Maximizing profit a division of chapman corporation

Question

Question: MAXIMIZING PROFIT A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $20,000, and the variable cost for producing x pagers/week is

V(x) = 0.000001x³ - 0.01x² + 50x

Dollars . The company realizes a revenue of

R(x) = -0.02x² + 150x                 (0 ≤ x ≤ 7500)

Dollars from the sale of x pagers/week . Find the level of production that will yield a maximum profit for the manufacturer.