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Suppose the revenue and cost function of a firm is given by R(Q) =1200Q - 2Q^2 C(Q) = Q^3 -61.25Q2+1528.5Q+2000 Find the profit maximizing level

Suppose the revenue and cost function of a firm is given by R(Q) =1200Q - 2Q^2 C(Q) = Q^3 -61.25Q2+1528.5Q+2000

Find the profit maximizing level of Q. How can you tell that this a local maximum? Calculate the total profit at the optimal level of output.

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