Suppose Firm X is a dominant firm in a market where the market demand is Q = 1200 -2p. Once Firm X sets its price, those small competitors set their prices a little lower so that they can always sell up to their capacity. Assume the small firms’ combined capacity is 100 units. Further assume Firm X’s marginal cost is 50. Answer the following questions. Let Q^D be the quantity produced by the dominant firm. Write down the residual demand function faced by Firm X. (Hint: Think about how Q and Q^D are related.) Find Firm X’s profit-maximizing price.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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  1. Suppose Firm X is a dominant firm in a market where the market demand is Q = 1200 -2p. Once Firm X sets its price, those small competitors set their prices a little lower so that they can always sell up to their capacity. Assume the small firms’ combined capacity is 100 units. Further assume Firm X’s marginal cost is 50. Answer the following questions.

    1. Let Q^D be the quantity produced by the dominant firm. Write down the residual demand function faced by Firm X. (Hint: Think about how Q and Q^D are related.)

    2. Find Firm X’s profit-maximizing price.

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