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Instructor9
sManual
toaccompany
Public
Finance
SeventhEdition
SuggestedAnswersto
DiscussionQuestions
andSampleExams
byHarveyS.Rosen
March2004
©McGraw-Hill/Irwin2004
SuggestedAnswerstoDiscussionQuestions
Someofthequestionshavenosingle“correct“answer
-reasonablepeoplecangooffindifferentdirections.
Insuchcases,theanswersprovidedheresketchonly
afewpossibi1ities.
Chapter1
1.a.Putin'sstatementisconsistentwithan
organicconceptionofgovernment.
Individualsandtheirgoalsarelessimportant
thanthestate.
b.Rehnquistmakesaclearstatementofthe
mechanisticviewofthestate.
2.a.Apersonwithanorganicconceptionofthe
statemightreactfavorably,arguingthat
evenifanindividualownerisworseoff
becausehemustshowonlyFrenchmovies,the
nationisbetteroffbecauseitachievesmore
unity.
b.Alibertarianwouldcertainlyrejectthis
policyandthereasoningbehindit-thereis
no“nationalinterest“independentofthe
interestsofindividuals,andpeopleshould
havetherighttoruntheirlivesintheway
thattheyprefer-includingseeingwhatever
moviestheywant.
c.ASocialDemocratwouldtrytobalancethesetwo
aims,anditishardtopredicthowheorshe
wouldcomeout.
3.Mechanisticviewofgovernmentsaysthatthe
governmentisacontrivancecreatedbyindividuals
tobetterachievetheirindividualgoals.Within
themechanistictradition,peoplecoulddisagree
ontheobesitytax.Libertarianswouldsaythat
peoplecandecidewhatisbestforthemselves.
Theydonotneedproddingfromthegovernment.In
contrast,socialdemocratsmightbelievethat
peoplearetooshortsightedtoknowwhatisgood
forthem,sothatgovernment-providedinducements
areappropriate.
4.a.Ifthesizeofgovernmentismeasuredbydirect
expenditures,themandatedoesnotdirectly
increaseit.Costsofcompliance,however,
maybehighandwouldappearasanincreasein
a"regulatorybudget.
b.Ifshardtosaywhetherthisrepresentsan
increaseordecreaseinthesizeofgovernment.
OnepossibilityisthatGDPstayedthesame,
andgovernmentpurchasesofgoodsandservices
fell.Anotheristhatgovernmentpurchases
ofgoodsandservicesgrew,butataslower
ratethantheGDP.Onemustalsoconsider
coincidentfederalcreditandregulatory
activitiesandstateandlocalbudgets.
c.Thefederalbudgetwoulddecreaseif
grants-in-aidwerereduced.However,if
stateandlocalgovernmentsoffsetthisby
increasingtaxes,thesizeofthegovernment
sectorasawholewouldnotgodownasmuchas
onewouldhaveguessed.
5.Theinflationerodestherealvalueofthedebtby
0.032x£332bi11ionor£10.6billion.Thisfigure
shouldbeincludedasrevenuetothegovernment.
6.Thefederalgovernmentgrewby$450bi1lion.
However,becausethepricelevelwentupby16
percent,intermsof2001dollarsthisamountedto
adecreaseof$224billion(=$1.86tri1lion-
1.16x$l.41trillion).AsaproportionofGDP,
federalspendingin1993was21.2percentandin
2001itwas18.2percent.Hence,bybothmeasures,
thesizeofgovernmentfell.Togetamore
completeanswer,onewouldwantdataonthe
population(tocomputerealspendingpercapita).
Also,itwouldbeusefultoaddinexpendituresby
stateandlocalgovernments,toseeifthetotal
sizeofgovernmentfell.Also,althoughitwould
behardertomeasure,onewouldwanttotrytogain
somesenseofhowtheregulatoryburdenonthe
economygrewduringthistimeperiod.
Chapter2
1.Therealitythatastronomersaretryingto
understandisnotinfluencedbyany“policies”that
astronomersmightimplement.Moreover,the
parameterswithwhichastronomersmustdealare
constantovertime,whiletheparametersin
economicscanchangeacrosstimeandspace.
2.Achangeinthemarginaltaxratechangesthe
individuaPsnetwage.Thisgeneratesbothan
incomeeffectandasubstitutioneffect.Aslong
asleisureisanormalgood,theseeffectsworkin
oppositedirections.Hence,onecannottella
prioriwhetherlaborsupplyincreasesordecreases.
