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A Monopolist Has the Following Short-Run Total Cost,marginal Cost,and Demand TC=32+2Q+12Q2T C = 32 + 2 Q + \frac { 1 } { 2 } Q ^ { 2 }

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A monopolist has the following short-run total cost,marginal cost,and demand functions:
Total Cost: TC=32+2Q+12Q2T C = 32 + 2 Q + \frac { 1 } { 2 } Q ^ { 2 }
Marginal Cost: MC=2+QM C = 2 + Q Demand: Q=522PQ = 52 - 2 P where P is the price per unit of output,and Q is the quantity of output.
(
A)What price and quantity combination maximizes the monopolist's total revenue?

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