Esercizi Microeconomics

TutorialEx 8

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Ex tutorial 82

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Tutorial 8Ex 3

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Ex ut3 exercise

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Ex tutorialt

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Ex I exam

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RutI exercisex

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Ex 3 setexercise

It becomeswhen two afunctionutilityCobb Douglas- .a) theIs beutilityherdefined must alwaysfei 3andx xu> is oo, , . ..b) xr ,¥¢theb. is min .level consumptionof /./utilityO t- Xxt's.If the utilityandlaX Xue s a :c is, " "⇐¥¥.qutilityO a- . utility becameO -xzcsC- uthx. exercise Perfect substitutesa) We the utilityitfindhave notto endde inincreasing Xiis xa .to )the ()Julia it'sgradienthave tto compute Ido increasing: - xnxn vsno we -,,,Xy decreasingend Xzon ..the )ufx when I Kis KXu Xuanso > t* s oo -- -, . .We L't becamethe these perfect substitutessystemwecan are .PIT thenWe thatknow IMRSIoptimalthe must satisfybundle where= past,IIMRSIhave =we Pz .We thenMV MV theend Muralready computed Muiwith gradient and tA xno -, ., ,,,I ¥ !thenthat MRS if forequatehave = =p solvegetwe wewe canXz lI - ,get I IXz=Xz and Xz=Pz pzXo f*: pz .- ---then )HwhenXz I pactsPa •> pasoo -- • - .PastOur budget constraint for thtif getreliveandis xxx wepzxz phew xx.w#p at - wethat )puffknow havebut txx XEW PaXipzxz wpz- we w- we -- -- ., ,then pulse )(( ein twhen t PaX1 prew pz sso - w -- .c)b) I( ) pal tohave ulxa.tv/,wpale# put #end intox x=pa wpa w - -., ,, ' -2,02ttpfsftp./+lt-p4-t-zft-paYXz#pwa - ,)( EpiEpztpihtt.ph #=Ps Pz I PaW w -- --. ., , E IIIPatw + --

Ex further Utept exercises

On t'- )VIPpalEtw put no ,w- so Perfectaisitcomplement)a) { Exa( )Loo Psw Xzhe= pies xxend xnu min== ., . .,,BAMBI Xy Xza, A2 2Exa hXz =Hila4¥ les' lalaB Batteriesb) to theAfind the optimal budgetput intobundle togothave XE Exaweconstraint forthen( to) haveExtget solvewpeat =peatwpair so pie= we we,, , I) 200( ¥ *PHIR 8=4while8Xt xx = = '. w . xa== xt=q .← w,,Ex further UMP2 exercises on.a) takeIf thetht they bustles'trandom2you youpawns sosay arecan, , ,relation completeisn't .b) It tear brotha it transitiveofofbrotha is isyx yis sox ., ,Ex 3 further UMPexercises on. fttomatoes SauBaek Whentien 3b) > .a. Herst 3.TWhen p>the Twhen ' . f-' RstIM = \ BEnectarinestutorialEx h.Ina) take transformationC- D it thefunction functionutility to log of utilityusefulis, a .

Funzione e vincoli

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