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AnswerstoTextbookQuestionsandProblems
CHAPTER1TheScienceofMacroeconomics
QuestionsforReview
1.Microeconomicsisthestudyofhowindividualfirmsandhouseholdsmakedecisions,and
howtheyinteractwithoneanother.Microeconomicmodelsoffirmsandhouseholdsare
basedonprinciplesofoptimization-firmsandhouseholdsdothebesttheycangiven
theconstraintstheyface.Forexample,householdschoosewhichgoodstopurchasein
ordertomaximizetheirutility,whereasfirmsdecidehowmuchtoproduceinorderto
maximizeprofits.Incontrast,macroeconomicsisthestudyoftheeconomyasawhole;it
focusesonissuessuchashowtotaloutput,totalemployment,andtheoverallpricelevel
aredetermined.Theseeconomy-widevariablesarebasedontheinteractionofmany
householdsandmanyfirms;therefore,microeconomicsformsthebasisfor
macroeconomics.
2.Economistsbuildmodelsasameansofsummarizingtherelationshipsamongeconomic
variables.Modelsareusefulbecausetheyabstractfromthemanydetailsintheeconomy
andallowonetofocusonthemostimportanteconomicconnections.
3.Amarket-clearingmodelisoneinwhichpricesadjusttoequilibratesupplyanddemand.
Market-clearingmodelsareusefulinsituationswherepricesareflexible.Yetinmany
situations,flexiblepricesmaynotbearealisticassumption.Forexample,laborcontracts
oftensetwagesforuptothreeyears.Or,firmssuchasmagazinepublisherschangetheir
pricesonlyeverythreetofouryears.Mostmacroeconomistsbelievethatpriceflexibility
isareasonableassumptionforstudyinglong-runissues.Overthelongrun,prices
respondtochangesindemandorsupply,eventhoughintheshortruntheymaybeslow
toadjust.
ProblemsandApplications
1.MonetarypolicyintheUnitedStatesandtheEuropeanUnionhasbeenabigtopicof
conversationinearly2015.TheEUembarkeduponaquantitativeeasingpolicyinMarch
2015inanattempttostimulategrowthandpreventdeflation.Therehasbeensome
concernthattheinflationrateinEuropewillturnnegative.IntheUnitedStates,thereis
continueddiscussionandspeculationconcerningwhentheFederalReservemightchoose
toincreasethetargetfederalfundsrate.AlsointheUnitedStates,theunemployment
ratehasdeclinedtoabout5.5percentandthissuggeststhatwagesmaybegintoincrease.
TheFederalReservewillbewatchingforwageandpriceincreasesastheydecidewhen
toincreaseinterestrates.
2.Manyphilosophersofsciencebelievethatthedefiningcharacteristicofascienceisthe
useofthescientificmethodofinquirytoestablishstablerelationships.Scientistsexamine
data,oftenprovidedbycontrolledexperiments,tosupportordisproveahypothesis.
Economistsaremorelimitedintheiruseofexperiments.Theycannotconductcontrolled
experimentsontheeconomy;theymustrelyonthenaturalcourseofdevelopmentsin
theeconomytocollectdata.Totheextentthateconomistsusethescientificmethodof
inquiry,thatis,developinghypothesesandtestingthem,economicshasthe
characteristicsofascience.
3.Wecanuseasimplevariantofthesupply-and-demandmodelforpizzatoanswerthis
question.Assumethatthequantityoficecreamdemandeddependsnotonlyontheprice
oficecreamandincome,butalsoonthepriceoffrozenyogurt:
0=久P\c,P”,Y).
Weexpectthatdemandforicecreamriseswhenthepriceoffrozenyogurtrises,because
icecreamandfrozenyogurtaresubstitutes.Thatis,whenthepriceoffrozenyogurtgoes
up,Iconsumelessofitand,instead,fulfillmoreofmyfrozendesserturgesthroughthe
consumptionoficecream.
Thenextpartofthemodelisthesupplyfunctionforicecream,0=5(Re).Finally,in
equilibrium,supplymustequaldemand,sothat0二。.Yand用aretheexogenous
variables,andQandAcaretheendogenousvariables.Figure1-1usesthismodeltoshow
thatafallinthepriceoffrozenyogurtresultsinaninwardshiftofthedemandcurvefor
icecream.Thenewequilibriumhasalowerpriceandquantityoficecream.
