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OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB1USTBOperationsManagementHomeworkAssignmentsByDr.Zhu，xiaoningStudentName:黄诗蕴Take-HomeProblemSolvingandEssayQuestionsProblem#1-DecisionScience(Module10DecisionAnalysisused)ABCisplanningtopublish2CDtitles:Discosin70’sandRomantic60’s.Itisexpectedthatpayofffrom70’swillbe$100Kifdemandislowand$600Kifdemandishigh.Itisalsoexpectedthatpayofffrom60’swillbe$200Kifdemandislowand$400Kifdemandishigh.Questionsa)WhichtitleshouldABCgoesfirstbasedonMaximin（中间）,Maximax（第一个）,MinimaxRegretandLaplace（最后）?b)Giveyourfinalrecommendation.(a)OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB2Maximin如下图OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB3分析：保守型方案，认为两种CD需求都low，但是推荐价格高的商品（60s的CD）Maximax如下图OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB4分析：乐观方案，认为两种商品需求都高。并且推荐价格更高的商品（60s的CD）。Minimaxregretandlaplace如下图OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB5分析：悲观的方案，认为两种CD需求都小，使用Minimax，得出解决方案为70s定价为$100K,60s定价为$200K。并且推荐价格低的商品（70s）（b）综合分析Maxmin策划的分析：保守型方案，认为两种CD需求都low，因此得出解决方案为70s定价为$100K,60s定价为$200K。但是推荐价格高的商品（60s的CD）。Maximax分析：乐观方案，认为两种商品需求都高。因此得出解决方案为70s定价为$600K,60s定价为$400K,并且推荐价格更高的商品（70s的CD）。Minmax策划的分析：悲观的方案，认为两种CD需求都小。得出解决方案为70s定价为$100K,60s定价为$200K。并且推荐价格低的商品（70s）Problem#2-WaitingLineModel(Module9WaitingLinesused)Assuming25customersarearrivingasthePoissonprobabilitydistributionwithinonehourandtheservicerateistwominutespercustomerasexponentialprobabilitydistributioninaone-linefacility.OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB6Assumingthewaitingcostpertimeperiodforeachunitis$20andtheservicecostpertimeperiodforeachchannel$18.Questionsa)Foreconomiccostanalysis,howmanychannelsshouldcompanyset?b)Giveyourreasons.（a）OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB7实验得，当channel为3，总费用为$71.11OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB8实验得，当channel为4，总费用为$88.72OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB9实验得，当channel为2，总费用为$56.17OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB10实验得，当channel为1，总费用为$118综上所述，在channel为2时，费用最低，为$56.17，之后随着channel数量增大，费用变高。Problem#3-TransportationProblem(Module2Transportationused)ArizonaPlumbingwhichmakes,amongotherproducts,afulllineofbathtubs.Tobesuccessful,thefirmmustdecidewhichofitsfactoriesshouldsupplywhichofitswarehouses.RelevantdataforArizonaPlumbingarepresentedinthefollowingtableshows,forexample,thatitcostsArizonaPlumbing5$toshiponebathtubfromitsDesMoinesfactorytoitsAlbuquerquewarehouse,$4toBoston,and3$toCleveland.Likewise,weseeinthefigurethatthe300unitsrequiredbyArizonaPlumbing’sAlbuquerquewarehousemightbeshippedinvariouscombinationsfromitsDesMoines,Evansville,andFortLauderdalefactories.OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB11ToFromAlbuquerqueBostonClevelandDesMoinesEvansvilleFortLauderdale$5$8$9$4$4$7$3$3$5demand300200200Questionsa)Prepareasimpletableforshippingroutesfromoriginstodestinations.b)Findtheminimaltotalshippingcost.（a）OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB12(b)OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB13最小费用为$3900Problem#4-InvenrotyManagement(Module8Inventoryused)GreenTeaAAAInc.hasanearconstantdemandsonpropaneof3000literspermonthwithunitpriceof$1.00;thefirm’scostofcapitalis10%andotherannualholdingcostis5%;theorderingcostis$10flateachtime.Thefirmisoperating360daysyearandittakes4workingdaysforpropanedelivery.QuestionsOperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB14a)Howmuchtoordereachtime?b)Whentoorder(whileinventoryisfallentowhatlevel…)?（a）OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB15Orderpointis400,numberoforderis2190.89,priceoforderis$2190.89.存货达到400开始订货，一年花费$328.32Problem#5-InvenrotyManagementwithQuantityDiscount(Module8Inventoryused)JohnsonClothingInc.hastherelatedinventorydatashownbelow:Itsannualdemandis2000unitswiththeannualinventoryholdingcostof20%andtheorderingcostof$20perorder.Thefirmisoperating250daysperyearandittakes5workingdaysforpropanedelivery.OrdersizeDiscountUnitcost0-990%$10.00100-2991%$9.90300-9992%$9.801000andover3%$9.70Questionsa)Whatisthebest-orderedunit?b)Whentoorder(whileinventoryisfallentowhatlevel…)?OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB16OperationsManagementMaFengcai,SchoolofEconomicsandManagement,USTB17a)thebest-orderedunitis300.00b)存货低于recordpoint（40.00）时候开始订货。