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A Firm Manager Needs to Decide on the Optimal Level TVC=20Q2Q2+Q3T V C = 20 Q - 2 Q ^ { 2 } + Q ^ { 3 }

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A firm manager needs to decide on the optimal level of the firm's output. Given the total variable cost function TVC=20Q2Q2+Q3T V C = 20 Q - 2 Q ^ { 2 } + Q ^ { 3 } , fixed cost , and the price of the product , find the profit maximizing level of output.

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