Figure1-1
Pic
\S
Q
Quantityoficecream
4.Thepriceofhaircutschangesratherinfrequently.Fromcasualobservation,hairstylists
tendtochargethesamepriceoveraone-ortwo-yearperiodirrespectiveofthedemand
forhaircutsorthesupplyofcutters.Amarket-clearingmodelforanalyzingthemarket
forhaircutshastheunrealisticassumptionofflexibleprices.Suchanassumptionis
unrealisticintheshortrunwhenweobservethatpricesareinflexible.Overthelongrun,
however,thepriceofhaircutsdoestendtoadjust;amarket-clearingmodelistherefore
appropriate.
AnswerstoTextbookQuestionsandProblems
CHAPTER2TheDataofMacroeconomics
QuestionsforReview
1.GDPmeasuresthetotalincomeearnedfromtheproductionofthenewfinalgoodsand
servicesinthe
economy,anditmeasuresthetotalexpendituresonthenewfinalgoodsandservices
producedintheeconomy.GDPcanmeasuretwothingsatoncebecausethetotal
expendituresonthenewfinalgoodsandservicesbythebuyersmustbeequaltothe
incomeearnedbythesellersofthenewfinalgoodsandservices.Asthecircularflow
diagraminthetextillustrates,thesearealternative,equivalentwaysofmeasuringtheflow
ofdollarsintheeconomy.
2.ThefourcomponentsofGDPareconsumption,investment,governmentpurchases,and
netexports.
TheconsumptioncategoryofGDPconsistsofhouseholdexpendituresonnewfinalgoods
andservices,suchasthepurchaseofanewtelevision.TheinvestmentcategoryofGDP
consistsofbusinessfixedinvestment,residentialfixedinvestment,andinventory
investment.Whenabusinessbuysnewequipmentthiscountsasinvestment.Government
purchasesconsistsofpurchasesofnewfinalgoodsandservicesbyfederal,state,and
localgovernments,suchaspaymentsfornewmilitaryequipment.Netexportsmeasures
thevalueofgoodsandservicessoldtoothercountriesminusthevalueofgoodsand
servicesforeignerssellus.WhentheU.S.sellscorntoforeigncountries,itcountsinthe
netexportcategoryofGDP.
3.Theconsumerpriceindex(CPI)measurestheoveralllevelofpricesintheeconomy.It
tellsusthepriceofafixedbasketofgoodsrelativetothepriceofthesamebasketinthe
baseyear.TheGDPdeflatoristheratioofnominalGDPtorealGDPinagivenyear.The
GDPdeflatormeasuresthepricesofallgoodsandservicesproduced,whereastheCPI
onlymeasurespricesofgoodsandservicesboughtbyconsumers.TheGDPdeflator
includesonlydomesticallyproducedgoods,whereastheCPIincludesdomesticand
foreigngoodsboughtbyconsumers.Finally,theCPIisaLaspeyresindexthatassigns
fixedweightstothepricesofdifferentgoods,whereastheGDPdeflatorisaPaascheindex
thatassignschangingweightstothepricesofdifferentgoods.Inpractice,thetwoprice
indicestendtomovetogetheranddonotoftendiverge.
4.TheCPImeasuresthepriceofafixedbasketofgoodsrelativetothepriceofthesame
basketinthebaseyear.ThePCEdeflatoristheratioofnominalconsumerspendingto
realconsumerspending.TheCPIandthePCEdeflatoraresimilarinthattheybothonly
includethepricesofgoodspurchasedbyconsumers,andtheybothincludethepriceof
importedgoodsaswellasdomesticallyproducedgoods.Thetwomeasuresdiffer
becausetheCPImeasuresthechangeinthepriceofafixedbasketwhereasthegoods
measuredbythePCEdeflatorchangefromyeartoyeardependingonwhatconsumers
arepurchasinginthatparticularyear.
5.TheBureauofLaborStatistics(BLS)classifieseachpersonintooneofthefollowingthree
categories:employed,unemployed,ornotinthelaborforce.Theunemploymentrate,
whichisthepercentageofthelaborforcethatisunemployed,iscomputedasfollows:
,-NumberofUnemployed
UnemploymentRate=—xlOO.
