The total cost (in dollars) of producing units of an item is

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The total cost (in dollars) of producing qq units of an item is C(q)=q3−12q2+57q+100C(q)=q^{3}-12q^{2}+57q+100. Determine the production level that minimizes the average cost per unit.

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