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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?

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?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.EA: Extended Application Estimating Depletion Dates For Minerals
Problem 4EA
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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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