LaborForce
Notethatthelaborforceisthenumberofpeopleemployedplusthenumberofpeople
unemployed.
6.Everymonth,theBureauofLaborStatisticsundertakestwosurveystomeasure
employment.First,theBLSsurveysabout60,000householdsandtherebyobtainsan
estimateoftheshareofpeoplewhosaytheyareworking.TheBLSmultipliesthisshare
byanestimateofthepopulationtoestimatethenumberofpeopleworking.Second,the
BLSsurveysabout160,000businessestablishmentsandaskshowmanypeoplethey
employ.Eachsurveyisimperfect;sothetwomeasuresofemploymentarenotidentical.
ProblemsandApplications
1.FromthemainWebpageclickontheinteractivedatatabatthetop,selectGDP,
beginusingthedata,section1,andthentable1.1.1.RealGDPgrewatarateof2.2
percentinquarter4of2014.Whencomparedtogrowthratesof-2.1percent,4.6
percent,and5percentforthefirstthreequartersof2014,therateof2.2percentwas
slightlybelowaverage.Fromthemainb/Webpageselectthedatatoolstab,then
toppicks.Checktheboxfortheunemploymentrateandretrievethedata.The
unemploymentrateinMarch2015was5.5percent,whichwasaboutequaltothenatural
rateofunemployment,orthelongrunaveragerate.Fromthemainpage,select
theeconomicreleasestab,theninflationandprices.AccessthereportfortheCPI.In
February2015,theinflationrateforallitemswas0percent,andiffoodandenergywere
excludedtheratewas1.7percent.Theinflationratewasbelowaverageandbelowthe
FederalReserve'stargetof2percent.
2.Valueaddedbyeachpersonisequaltothevalueofthegoodproducedminusthe
amountthepersonpaidforthematerialsneededtomakethegood.Therefore,thevalue
addedbythefarmeris$1.00($1-0=$1).Thevalueaddedbythemilleris$2:shesells
theflourtothebakerfor$3butpaid$1fortheflour.Thevalueaddedbythebakeris$3:
shesellsthebreadtotheengineerfor$6butpaidthemiller$3fortheflour.GDPisthe
totalvalueadded,or$1+$2+$3=$6.NotethatGDPequalsthevalueofthefinalgood
(thebread).
3.Whenawomanmarriesherbutler,GDPfallsbytheamountofthebutler1ssalary.This
happensbecauseGDPmeasurestotalincome,andthereforeGDP,fallsbytheamountof
thebutler1slossinsalary.IfGDPtrulymeasuresthevalueofallgoodsandservices,then
themarriagewouldnotaffectGDPsincethetotalamountofeconomicactivityis
unchanged.ActualGDP,however,isanimperfectmeasureofeconomicactivitybecause
thevalueofsomegoodsandservicesisleftout.Oncethebutler'sworkbecomespart
ofhishouseholdchores,hisservicesarenolongercountedinGDP.Asthisexample
illustrates,GDPdoesnotincludethevalueofanyoutputproducedinthehome.
4.a.TheairplanesoldtotheU.S.AirForcecountsasgovernmentpurchasesbecausethe
AirForceispartofthegovernment.
b.TheairplanesoldtoAmericanAirlinescountsasinvestmentbecauseitisacapital
goodsoldtoaprivatefirm.
c.TheairplanesoldtoAirFrancecountsasanexportbecauseitissoldtoaforeigner.
d.TheairplanesoldtoAmeliaEarhartcountsasconsumptionbecauseitissoldtoa
privateindividual.
e.Theairplanebuilttobesoldnextyearcountsasinvestment.Inparticular,theairplane
iscountedasinventoryinvestment,whichiswheregoodsthatareproducedinone
yearandsoldinanotheryeararecounted.
5.Dataonparts(a)to(f)canbedownloadedfromtheBureauofEconomicAnalysis.Goto
theWebsite,clickontheinteractivedatatabatthetop,selectGDP,beginusing
thedata,section1,andthentable1.1.5.Choosethe"modifythedata"optiontoselect
theyearsyouinwhichyouareinterested.Bydividingeachcomponent(a)to(f)by
nominalGDPandmultiplyingby100,weobtainthefollowingpercentages:
195019802014
a.Personalconsumptionexpenditures64.0%61.3%68.5%
b.Grossprivatedomesticinvestment18.8%18.5%16.4%
c.Governmentconsumptionpurchases16.9%20.6%18.2%
d.Netexports0.2%-0.5%3.1%
e.Nationaldefensepurchases7.6%6.3%4.4%
f.Imports3.9%10.3%16.5%
(Note:TheabovedatawasdownloadedApril3,2015,fromtheBEAWebsite.)
