Maximizing Profits The weekly demand for DVDS manufactured by a certain media prporation is given byp = -0.0003x2 + 60where 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 byC(x) = -0.002x2 + 15x + 2000where 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 youranswer to the nearest integer.)DVDSNeed Help?Read It

Let the production level of x DVDs yield a maximum profit for the manufacturer. Then the revenue on…

Maximizing Profits The weekly demand for DVDS manufactured by a certain media prporation is given by p- -0.0003x2 + 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 Cx) - -0.002x + 15x + 2000 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.) DVDS

Maximizing Profits The weekly demand for DVDS manufactured by a certain media prporation is given by p- -0.0003x2 + 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 Cx) - -0.002x + 15x + 2000 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.) DVDS

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 78E

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