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5. (6 points) Find (a) the prot maximizing level of outputs and (b) maximum prot for the monopolistic producer of two products 1 and 2

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5. (6 points) Find (a) the prot maximizing level of outputs and (b) maximum prot for the monopolistic producer of two products 1 and 2 with the demand functions being: Q; = 50 0.5 P; Q; = 76P2 and the joint cost function C : 3g? + 2Q1Q2 + 2Q;2 + 55. [Make sure to check the second order conditions for maximum. ]

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