70,000,variablesellingandadministrativeexpensesmustbe$10,000:
X
=70,000-(31,000+16,000+13,000)
=10,000
2.
Sincetotalfixedexpensesare$18,000,fixedsellingandadministrativeexpensesmustbe$7,000:
Y=18,000-11,000
=7,000
3.
Costofgoodssoldisthetotalproduction(ormanufacturing)costofthe1,000handbags:
31,000+16,000+13,000+11,000=71,000.
4.
a.
b.
($4,000+$11,000)÷($40,000÷1,000)=$15,000÷$40=375units
LetU=units
$40U-$15,000=$14,000
U=725units
LetP=sellingprice
Variablecostsperunit=$70,000÷1,000=$70
c.
Contributionmarginperunit
=P-$70
900(P-$70)-$15,000
900P-$63,000-$15,000
=$22,500
=$22,500
900P
=$100,500
P=$111.67
5-A1
(40-50min.)
1.
INDEPENDENCECOMPANY
ContributionIncomeStatementFortheYearEndedDecember31,2009
(inthousandsofdollars)
Sales
LessvariableexpensesDirectmaterialDirectlabor
Variablemanufacturingoverhead(Schedule1)
Totalvariablemanufacturingcostofgoodssold
VariablesellingexpensesVariableadministrativeexpensesTotalvariableexpenses
ContributionmarginLessfixedexpenses:
Fixedmanufacturingoverhead(Schedule2)Sellingexpenses
AdministrativeexpensesTotalfixedexpenses
Operatingincome
$2,200
$400330
150
$880
80
25
985
1,215
$
$345220
119
684
531
$
AbsorptionIncomeStatement
FortheYearEndedDecember31,2009(inthousandsofdollars)
Sales
Lessmanufacturingcostofgoodssold:Directmaterial
Directlabor
Manufacturingoverhead(Schedules1and2)Totalmanufacturingcostofgoodssold
GrossmarginLess:
SellingexpensesAdministrativeexpenses
Operatingincome
$2,200
$400330
495
1,225
975
$
$300144
444
531
$
INDEPENDENCECOMPANY
SchedulesofManufacturingOverheadFortheYearEndedDecember31,2009(inthousandsofdollars)
Schedule1: VariableCostsSupplies
Utilities,variableportionIndirectlabor,variableportion
Schedule2: FixedCostsUtilities,fixedportionIndirectlabor,fixedportionDepreciation
PropertytaxesSupervi
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