micro economics discussion question pls do it carefully and make sure they are right thank you dont need to explain the answer but need steps Requirements: short IntermediateMicroeconomicswithCalculusHW3(submitelectronicallyonblackboard)Choice,Labor,SavingPleasedrawgraphscarefullyandexplainyouranswerswhenthequestionasksforexplanation.1.DanactsasifhemaximizesU=2x+ygivenincomeY=6.Forthefollowingprices(a)Describealltheutilitymaximizingbundleswhenpx=2andpy=1(whatareallthecombinationsofxandythatmaximizeutility)(b)Describealltheutilitymaximizingbundleswhenpx=1andpy=1(whatareallthecombinationsofxandythatmaximizeutility)(c)Writethedemandfunctionforx(itwillbepiecewise)(d)Plotthedemandfunction(labelyourgraphbasedoninformationinthepreviouspartsofthequestion)2.Paulchoosespresentconsumptionandconsumptioninthefuturec1andc2asifhemaximizesU=c21c2.Paulfacesaninterestrateforsavingandborrowingr=0:1,presentincomeY1=100,futureincomeY2=50(andp1=1andp2=1-noin ation).(a)WritethebudgetconstraintforPaul(b)Writetheconsumptionlevelsc1andc2thatPaulchooses(c)(dicult)Writethebudgetconstraintwhenthereis20%in ation3.GregchoosesconsumptionandleisurecandlasifhemaximizesU=cl2.GreghasH=16hourstoallocatetolaborLandleisurel,Gregispaidanhourlywageofw=20andeachunitofconsumptioncostsp=1.(a)WritethebudgetconstraintforGreg(b)(dicult)Writethedemandfunctionforleisure(c)(dicult)Howdoesleisurechangewhenthewageincreases?Explain.(hint:writethebudgetconstraintinunitsofhours)4.MonicahaspreferencesthatcanberepresentedbyU=c`,hasH=16hoursinherdayandcanearnwagew=10perhour.Unitsofthecompositegoodccostpc=1.(a)WhatlevelofconsumptioncwillMonicachoose?(b)Ifthewagegoesuptow=20butthepriceofconsumptionincreasestopc=2isMonicabetterorworseo?1