The weekly revenue (in dollars) from selling digital subscriptions is modeled by…

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

Problem

The weekly revenue (in dollars) from selling

q

digital subscriptions is modeled by

R(q)=-q^{2}+40q+1000, \quad 0\le q\le 50.

For what number of subscriptions is the revenue maximized? (a)

q=25

(b)

q=20

(c)

q=10

(d)

q=40