Amongotherthings,weobservethefollowingtrendsintheeconomyovertheperiod
1950-2015:
a.Personalconsumptionexpenditureshavebeenaroundtwo-thirdsofGDPbetween
1980and2015.
b.TheshareofGDPgoingtogrossprivatedomesticinvestmentremainedfairlysteady.
c.Thesharegoingtogovernmentconsumptionpurchasesrosesharplyfrom1950to
1980.
d.Netexports,whichwerepositivein1950,havebeennegativesincethattime.
e.Thesharegoingtonationaldefensepurchaseshasfallen.
f.ImportshavegrownrapidlyrelativetoGDP.
6.a.GDPmeasuresthevalueofthefinalgoodsandservicesproduced,or$1,000,000.
b.NNPisequaltoGNPminusdepreciation.Inthisexample,GDPisequaltoGNP
becausethereare
noforeigntransactions.Therefore,NNPisequalto$875,000.
c.NationalincomeisequaltoNNP,or$875,000.
d.Employeecompensationisequalto$600,000.
e.Proprietors'incomemeasurestheincomeoftheowner,andisequalto150,000.
f.Corporateprofitisequaltocorporatetaxesplusdividendsplusretainedearnings,
or$275,000.
Retainedearningsiscalculatedassalesminuswagesminusdividendsminus
depreciationminuscorporatetax,or$75,000.
g.Personalincomeisequaltoemployeecompensationplusdividends,or$750,000.
h.Disposablepersonalincomeispersonalincomeminustaxes,or$550,000.
7.a.i.NominalGDPisthetotalvalueofgoodsandservicesmeasuredatcurrentprices.
Therefore,
=(P20;0Xft201;)+(P^10X0
NominalGDP2010\hotdogs^hotdogsf\burgers-沒burgers),
二($2x200)+($3x200)
=$400+$600
=$1,000.
=(堂xQ;*)+(8”52O15\
NominalGDP2015X0
\houlogs^hotdogs)\burgers—burgers)
=($4x250)+($4x500)
二$1,000+$2,000
二$3,000.
ii.RealGDPisthetotalvalueofgoodsandservicesmeasuredatconstantprices.
Therefore,tocalculaterealGDPin2015(withbaseyear2010),multiplythe
quantitiespurchasedintheyear2015bythe2010prices:
RealGDP2015=(P;嗎xQ”;xQ^i5)
\hotdogs。hotdogs)\burgers=burgers/
=($2x250)+($3x500)
二$500+$1,500
=$2,000.
RealGDPfor2010iscalculatedbymultiplyingthequantitiesin2010bytheprices
in2010.Sincethebaseyearis2010,realGDP2010equalsnominalGDP2010,whichis
$10,00.Hence,realGDPincreasedbetween2010and2015.
iii.TheimplicitpricedeflatorforGDPcomparesthecurrentpricesofallgoodsand
servicesproducedtothepricesofthesamegoodsandservicesinabaseyear.It
iscalculatedasfollows:
NominalGDP
ImplicitPriceDeflator^=2(11()=1
RealGDP2010
UsingthevaluesforNominalGDP2015andrealGDP2015calculatedabove:
_$3,000
ImplicitPriceDeflatoroi5
2一$2,000
=1.50.
Thiscalculationrevealsthatpricesofthegoodsproducedintheyear2015
increasedby50percentcomparedtothepricesthatthegoodsintheeconomy
soldforin2010.(Because2010isthebaseyear,thevaluefortheimplicitprice
deflatorfortheyear2010is1.0becausenominalandrealGDParethesamefor
thebaseyear.)
iv.Theconsumerpriceindex(CPI)measuresthelevelofpricesintheeconomy.The
CPIiscalledafixed-weightindexbecauseitusesafixedbasketofgoodsover
timetoweightprices.Ifthebaseyearis2010,theCPIin2015ismeasuringthe
costofthebasketin2015relativetothecostin2010.TheCPI2015iscalculatedas
follows:
(P竺嗎)+(PyxQ”。)
\hotdogs=hotdogs/'burgers口buyers7
CPI2015
(P*xQ力)+(P產(chǎn))
'holdogshotaogsz'burgersQburgers'
=$16,000,000
$10,00(),000
二1.6.
