A manufacturer can produce at most 100 units of a certain product each year. The demand equation for the product is p = q- - 100q + 2100 and the manufacturer's average-cost function is 2 13,000 C = 7 2 - 50q + Determine the profit-maximizing output q and the corresponding maximum 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.)