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MicroeconomicsEBDB5-Group3 ASSIGNMENT9-TOPIC9
MARKETENTRYANDMONOPOLISTICCOMPETITION OLIGOPOLYANDSTRATEGICBEHAVIOR Members: 1. HoàngTrọngHiếu 2. TrươngThuThủy 3. CaoVănTài 4. PhạmThịNguyệtThảo 5. NguyễnTrungKiên 6. LươngThịBạchDương Answer a.Tomaximizetheprofit,MR=MC +TR=P.Q=(15-Q).Q=15Q-Q2 +MR=TR’=(15Q-Q2)’=15-2Q +MC=TC’=(7Q)’=7 =>15-2Q=7 => Q=4 => P=15-4=11$
MarketpowerofthisfirmbyLennerindicator:L= 𝑃 = − 𝑀𝐶 =10 1 .−37636 𝑃 11
b.Foraperfectcompetitivemarket,themarginalcostinthiscaseisgiven by the total
costfunction'sderivative,whichisMC=7. =>7=15-Q =>Q=8 =>P=7
Tofindthe consumer surplus, we need to calculate the area under the demand curve up tothecorrespondingquantities:
+Consumersurplusundermonopoly=(1/2)*(15-11)*4=8.
+Consumersurplusunderperfectcompetition=(1/2)*(15-7)*8=32.
=>Therefore,thedeadweightloss(DWL)isthedifferenceinconsumersurplus: DWL=32-8=24. MicroeconomicsEBDB5-Group3 Answer: a.Profitmaximizationwhen:MR=MC +TR=P.Q=(100-Q).Q=100Q-Q^2 =>MR=(TR)’=100-2Q
+TC=FC+VC=FC+AVC.Q=200+(Q+4).Q=Q^2+4Q+200 =>MC=(TC)’=2Q+4
=>MR=MC⇔ 100-2Q=2Q+4⇔ 4Q=96⇔ Q=24isoptimaloutputlevel.
=>Maximumprofit(withQ*=24): 𝜋 =TR-TC=952($) b.
Ifthisfirmaperfectcompetitive,tomaximizetheprofit,MC=P 2Q+4=100-Q ⇔ Q1=32 MicroeconomicsEBDB5-Group3 ⇔ P1=68
Theconsumersurplus=SIAP*=24.(100-76)/2=288$
Thedeadweightloss(DL)=SAEB=BE.AE/2=(32-24).(76-52)/2=96$ c.
-Ifthisfirmappliesperfectpricediscrimination,theywillsettheprice
accordingtothedemandcurve,atthepointwheresupplyanddemandintersect.
-Atthat,aligningtothehorizontalaxiswehaveoutputofQ=32
=>ThefirmincreaseprofitbytakingmoreCSandDWL
=>Profit=952.08+288+96=1,336.08 d. -Beforediscrimination: PS=P*AEC=(AE+CP*).AP*/21152$ CS=288$ DWL=96$ -Afterdiscrimination: FirmexpandedoutputtoQ1=32 WegotnewPS=1024$,CS=512$
So,byperfectpricediscrimination,firmincreasedprofitbygettingmoreCS andDWL.