Maximizing Profits The weekly demand for DVDs manufactured by a certain media corporation is given by P = -0.0005x2 + 60 where p denotes the unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with producing these discs is given by C(x) = -0.002x + 15x + 3500 where C(x) denotes the total cost (in dollars) incurred in pressing x discs. 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 Need Help? Read It 6. [-/2 Points] DETAILS TANAPCALC10 4.R.047. MY NOTES PRACTICE ANOTHER Minimizing Average Cost The total monthly cost (in dollars) incurred by a certain guitar manufacturer in manufacturing x units of its Professional Series guitars is given by the function C(x) = 0.001x + 50x + 4000. (a) Find the average cost function C. C = (b) Determine the production level that will result in the smallest average production cost. x = | Need Help? Read It