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1. Negative externalities Consider two firms, each owning an oil refinery that both produce fuel. Fuel has a market price of P $5 per gallon. The cost function for Firm 1 is C(Q1) -2Q1 and the cost function for Firm 2 is C(Q2) - 2Q2. Each refinery produces smog, >i, 2 2 which creates $0.10 of environmental damage per cubic foot. The amount of environmental damage, Di, for each firm is D1 (0.10)S (0.10) (Q) Ds = (0.10)$-(0.10)(Q) (a) Find the optimal level of smog that results from producing the socially optimal quantity of fuel, i.e. S S2 (Hint: Q1 -15 and Q2-30) (b) The government decides to form an emissions trading program to reach the socially efficient level of smog production. It decides to issue total allowances in the amount found in part (a). The government decides to give all of the allowances to Firm 2. Firm 2 is considering the following alternatives Alternative 1: Keep and use all of the allowances Alternative 2: Do not produce and sell all of the allowances to Firm 1 for $0.05 each Which alternative should Firm 2 choose? (Hint: The firm wants to maximize its profits)

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