Onecouldasktaxpayerstodescribehowtheywould
changetheirbehaviorundertheproposal,butit
ishardtoimaginethatthiswouldyielduseful
results.Inasocialexperiment,acontrolgroup
wouldconfrontthestatusquo,andanexperimental
groupwouldfacethenewtaxregime.Thisis
clearlyinfeasible.Econometricinvestigation
oflaborsupplyseemsthebestapproach,
particularlyifdataassociatedwithpastchanges
intaxratescanbebroughttobearontheproblem.
3.Generally,economicoutcomesareaffectedbya
numberofvariables.Economistscannotperform
controlledrandomizeexperiments,whichmakesit
difficulttoassesshowanysinglevariable
affectsagivenoutcome.Similarly,brain
impairmentmaybeduetoanumberoffactors.
Ecstasyusersclearlyarenotarandomsampleof
thepopulation.Hence,onedoesnotknowwhether
brainimpairmentisduetoEcstasyorsomevariable
thatiscorrelatedwithEcstasyuse.
4.Thetextpointsoutthepitfallsofsocial
experiments:theproblemofobtainingarandom
sampleandtheproblemsofextendingresults
beyondthescopeoftheexperiment.Participants
inthestudyhadfoundittotheiradvantagetobe
apartoftheexperiment,whichmayhaveresulted
inaself-selectedpopulationunrepresentativeof
thewidergroupofhealthcareconsumers.Further,
physicians5"standardpractices^^arelargely
determinedbythecircumstancesofthepopulation
asawhole,nottherelativelysmallexperimental
group.
5.Thereappearstobeaweakrelationshipbetween
deficitsandinterestrates.Indeed,itmight
appearthatwhenlargedeficitsleadtolower
interestrates.However,onewouldneedmoredata
toinvestigatethisquestion.Onewouldwantto
lookatdeficitsrelativetoGDP.Onewouldlike
tocontrolforotherfactorsthatcanaffect
interestrates,suchasmonetarypolicyandthe
levelofeconomicactivity.
Chapter3
1.a.Inthisparticularinsurancemarket,onewould
notexpectasymmetrieinformationtobemuch
ofaproblem-theprobabi1ityofafloodis
commonknowledge.Moralhazardcouldbean
issue-peoplearemorelikelytobuildnear
abeachiftheyhavefloodinsurance.Still,
onewouldexpectthemarketforflood
insurancetooperatefairlyefficiently.
b.Thereissubstantialasymmetricinformationin
themarketsformedicalinsuranceand
malpracticeinsurance.Forefficient
consumption,thepricemustbeequaltothe
marginalcost,andtheeffectofinsurancemay
betoreducetheperceivedpriceofmedical
careconsumption.Thatwouldleadto
consumptionabovetheefficientlevel.
Becauseoftherolesofregulation,insurance,
andtheshiftingofcostsfromtheuninsured
totheinsured,thereislittlereasonto
expectthemarkettobeefficient.
c.Inthestockmarketthereisgoodinformation,
andthousandsofbuyersandsellers.We
expect,ingeneral,efficientoutcomes.
d.Fromanationalstandpoint,thereisagooddeal
ofcompetitionandinformation.Theoutcome
wi11likelybeefficient.However,some
firmsmightexercisesomemarketpower.
e.Studentloanmarketsmaybeimperfectbecause
ofasymmetricinformation-studentknows
betterthanlenderwhetherhewi11workhard
enoughtorepaytheloan.
f.Carinsurancemarketsmaybeimperfectbecause
ofasymmetricinformation.Driverswhoknow
theyareparticularlyaccidentpronewi11be
particularly1ikelytowantcarinsurance(or
policieswithgreatercoverage).
2.Pointarepresentsanequalallocationofwater,
butitisnotefficientbecausethereisno
tangency.Pointbisanefficientallocation(but
nottheonlyone).
AD:1)Thedashedlineispositionedatthehalfway
pointonthehorizontalaxis.
2)Pointbisatangency
3.Themarginalrateoftransformationbetweenforeignanddomesticmoves
dependsontherationoftheirpricesbeforetaxesandsubsidies.
