MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
For a certain product the demand equation is p=90−q, where p is the price (dollars) and q is the quantity sold. The total cost of producing q units is C(q)=40q+300. Which price maximizes the firm’s profit?
(a) 40 dollars
(b) 65 dollars
(c) 45 dollars
(d) 75 dollars