Find the price x that will maximize the company's revenue

Question

A company sells a particular model of bicycle for I dollars and predicts that the revenue from selling the bicycles is given by f(x) = 1410x - 3x^2. Find the price x that will maximize the company's revenue.

Answer 1

R = 1410x - 3x^2

take the derivative and set equal to zero

R' = 1410 -6x = 0

x = 1410/6 = $235 = revenue maximizing price