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QUESTION 1 (40 possible points, 20 points each of 2 parts): Consider a firm that supplies its product to the competitive world market, with Pw = $200. The firm's cost function is c (q) = 400 + q2. 1. Find (i) the firm's profit-maximizing output and (ii) its resulting profits. 2. Suppose that the government of the country where this firm resides decides to prohibit the import of the good to the country, thereby making the firm a monopolist in the domestic market, with domestic demand given by Pa (qa ) = 400 - 4qa . Assuming that resales between customers in the domestic and world markets are not possible, find (i) the firm's profit-maximizing total output, (ii) how it divides that output between the two markets, and (iii) its resulting profits