微观经济学作业答案3.doc
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ManagerialEconomics
HOMEWORKSET#3
Name:
Class:
Student#:
(Dueday:
Nextclass)
Part1:
1.Whentheaverageproductisdecreasing,marginalproduct
a. equalsaverageproduct.
b. isincreasing.
c. exceedsaverageproduct.
d. isdecreasing.
e. islessthanaverageproduct.
Choose:
e)
Thenexttwoquestionsrefertoafirminaconstant-costindustrywithATC(q)=2,000/q+100+5qandMC(q)=100+10q.
2.Thelong-runequilibriumpriceequals:
a.$100b.$200c.$300d.$500e.Noneoftheaboveiscorrect.
Choose:
c)FindminimumATCbysettingATC=MC;thisyieldsq=20.Plugq=20intoATCtofindthelong-runequilibriumpriceof$300.
3.Demandforindustryoutputhasjustincreased.Ifthemarketpriceinitiallyrisesto$600,eachfirminthelongrunwillproduce:
a.20unitsb.50units.c.88.7unitd.100units.
e.Moreinformationisneeded.
Choose:
a)Thelong-runequilibriumwillagainhaveeachfirmproducingatminimumATC.Eachfirmproduces20units,asinQuestion3.
4.Astraight-lineisoquant
a. isimpossible.
b. wouldindicatethatthefirmcouldswitchfromoneoutputtoanothercostlessly.
c. wouldindicatethatthefirmcouldnotswitchfromoneoutputtoanother.
d. wouldindicatethatcapitalandlaborcannotbesubstitutedforeachotherinproduction.
e. wouldindicatethatcapitalandlaborareperfectsubstitutesinproduction.
Choose:
e)
5.AfarmerusesMunitsofmachineryandLhoursoflabortoproduceCtonsofcorn,withthefollowingproductionfunctionC=L0.5+M0.75.Thisproductionfunctionexhibits
a. decreasingreturnstoscaleforalloutputlevels
b. constantreturnstoscaleforalloutputlevels
c. increasingreturnstoscaleforalloutputlevels
d. noclearpatternofreturnstoscale
Choose:
b)2L0.5+2M0.75=2C
6.Thedifferencebetweentheeconomicandaccountingcostsofafirmare
a. theaccountant'sfees
b. thecorporatetaxesonprofits
c. theopportunitycostsofthefactorsofproductionthatthefirmowns
d. thesunkcostsincurredbythefirm
e. theexplicitcostsofthefirm
Choose:
c)
7.Priceceilingareinefficientbecause:
a.bothproducersandconsumerslose.
b.Producerslose,consumersmaygainorlose,butalossoccursonnet.
c.Producerslose,consumergain,butalossoccursonnet.
d.Producersandconsumermaygainorlose,butalossoccursonnet.
e.Noneoftheaboveiscorrect.
Choose:
b)Consumersgainfromalowerprice,butlosebecausetheyareabletobuyless.Producesclearlylosefromtheregulatedprice.Thereisalwaysawelfarelossfrompriceceilings(assumingthatthepriceceilingisbinding).
8.Assumethatafirmspends$500ontwoinputs,labor(graphedonthehorizontalaxis)andcapital(graphedontheverticalaxis).Ifthewagerateis$20perhourandtherentalcostofcapitalis$25perhour,theslopeoftheisocostcurvewillbe
a. 500.
b. 25/500.
c. 4/5.
d. 25/20or1/4.
Choose:
c)20L+25C=500,C=-4/5L+20
9.Supposethatthepriceoflabor()is$10andthepriceofcapital()is$20.Whatistheequationoftheisocostlinecorrespondingtoatotalcostof$100?
a. PL+20PK
b. 100=10L+20K
c. 100=30(L+K)
d.
e. noneoftheabove
Choose:
b)
ThenextthreequestionsrefertothealfalfamarketdescribedinFigure1.
S
D
16
20
25
TonsofAlfalfa
(millions)
30
50
75
Price($/ton)
F
Figure1
10.Ifthegovernmentpurchasesenoughalfalfatoraisethepricefrom$50/tonto$75/ton,thecostoftheprogramwillbe:
a.$100million.b.$225million.
c.$315million.d.$675million.
e.Noneoftheaboveiscorrect.
Choose:
d)Thegovernmentpays$75/tonforthesurplusof25–16=9milliontons:
75(9)=$675.
11.Ifthegovernmentraisesthepriceto$75/ton,producersurpluswillincreaseby:
a.$400million.b.$500million.
c.$562.5million.d.$1,875million.
e.Noneoftheaboveiscorrect.
Choose:
c)ProducersurplusincreasebytheareaofthetrapezoidbetweenP=$50andP=$75,andQ=20andQ=25million:
$25(20+25)/2=$562.5million.
12.Supposethegovernmentdecidestosupportapriceof$75/tonbypayingproducersnottoproducetheexcesssupplyofalfalfa(whichis25–16=9milliontons).Theminimumcostofthisprogramwillbe:
a.$157.5million.b.$202.5million.
c.$315million.d.$1,875million.
e.Noneoftheaboveiscorrect.
Choose:
b)Toidleacreage,producersmustbepaidatleasttheshadedareainFigure1:
0.5(25–16)(75-30)=$202.5million.
S
Price($/unit)
75
50
16
25
D
30
Ton(millions)
20
13.Producersurplusinaperfec