Becauseofthewedgecreatedbythetaxesandsubsidies,thetwoprice
ratiosaredifferent.Therefore,themarginalrateofsubstitutionand
marginalrateoftransformationarenotequal,andtheallocationof
resourcesisinefficient.4.a.Socialindifferencecurvesarestraight
1ineswithslopeof-1.Asfarassocietyisconcerned,the“util”to
Augustusisequivalenttothe"util"toLivia.
b.Socialindifferencecurvesarestraightlines
withslopeof-2.Thisreflectsthefact
thatsocietyvaluesa"util”toAugustustwice
asmuchasa"util"toLivia.
A
UL
UA
5.Itishardtoseeanyredistributiveorefficiency
gaintoaprogramoffreeconcerts.Ifyoubelieve
thatyoucan“improve“people'stastesbyexposing
themtoclassicalmusic,thentheremaybeamerit
goodjustification.
6.a.11ishardtoseeamarketfailurehere.The
CoastGuardcansetarescuefeeequaltothe
marginalcostofarescue.
b.Welfareeconomicsprovideslittlebasisfor
suchasubsidy.
c.Asymmetricinformationisprobablynota
probleminamarketlikethis,soitishard
toseewhytheprivateinsurancemarketisnot
allowedtofunction.
d.11ishardtoimagineabasisinwelfare
economicsforthisregulation.
e.Thisisnotanefficientpolicy.Ifthe
problemisthattoomuchwaterisbeing
consumed,thentheansweristoincreasethe
priceofwater.Onthatbasis,peoplecan
decidewhetherornottheywanttoiletsthat
requirelesswater.
f.[needanswer]
7.Thesetofpossibleallocationsisastraightline
100unitslong.EveryallocationisPareto
efficient,becausetheonlywaytomakeoneperson
betteroffistomakeanotherpersonworseoff.
8.Itwouldseemthatmarketsareagoodsocialorder
bythiscriterion.Everyoneactsselfishly(i.e.,
maximizeshisownutility)buttheresultisa
Paretoefficientallocationofresources.This
assumes,ofcourse,thatalltheconditionsforthe
FirstFundamentalTheoremaremet.
9.BecausetheMRSdoesnotequaltheMRT,the
allocationisnotParetoefficient.TomoveMRS
inthedirectionofequalingMRT,thereshouldbe
morecrumpetsandlesstea.
10.a.False.
b.True.
c.True.
d.False.
Chapter4
1.a.Wildernessareaisanimpurepublicgood-at
somepoint,consumptionbecomesnonrival.
b.Waterisrivalinconsumptionandexcludable.
Hence,itisnotapublicgood.
c.Medicalschooleducationisaprivategood.
d.Televisionsignalsarenonrivalin
competition.
e.AnInternetsiteisnonriva1inconsumption
(althoughitisexcludable).
2.WeassumethatCheetah'sutilitydoesnotenterthe
socialwelfarefunction;henceherallocationof
laborsupplyacrossactivitiesdoesnotmatter.
a.Thepublicgoodispatrol;theprivategoodis
fruit.
b.RecallthatefficiencyrequiresMRSTARZAN+MRSJANE
=MRT.MRSTARZA=MRSJANE=2.ButMRT=3.Therefore
MRS"*"+MRS"">MRT.Toachieveanefficient
allocation,Cheetahshouldpatrolmore.
3.Apurepublicgoodisnonrivalinconsumption,thus
itisnecessarytodeterminewhetherornotthis
isthecasewiththehighway.Thatis,ifthe
additionalcostofanotherperson“consuming”the
highwayiszero,thenitisapublicgood.So,as
longasthehighwayisnotcongested,thenitcan
beconsideredtobeapublicgood.However,
addinganothermotoristtoanalreadycongested
roadwaycancausetrafficjamsthatcostmotorists
moretimetotravelthehighway,whichwould
representnon-zerocoststohavinganadditional
personusethehighway.Therefore,the
congestionoftheroadwaydetermineswhetheror
notwecoulddesignateitasapublicgood.
Todeterminewhetherornottheprivatizationof
thehighwayisasensibleidea,itisnecessaryto
considertheadvantagesanddisadvantagesofsuch
anaction.First,ifthemarketstructureissuch
thatprivatizingthehighwaywouldresultina
monopolistincontrolofthehighway,thenthis
wouldbeinefficient.Also,itwouldbedifficult
forthegovernmenttowriteacompletecontractfor
maintainingthehighway,whichwouldalsocause
inefficienciesthatwouldresultfromthe
privatizationoftheroad.However,ifthe
governmentownsthehighway,itmightnothavethe
appropriateincentivestomaintainitproperly.
