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) = 0.000008x3 - 0.07x2 + 30x dollars.
The company realizes a revenue of R(x) = -0.08x2 + 180x (0
Find the level of production that will yield a maximum profit for the manufacturer.