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The weekly demand for DVDs manufactured by a certain media corporation is given by p =...

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

p = −0.0004x2 + 70

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) = −0.001x2 + 19x + 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.)

x = ? DVDs

Math   Calculus   
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