Maximizing Profits The weekly demand for DVDS manufactured by a certain media corporation is given by p = -0.0003x? + 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) = -0.002x2 + 16x + 3000 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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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Maximizing Profits The weekly demand for DVDS manufactured by a certain media corporation is given by
p = -0.0003x2 + 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) = -0.002x2 + 16x + 3000
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
Transcribed Image Text:Maximizing Profits The weekly demand for DVDS manufactured by a certain media corporation is given by p = -0.0003x2 + 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) = -0.002x2 + 16x + 3000 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
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