The price (in dollars) at which a product can be sold is related to the quantity…

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The price pp (in dollars) at which a product can be sold is related to the quantity qq demanded by p=60−0.3qp = 60 - 0.3q. The total cost (in dollars) of producing qq units is C(q)=15q+200C(q)=15q+200. What price should the firm charge per unit to maximize profit? (a) p=30p=30 (b) p=37.50p=37.50 (c) p=35p=35 (d) p=40p=40

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