A manufacturer can produce at most 130 units of a certain product each year. The demand equation for the product is p = q2 100q + 4200 and _ _ , 2 2 12,000 the manufacturer's average-cost function is c = Eq 35q + q Determine the profit-maximizing output q and the corresponding maximum prot. The prot-maximizing output q is The maximum prot that corresponds to the profit-maximizing output is $D. (Round to the nearest cent as needed.)