Question

If C(x) is the cost of manufacturing an amount x of a given product and $12 is the price per unit amount, then the profit P(x) obtained by selling an amount x is

P(x) = 12 x − C(x).

(Notice that there is a loss if P(x) is negative.)

 If C(x) = (x − 10)2 + 18, find the maximum profit (which might be negative!).

The maximum profit is   dollars.

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MathCalculus

Derivative

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