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7. A certain monopoly faces a market demand curve given by Q = 30 2P. A. If C = 5 + 2Q, what quantity and
7. A certain monopoly faces a market demand curve given by Q = 30 2P. A. If C = 5 + 2Q, what quantity and price should be chosen to maximize prot? What is this rm's maximum prot? B. Suppose now that the monopoly is able to separate the market into 2 groups with demand and marginal revenue functions as follows: A:Q=10P,MR=102Q B: Q=20P,MR=202Q If the monopoly engages in price discrimination, what price and quantity will result in each submarket? What is maximum prot now? 7. No discrimination: Q = 13, P = $8.50, Profit = $79.50. Discrimination: QA = 4, PA = $6, QB = 9, PB = $11, Profit = $92. W/O Discrimination: QA = 1.5, QB = 11.5 Elasticity for Group A = 8.5/1.5, Elasticity for Group B = 8.5/11.5
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