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A Manufacturer Estimates That If He Produces X Units of a Particular

Question 53

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A manufacturer estimates that if he produces x units of a particular commodity, the total cost will be C(x)=x324x2+350x+400C ( x ) = x ^ { 3 } - 24 x ^ { 2 } + 350 x + 400 dollars. For what value of x does the marginal cost M(x)=Ct(x)M ( x ) = C ^ { t } ( x ) satisfy M(x)=0M ^ { \prime } ( x ) = 0 ?

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