Thiscalculationshowsthatthepriceofgoodspurchasedin2015increasedby60
percentcomparedtothepricesthesegoodswouldhavesoldforin2010.TheCPI
for2010,thebaseyear,equals1.0.
b.TheimplicitpricedeflatorisaPaascheindexbecauseitiscomputedwithachanging
basketofgoods;theCPIisaLaspeyresindexbecauseitiscomputedwithafixed
basketofgoods.From(7.a.iii),theimplicitpricedeflatorfortheyear2015is1.50,
whichindicatesthatpricesroseby50percentfromwhattheywereintheyear2010.
From(7.a.iv.),theCPIfortheyear2015is1.6,whichindicatesthatpricesroseby60
percentfromwhattheywereintheyear2010.
Ifpricesofallgoodsroseby,forexample,50percent,thenonecouldsay
unambiguouslythatthepricelevelroseby50percent.Yet,inourexample,relative
priceshavechanged.Thepriceofhotdogsroseby1020percent;thepriceof
hamburgersroseby33.33percent,makinghamburgersrelativelylessexpensive.
AsthediscrepancybetweentheCPIandtheimplicitpricedeflatorillustrates,the
changeinthepriceleveldependsonhowthegoods'pricesareweighted.TheCPI
weightsthepriceofgoodsbythequantitiespurchasedintheyear2010.Theimplicit
pricedeflatorweightsthepriceofgoodsbythequantitiespurchasedintheyear2015.
Sincethequantityofthetwogoodswasthesamein2010,theCPIisplacingequal
weightonthetwopricechanges.In2015,thequantityofhamburgerswastwiceas
largeashotdogs,sothereistwiceasmuchweightplacedonthehamburgerprice
relativetothehotdogprice.Forthisreason,theCPIshowsalargerinflationrate一
moreweightisplacedonthegoodwiththelargerpriceincrease.
8.a.Theconsumerpriceindexusestheconsumptionbundleinyear1tofigureouthow
muchweighttoputonthepriceofagivengood:
CPIJ($2xl0)+($lxq
($lxl0)+($2x0)
=(%*。力+(尸二x。;)
=2.
AccordingtotheCPI,priceshavedoubled.
b.Nominalspendingisthetotalvalueofoutputproducedineachyear.Inyear1and
year2,Abbybuys10applesfor$1each,sohernominalspendingremainsconstant
at$10,Forexample,
(222
NominalSpending2=P,xgxQ)
二($2x0)+($1x10)
=$10.
c.Realspendingisthetotalvalueofoutputproducedineachyearvaluedattheprices
prevailinginyear1.Inyear1,thebaseyear,herrealspendingequalshernominal
spendingof$10.Inyear2,sheconsumes10greenapplesthatareeachvaluedat
theiryear1priceof$2,soherrealspendingis$20.Thatis,
RealSpending=仍4。方)+(尸二乂0二)
=($1xO)+($2x10)
=$20.
Hence,Abby'srealspendingrisesfrom$10to$20.
d.TheimplicitpricedeflatoriscalculatedbydividingAbby'snominalspendinginyear
2byherrealspendingthatyear:
,14cc,…NominalSpending,
二-
ImplicitPriceDeflator22
RealSpending2
$10
~$20
=0.5.
Thus,theimplicitpricedeflatorsuggeststhatpriceshavefallenbyhalf.Thereason
forthisisthatthedeflatorestimateshowmuchAbbyvaluesherapplesusingprices
prevailinginyear1.Fromthisperspectivegreenapplesappearveryvaluable.Inyear
2,whenAbbyconsumes10greenapples,itappearsthatherconsumptionhas
increasedbecausethedeflatorvaluesgreenapplesmorehighlythanredapples.The
onlywayshecouldstillbespending$10onahigherconsumptionbundleisifthe
priceofthegoodshewasconsumingfell.
e.IfAbbythinksofredapplesandgreenapplesasperfectsubstitutes,thenthecostof
livinginthiseconomyhasnotchanged—ineitheryearitcosts$10toconsume10
apples.AccordingtotheCPI,however,thecostoflivinghasdoubled.Thisisbecause
theCPIonlytakesintoaccountthefactthattheredapplepricehasdoubled;theCPI
ignoresthefallinthepriceofgreenapplesbecausetheywerenotintheconsumption
bundleinyear1.IncontrasttotheCPI,theimplicitpricedeflatorestimatesthecost
oflivinghasbeencutinhalf.Thus,theCPI,aLaspeyresindex,overstatestheincrease
inthecostoflivingandthedeflator,aPaascheindex,understatesit.
