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You are the manager of a firm that sells its product in a competitive market at a price of $50. Your firm's cost function is C = 40 + 5Q2. The profit-maximizing output for your firm is

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Answer: Q = 5

Explanation:

In a competitive market, the profit maximising quantity is the quantity at which Marginal Cost is equal to Marginal revenue.

In a competitive market, price is equal to marginal revenue so marginal revenue is $50.

Marginal cost would be the differential of the cost function;

= 40 + 5Q²

= (2 * 5) * Q

= 10Q

10Q = 50

Q = 50/10

Q = 5

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