The cost function for the manufacture of x number of goods by a company is C(x) = x3-9x2+24x. Find the level of output at which marginal cost is minimum. Further, if the selling price of a unit is 2x3+9x2, find the average profit.

Managerial Economics: A Problem Solving Approach
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Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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The cost function for the manufacture of x number of goods by a company is C(x) = x3-9x2+24x. Find the level of output at which marginal cost is minimum. Further, if the selling price of a unit is 2x3+9x2, find the average profit. 
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