9.a.Thelaborforceincludesfulltimeworkers,parttimeworkers,thosewhoruntheirown
business,
andthosewhodonothaveajobbutarelookingforajob.Thelaborforceconsists
of70people.Theworkingagepopulationconsistsofthelaborforceplusthosenot
inthelaborforce.The10discouragedworkersandthe10retiredpeoplearenotin
thelaborforce,butassumingtheyarecapableofworking,theyarepartoftheadult
population.Theadultpopulationconsistsof90people,sothelaborforce
participationrateisequalto70/90or77.8percent.
b.Thenumberofunemployedworkersisequalto10,sotheunemploymentrateis
10/70or14.3percent.
c.Thehouseholdsurveyestimatestotalemploymentbyaskingasampleofhouseholds
abouttheiremploymentstatus.Thehouseholdsurveywouldreport60people
employed.Theestablishmentsurveyestimatestotalemploymentbyaskingasample
ofbusinessestoreporthowmanyworkerstheyareemploying.Inthiscasethe
establishmentsurveywouldreport55peopleemployed.The5peoplewith2jobs
wouldbecountedtwice,andthe10peoplewhoruntheirownbusinesswouldnot
becounted.
10.AsSenatorRobertKennedypointedout,GDPisanimperfectmeasureofeconomic
performanceorwell-being.Inadditiontotheleft-outitemsthatKennedycited,GDPalso
ignorestheimputedrentondurablegoodssuchascars,refrigerators,andlawnmowers;
manyservicesandproductsproducedaspartofhouseholdactivity,suchascookingand
cleaning;andthevalueofgoodsproducedandsoldinillegalactivities,suchasthedrug
trade.TheseimperfectionsinthemeasurementofGDPdonotnecessarilyreduceits
usefulness.Aslongasthesemeasurementproblemsstayconstantovertime,thenGDPis
usefulincomparingeconomicactivityfromyeartoyear.Moreover,alargeGDPallows
ustoaffordbettermedicalcareforourchildren,newerbooksfortheireducation,and
moretoysfortheirplay.Finally,countrieswithhigherlevelsofGDPtendtohavehigher
levelsoflifeexpectancy,betteraccesstocleanwaterandsanitation,andhigherlevelsof
education.GDPisthereforeausefulmeasureforcomparingthelevelofgrowthand
developmentacrosscountries.
11.a.RealGDPfallsbecauseDisneyWorlddoesnotproduceanyserviceswhileitisclosed.
Thiscorrespondstoadecreaseineconomicwell-beingbecausetheincomeof
workersandshareholdersofDisneyWorldfalls(theincomesideofthenational
accounts),andpeople'sconsumptionofDisneyWorldfalls(theexpendituresideof
thenationalaccounts).
b.RealGDPrisesbecausetheoriginalcapitalandlaborinfarmproductionnowproduce
morewheat.Thiscorrespondstoanincreaseintheeconomicwell-beingofsociety,
sincepeoplecannowconsumemorewheat.(Ifpeopledonotwanttoconsumemore
wheat,thenfarmersandfarmlandcanbeshiftedtoproducingothergoodsthat
societyvalues.)
c.RealGDPfallsbecausewithfewerworkersonthejob,firmsproduceless.This
accuratelyreflectsafallineconomicwell-being.
d.RealGDPfallsbecausethefirmsthatlayoffworkersproduceless.Thisdecreases
economicwell-beingbecauseworkers*incomesfall(theincomeside),andthere
arefewergoodsforpeopletobuy(theexpenditureside).
e.RealGDPislikelytofall,asfirmsshifttowardproductionmethodsthatproducefewer
goodsbutemitlesspollution.Economicwell-being,however,mayrise.Theeconomy
nowproduceslessmeasuredoutputbut
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