A company’s revenue (in dollars) from the sale of units is

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

A company’s revenue (in dollars) from the sale of

q

units is

R(q)=40q-q^{2}

, and its cost (in dollars) is

C(q)=10q+50

for

q\ge 0

. Determine the quantity that maximizes the company’s profit. (a)

q=20

(b)

q=10

(c)

q=15

(d)

q=25