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Problem 3: A market with a monopoly producer has inverse demand P = 120 - 2Q (which gives marginal revenue MR = 120 - 4Q). Th
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Answer #1

a. Monopoly produces at MC=MR

120-4Q=4Q

Q*= 120/8= 15

P*=120-2*15=$90

Producer surplus is the area below the price level and above the MC curve.

Producer surplus= (90-60)*15+0.5*(15)(60)= 450+450=$900

b. When P=MC

120-2Q=4Q

Q=120/6=20

Deadweight loss is the potential gain that did not go to consumer or producer.

Deadweight loss=0.5(90-60)(20-15)=$75

c. Producer surplus under perfect discrimination is the area below the demand curve and above the MC curve till Efficient quantity.

Producer surplus= 0.5(120)(20)=$1200

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