suppose an industry consists of 10 identical firms with no fixed cost and marginal cost equal to MCi = 2qi (e.g., the marginal cost of the 20th unit is $40, the marginal cost of the 200th unit is $400, etc.). Further, suppose that the market demand in the industry is P = 840 - .5Q, where Q = ∑qi is the aggregate quantity from all 10 identical firms. Finally, ignore the possibility of new entrants beyond the 10 current firms. Maintaining the same assumptions as in the prior question, suppose now that the 10 firms collude and set quantity to maximize industry profits. Assuming that the 10 firms each produce an equal amount, how much will each firm produce this collusive equilibrium?

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter16: Bargaining
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suppose an industry consists of 10 identical firms with no fixed cost and marginal cost equal to MCi = 2qi (e.g., the marginal cost of the 20th unit is $40, the marginal cost of the 200th unit is $400, etc.). Further, suppose that the market demand in the industry is P = 840 - .5Q, where Q = ∑qi is the aggregate quantity from all 10 identical firms. Finally, ignore the possibility of new entrants beyond the 10 current firms. Maintaining the same assumptions as in the prior question, suppose now that the 10 firms collude and set quantity to maximize industry profits. Assuming that the 10 firms each produce an equal amount, how much will each firm produce this collusive equilibrium?

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