Insuchacase,evenownershipbyaprivate
monopolistmightbeasensiblesolution.
4.Thebenefitsofmaintainingtheincomesofthepoor
accruetosocietyasawhole,sowelfareisapublic
good.Itishardtosaywhetherornotitshould
bepubliclyorprivatelyadministered.Private
administrationmightbelesscostly.Ontheother
hand,privateadministratorsmighthavean
incentivetodeprivedeservingindividualsof
benefitsinordertocutcosts.Itwouldbe
difficulttowriteacontracttopreventthiskind
ofbehavior,becauseonecannotspecifyinadvance
everyconceivablesetofcircumstancesunderwhich
welfareshouldbegranted.
5.Alowcostisnotenough.Weareconcernedwhether
theprisonersaretreateddecently,whether
securityisgood,andsoon.
6.Theexperimentalresultssuggestthatthereis
somefreeriding,butsomepeopledocontribute.
ThafswhathappenedinManchester.Also,the
experimentsuggestedthatwhenthegamewas
repeated,peopleweremorelikelytofreeride.
Thisalsohappened——thesecondyear,
participationwasless.
7.Thereisnocompel1ingreasonformuseumstoberun
bythegovernment.IntheUnitedStates,many
greatmuseumsarerunbyprivately(notforprofit),
andtheyseemtodoquitewell.
8.InFigure4.5,drawalinestartingatpointxthat
runstothesoutheastandisparalleltoAB.As
longaseducationisanormalgood,morewi11be
consumed.However,iftheschoolingisfinanced
bya(lump-sum)tax,thenthebudgetconstraint
shiftsinbyanamountthatdependsonthe
household'sshareofthetaxburden.
9.Sumofthemarginalbenefitsequalsmarginalcostat
67degrees.
10.
Chapter5
1.Classicaleconomicsexplicitlyrequiresthatall
costsandbenefitsbetakenintoaccountwhen
assessingthedesirabi1ityofagivensetof
resources,soGore'sstatementisfalse.The
notionthatrescuingtheenvironmentshouldbe”the
centralorganizingprincipleforcivi1ization^^
providesnopracticalbasisfordecidingwhatto
doaboutautomobileemissions(oranyother
environmentalproblem),becauseitprovidesno
frameworkforevaluatingthetradeoffsthat
inevitablymustbemade.
2.
permonth
a.P.
b.SeescheduleMSBP.
c.P*.Grantaunitsubsidyof$bperparty.
d.Totalsubsidy=abed."Society“comesout
aheadbyghc,assumingthesubsidycanbe
raisedwithoutanyefficiencycosts.
(Cassanova'sfriendsgaingchd;Closeschd
butgainsabed,whichisasubsidycostto
government.)
3.a.Ifyouknowwhowascooking,theexternality
iseasytoidentify,anddependingonhowmany
studentsareinvolved,thecostsof
negotiationshouldbefairlysmall.
b.Itseemsfeasibletoestablishpropertyrights
totheriverandmakepeoplepayforthefish.
c.Therearetoomanyfarmersandtoomany
city-dwellersforaprivatenegotiation.
d.Toomanypeopleareinvolvedforprivate
negotiation.
4.a.Thepriceofgasolinedoesnottakeinto
accounttheincreasedriskstoeveryonefrom
moredependenceonforeignoil.
b.Estimatethemarginaldamageassociatedwith
therisk.
c.Thesupplyofvouchersisverticalat140
million.Thedemandcurveisdownward
sloping.Foreverygallonofgasoline,you
eitherhavetobuyavoucheroruseuponeof
ourown.Ineithercase,thisincreasesthe
opportunitycostby75cents.
5.Thetaxesaretoolow.
6.Byestablishingamarketforairpollutionrights,
theBoardofTradehasappliedtheCoaseTheorem.
Thepotentialefficiencyoftheoutcomemaybe
laudable,butthedistributionalimpactmaybe
unpalatabletosome.
