Maximizing ProfitsThe weekly demand for DVDs manufactured by a certain media corporation is given by

p=0.0005x²+40

wherepdenotes the unit price in dollars andxdenotes the quantity demanded. The weekly total cost function associated with producing these discs is given by

C(x) =0.002x²+14x+3000

whereC(x) denotes the total cost (in dollars) incurred in pressingxdiscs. Find the production level that will yield a maximum profit for the manufacturer.Hint:Use the quadratic formula. (Round your answer to the nearest integer.)

x = _____ DVDS