A firm’s revenue (in dollars) from selling units is

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A firm’s revenue (in dollars) from selling

q

units is

R(q)=100q-2q^{2}

, and its cost is

C(q)=20q+200

. Determine the number of units the firm should produce to maximize profit.