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 per week is V (x )space equals space 50 x minus.01 x squared plus 0.000001 x cubed dollars. The company sells pagers at a price, 0 space less or equal than x space less or equal than 7500 p (x )space equals space 150 minus.02 x Find the level of production that will yield a maximum profit for the manufacturer