A company faces the price–demand relation dollars per unit

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

Problem

A company faces the price–demand relation p(q)=80−0.5qp(q)=80-0.5q dollars per unit, where qq is the number of units sold. Its total cost is C(q)=20q+300C(q)=20q+300 dollars. Which production level maximizes the company’s profit? (a) q=80q=80 (b) q=40q=40 (c) q=60q=60 (d) q=120q=120

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