A monopolist sells two products Q1 and Q2 for which the demand functions are: Q1 = 100 – 3P1 + 2P2 , Q2 = 75+0.5P1 - P2 and the joint cost function is TC = Q1 2 + 2Q1Q2 + Q2 2 .   a. Use Cramer’s rule method to find the prices. Solve for the profit maximizing level of output and the maximum profit.   b. Use the Hessian to check the second-order condition.

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