正确答案:(a)BasicvariancesLabourratevarianceStandardcostoflabourperhour=$42/3=$14perhour.Labourratevariance=(actualhourspaidxactualrate)–(actualhourspaidxstdrate)Actualhourspaidxactualrate=$531,930.Actualhourspaidxstdrate=37,000x$14=$518,000.Thereforeratevariance=$531,930–$518,000=$13,930ALabourefficiencyvarianceLabourefficiencyvariance=(actualproductioninstdhours–actualhoursworked)xstdrate[(12,600x3)–37,000]x$14=$11,200F(b)PlanningandoperationalvariancesLabourrateplanningvariance(Revisedrate–stdrate)xactualhourspaid=[$14·00–($14·00x1·02)]x37,000=$10,360A.LabourrateoperationalvarianceRevisedratexactualhourspaid=$14·28x37,000=$528,360.Actualcost=$531,930.Variance=$3,570A.Labourefficiencyplanningvariance(Standardhoursforactualproduction–revisedhoursforactualproduction)xstdrateRevisedhoursforeachpairofgloves=3·25hours.[37,800–(12,600x3·25)]x$14=$44,100A.Labourefficiencyoperationalvariance(Revisedhoursforactualproduction–actualhoursforactualproduction)xstdrate(40,950–37,000)x$14=$55,300F.(c)AnalysisofperformanceAtafirstglance,performancelooksmixedbecausethetotallabourratevarianceisadverseandthetotallabourefficiencyvarianceisfavourable.However,theoperationalandplanningvariancesprovidealotmoredetailonhowthesevarianceshaveoccurred.Theproductionmanagershouldonlybeheldaccountableforvarianceswhichhecancontrol.Thismeansthatheshouldonlybeheldaccountablefortheoperationalvariances.Whentheseoperationalvariancesarelookedatitcanbeseenthatthelabourrateoperationalvarianceis$3,570A.Thismeansthattheproductionmanagerdidhavetopayforsomeovertimeinordertomeetdemandbutthemajorityofthetotallabourratevarianceisdrivenbythefailuretoupdatethestandardforthepayrisethatwasappliedatthestartofthelastquarter.Theovertimeratewouldalsohavebeenimpactedbythatpayincrease.Then,whenthelabourefficiencyoperationalvarianceislookedat,itisactually$55,300F.Thisshowsthattheproductionmanagerhasmanagedhisdepartmentwellwithworkerscompletingproductionmorequicklythanwouldhavebeenexpectedwhenthenewdesignchangeistakenintoaccount.Thetotaloperatingvariancesaretherefore$51,730Fandsooverallperformanceisgood.Theadverseplanningvariancesof$10,360and$44,100donotreflectontheperformanceoftheproductionmanagerandcanthereforebeignoredhere.