Problem Set_3-April_30.pdfVIP免费

IntermediateMicroeconomicsProblemSet3(DueDate:April30)1.Whyisthereasocialcosttomonopolypower?Ifthegaintoproducersfrommonopolypowercouldberedistributedtoconsumers,wouldthesocialcostofmonopolypowerbeeliminated?Explainbriefly.2．Amonopolisticfirmfacesthefollowingaveragerevenue(demand)curve:P=100–0.01QwhereQisweeklyproductionandPisprice,measuredincentsperunit.Thefirm’scostfunctionisgivenbyC=50Q+30000.A)Whatisthelevelofproduction,price,andtotalprofitperweek?B)Thegovernmentdecidestolevyataxof10centsperunitonthisproduct.Whatwillthenewlevelofproduction,price,andprofitbeasaresult?C)Assumethatthemonopolyhastheabilitytoimplementfirst-degreepricediscrimination.Whatwillthenewlevelofproduction,priceandprofitbeasaresult?D)Calculatetheconsumersurplusandproducersurplusin(A)(B)and(C).Isthetotalsocialwelfareincreaseordecreasewiththeimplementationoftax?(note:taxrevenueispartofsocialwelfare).Isthetotalsocialwelfareincreaseordecreasewithfirst-degreepricediscrimination?3．Amonopolisticfirmhastwofactories,forwhichcostsaregivenby:Factory#1:C1(Q1)=10Q12Factory#2:C2(Q2)=20Q22Thefirmfacesthefollowingdemandcurve:P=700–5Q,whereQistotaloutput(Q=Q1+Q2).A)CalculatethevaluesofQ1,Q2,Q,andPthatmaximizeprofits.Alsodrawadiagramtoillustratetheoptimalchoicesofthisfirm.B)SupposelaborcostsincreaseinFactory1butnotinFactory2.HowshouldthefirmadjustQ1,Q2,Q,andP?4.考虑一个垄断企业，它面临的需求曲线为Qp2200,边际成本为固定的80元。1）请画出该企业的需求曲线和边际收益曲线，并求出利润最大化的价格和产量。2）现假定政府颁布了限价令，规定最高价为100元。请画出限价令下企业的边际收益曲线。3）当限价为100元时企业最优的价格和产量为多少？如果政府规定最高价为160元，此时企业利润最大化的价格和产量为多少？4）帕累托最优的产量应该为多少？是否存在一个限价让垄断企业愿意生产社会最优的产量的限价？5．假定一个垄断企业的成本函数为xxTC)(，它面临两类消费者（各占50％的比例）A和B，A类消费者的效用函数为yxxyxUA25.05),(，B类消费者的效应函数为yxxyxUB25.06),(，其中x代表垄断厂商生产的商品，y代表消费者消费的其他商品组合。1）消费...