A manufacturer can produce at most 140 units of a certain product each year. The demand equation for the product is p = q - 100q + 4800 and the manufacturer's average-cost function is 2 . 2 13,000 C = 29 2 - 30q+ Determine the profit-maximizing output q and the corresponding maximum q profit. . . . The profit-maximizing output q is The maximum profit that corresponds to the profit-maximizing output is $ (Round to the nearest cent as needed.)