# ch9_example4 - The total and marginal cost functions for a...

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The total and marginal cost functions for a typical soft coal producer are: TC = 75,000 + 0.1Q 2 and MC = 0.2Q where Q is measured in railroad cars per year. The industry consists of 55 identical producers. The market demand curve is: Q D = 140,000 - 425P, where P is the price per carload. The market can be regarded as competitive. a. Calculate the short run equilibrium price and quantity in the market. Calculate the quantity that each firm would produce. Calculate producer surplus, consumer surplus, and total surplus at the equilibrium values. Calculate the firm's profit (or loss). b. The Federal government is considering the imposition of a \$15 per carload tax on soft coal. Calculate the short-run equilibrium price and quantity that would exist under the tax. What portion of the tax would be paid by producers and what portion by consumers? Calculate the producer and consumer surplus under the tax and analyze the efficiency consequences of the tax. Calculate the firm's profit (or loss)

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## This note was uploaded on 04/07/2009 for the course ECON 302 taught by Professor Toossi during the Spring '08 term at University of Illinois at Urbana–Champaign.

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ch9_example4 - The total and marginal cost functions for a...

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