A manufacturer’s profit

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

Problem

A manufacturer’s profit, in dollars, from producing and selling

q

units of a certain item is modeled by

P(q)=q(50-2q)-100

. For what production level

q

(in units) is the profit maximized? (a)

25

(b)

12.5

(c)

10

(d)

\dfrac{50}{3}\,\approx16.7