The weekly demand for dvds manufactured by a certain media corporation is given by
p = −0.0006x2 + 65
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) = −0.002x2 + 13x + 4000
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.)