A product has demand price dollars when units are sold

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

Problem

A product has demand price

p(q)=50-0.2q

dollars when

q

units are sold, and its production cost is

C(q)=5q+1000

dollars. Determine the quantity

q

that maximizes the company’s daily profit.