The weekly demand for DVDS manufactured by Herald media Corporation is given by p =-.0005x +60, where p denotes the unit price in S and x denotes the quantity demanded. The weekly cost function associated with producing these discs is given by C(x) =-0.001x +18x+ 4000 Where C(x) denotes the total cost in $ incurred in pressing x discs. Find the production level that will yield a maximum profit for the manufacturer. What will be maximum profit?

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 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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3) The weekly demand for DVDS manufactured by Herald media
Corporation is given by p =-.0005x +60, where p denotes the unit
price in S and x denotes the quantity demanded. The weekly cost function
associated with producing these discs is given by
C(x) =-0.001x +18x+4000
Where C(x) denotes the total cost in $ incurred in pressing x discs. Find
the production level that will yield a maximum profit for the
manufacturer. What will be maximum profit?
Transcribed Image Text:3) The weekly demand for DVDS manufactured by Herald media Corporation is given by p =-.0005x +60, where p denotes the unit price in S and x denotes the quantity demanded. The weekly cost function associated with producing these discs is given by C(x) =-0.001x +18x+4000 Where C(x) denotes the total cost in $ incurred in pressing x discs. Find the production level that will yield a maximum profit for the manufacturer. What will be maximum profit?
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