7.a.4.
b.2.
c.Profitsgoupby17.
d.[needanswer]
8.PrivateMarginalBenefit=10-X
PrivateMarginalCost=$5
ExternalCost=$2
Withoutgovernmentintervention,PMB=PMC;X=
5units
SocialefficiencyimpliesPMB=SocialMarginal
Costs=$5+$2=$7;X=3units.
Gaintosocietyistheareaofthetrianglewhose
baseisthedistancebetweentheefficientand
actualoutputlevels,andwhoseheightisthe
differencebetweenprivateandsocialmarginal
cost.Hence,theefficiencygainis%(5-3)(7
-5)=2.
APigouviantaxaddstotheprivatemarginalcost
theamountoftheexternalcostatthesocially
optimallevelofproduction.Hereasimpletaxof
$2perunitwi11leadtoefficientproduction.
Thistaxwouldraise($2)(3units)=$6inrevenue.
9.Intheabsenceofpersuasiveevidenceonpositive
externalitiesforhighereducation,thereisno
reasonforthegovernmenttoprovidefreetuition.
True,taxesonwagesmaydistorteducation
decisions(seeChapter16),butvirtuallyall
taxesdistortsomedecisionmaking,anditis
unlikelythatitisoptimaltosubsidizetuition
at100percent.
10.a.P=5.
b.Yes,itwouldbuyapermission.Thegainin
efficiencywouldbe3.
Chapter6
1.a.Below,thepreferencesfor1and2aredrawn.
Sameprocedureisusedfor3,4and5.
Ptnon1
Ptrton2
ABCD
b.Cwinsineverypairwisevote.Thus,thereis
astablemajorityoutcome,despitethefactthat
persons1,2,and3havedouble-peaked
preferences.Thisdemonstratesthatalthough
multi-peakedpreferencesmayleadtovoting
inconsistencies,thisisnotnecessarilythe
case.
2.Thisepisodeisconsistentwiththelogrolling
model.Thesenatorsfromtheaffectedstatesmake
adealtoadvantagetheirconstituentsatthe
expenseofotherregions.
3.a.Threepercentayear.
b.Assumingthatthepublicsectorusesonlylabor
asaninput,thepriceofthepublicgood
increasesby3percentayear.
c.Thesizeofgovernmentincreases.Forfurther
discussionofthisphenomenonseethepaperby
W.J.Baumol,''MacroeconomicsofUnbalanced
Growth:TheAnatomyofUrbanCrises,
AmericanEconomicReview,1967.
4.Yes,itisconsistent,becausethetheorysaysthat
whenunanimityisrequired,nodecisionsare
1ikelytobemade.Amajoritysystemmightbemore
suitable,althoughitissubjecttocyclingand
otherproblems.
5.Ifthesefiguresaretrue,thenthepredictionsof
themedianvotertheoryarenotaccurate-thatis,
majorityvotingwi11notreflectthepreferences
ofthemedianvoter.Thereasonforthisis
becauseofthedifferentturnoutratesfor
individualsindifferentincomecategories.
Considerthissimpleexample:supposethatvoters
havesingle-peakedpreferences,andtheyare
tryingtodeterminehowmuchshouldbespenton
nationaldefense.Theirpreferencesarelisted
asfollows:
Andrew:$500Bob:$700Charlie:$850
Allison:$600Bill:$750Cathy:$900
Anne:$650Beth:$800Cheryl:$1,000
Themedianvotertheorempredictsthatamajority
votewi11resultin5750beingspentondefense
(whichisreflectiveofBi1Pspreferences,since
heisthemedianvoter).However,ifthereare
differentparticipationratesbydifferentgroups
(inthiscase,thegroupsaredeterminedbythe
firstletterintheperson'sname),thenthe
preferencesofthemedianvoter(Bill)areno
longerreflectedinthemajorityvote.Suppose
thatAndrewandAnnedon,tvote-thenamajority
votewi11resultin$800ofdefensespending.
6.Whenthereisavoteoverthreeoptions,thereis
thechancethatapotentialmajorityvoteissplit
betweentworelativelypreferredoptions,andthe
thirdoptionwins.Thewinningoptionmayhave
beenvoteddownifithadbeenatwo-wayvotewith
eitheroftheotheroptions.Further,if
preferencesarenotsingle-peaked,cyclingand
inconsistentpublicdecisionsmayemerge.
