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3) Suppose that a firm faces a marginal revenue curve given by P=200. The firm has a total cost function of = ^3 20^2 +

3) Suppose that a firm faces a marginal revenue curve given by P=200. The firm has a total cost function of = ^3 20^2 + 200 + 576.

a. What is the optimal quantity for this firm to produce?

b. What is the firm's short-run supply curve?

c. When p=105, will the firm shut down?

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