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Precision Machine Company produces a unique and high-quality machinefor sale. The company is a price maker in the domestic market. The total cost and marginal cost functions for machine production areTC = 20,000 + 0.25q2; MC = 0.5q. where q is the quantity of machines produced. The demand curve facing theprice-making firm is given by q = 500 -P.That is, P = 500 -q.
a) Find the total revenue (TR) function for the company (in terms of q).
b) Find the company's marginal revenue (MR) function (in terms of q).
c) Using the MR = MC rule, determine the profit-maximizing level of output.
d) Calculate profits for the company.
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