7.Wewouldexpectaccountingtrickstomaskthesize
ofthedeficits,andifthatdidn'twork,wewould
expectthedeficitrulestobeignored.Thisis
apparentlywhatishappening.WhenGermany
exceededthedeficittarget,nomovesweretaken
tolevytherequiredfines.
8.Sincerents,bydefinition,arethereturnsabove
anormalreturn,thenwhenthe1icensesareputon
themarket,theirpricewi11bethevalueofthe
rents.Hence,theowner,whoeverheorsheisonly
makinganormalreturn.Putanotherway,the
licenseisanassetthatearnsanormalrateof
return.Ifthelicensesystemwereeliminated,
efficiencywouldbeenhanced.Butitwould,in
effect,confiscatethevalueofthisasset.Itis
noteclearthatthisisfair.Onecouldalsoargue
thatwhensomeonebuysthisasset,itiswiththe
understandingthatthereissomeprobabi1itythat
itsvaluewi11bereducedbyeliminationofthe
program;hence,itisnotunfairtodoso.
9.a.P=2,Q=80.
b.P=6,Q=40.
c.Rents=(6-2)x40=160.
d.Maximumcontributionisthesizeoftherents,
160.Deadweightlossis.5x40x4=80.
e.Deadweightlosscouldgoashighasthesumof
theconventionaldeadweightlossandtherents:
160+80=240.
10.InFigure6.4,theVcurveshiftsup.This
increasestheactualnumberofinspectorshired.
11is1ikelythattheshiftingalsoincreasesthe
slopeofVateverylevelofbureaucraticoutput,
whichwi11leadtotheefficientoutputincreasing
aswell.
11.Medianvoterrule.
Chapter7
1.Uti1itarianismsuggeststhatsocialwelfareisa
functionofindividuals'utilities.Whetheror
notthericharevulgarisirrelevant,sothispart
ofthestatementisinconsistentwith
uti1itarianism.Ontheotherhand,Stein's
assertionthatinequalityperseisunimportantis
inconsistentwithuti1itarianism.
2.a.TomaximizeW,setmarginaluti1itiesequal;
theconstraintisIs+Ic=100.
So,
400-2IS=400-6IC.
substitutingIt=100-Isgivesus2IS=6(100-
Is).
Therefore,Is=75,Ic=25.
b.IfonlyCharitymatters,thengivemoneyto
CharitytillMUC=0(unlessallthemoneyin
theeconomyisexhaustedfirst).
So,
400-6Ic=0;hence,Ic=66.67
GivinganymoremoneytoCharitycausesher
marginalutilitytobecomenegative,whichis
notoptimal.Notethatwedon'tcareifthe
remainingmoney($33.33)isgiventoSimonor
not.
IfonlySimonmatters,then,proceedingas
above,MUS.0ifIs=100;hence,givingallthe
moneytoSimonisoptimal.(Infact,wewould
liketogivehimupto$200.)
c.MUS=MUeforal1levelsofincome.Hence,
societyisindifferentamongall
distributionsofincome.
3.Themainconceptualproblemwiththepovertygap
isthatitdoesn'taccountfortheincomeeffect
onlaborforceparticipationrates.Thepoverty
gapiscalculatedassumingthatlaborincomewould
remainunchangedevenaftertheincomewas
transferredtothepoorpopulation,buteconomic
theorypredictsthatthiswi11notbeso.Infact,
ifthepoorhouseholdweregivenenoughincometo
bringitoutofpoverty,wewouldbelievethatthe
householdwouldworklessasaresultofreceiving
thistransfer.Thiscomplicatestheanalysis,of
course,becauseoncethehouseholdworksless,
thenitwi11generatelesslaborincome,thus
loweringitsoverallincome.Thismeansthatthe
povertygapactuallyunderstatestheamountof
moneynecessarytoalleviatethepovertyinthe
UnitedStates.
4.Adaycarecenterisanexampleofanin-kind
compensation.Thefigurebelowissimilarto
figure8.2inthetext.Theoriginalbudget1ine
isGiHiIftheemployeereceived$5,000cash,the
budget1inemovestoG2H2.Anemployeewhouses
thedaycarecentermaynotbe$5,000betteroff.
TheemployeeconsumesatpointA,butwouldbe
betteroffatpointB,whichrepresents
consumptionafteracashtransferof$5,000.
Hoursofdaycare
5.a.Thiswouldincreasetheincomesofthe
providersofcomputerequipment,andth
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