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A firm produces two goods in pure competition and has the following total revenue and total cost functions: TR = 150, +18Q2 TC =

A firm produces two goods in pure competition and has the following total revenue and total cost functions: TR = 150, +18Q2 TC = 20 +2Q1 Q2 +3Q/ The two goods are technically related in production, since the marginal cost of one is dependent on the level of output of the other (for example, TC/aQ = 4Q +20). Maximize profits for the firm, using (a) Cramer's rule for the first-order condition and (b) the Hessian for the second-order condition.

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