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Question

The total cost of producing x units of a certain commodity is C(x) thousand dollars, where $C(x)=x^{3}-20 x^{2}+179 x+242.$ a. Find A'(x), where $A(x)=\frac{C(x)}{x}$ is the average cost function. b. For what values of x is A(x) increasing? For what values is it decreasing? c. For what level of production x is average cost minimized? What is the minimum average cost?

Solution

VerifiedStep 1

1 of 5Given

$C(x)=x^{3}-20 x^{2}+179 x+242$

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