10. The management of a company estimates that the cost (in RM) to produce x units of a certain product is given by C(x) = 0.015x² +10x+ 300. The revenue (in RM) generated after selling x units of this product is R(x) = 60x – 0.01x². Find a) the maximum profit. b) the selling price per unit in order to maximize the profit. c) the level of production so that the average cost is minimum.

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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The management of a company estimates that the cost (in RM) to produce x units of a
certain product is given by C(x) = 0.015x² +10x+300. The revenue (in RM) generated
10.
after selling x units of this product is R(x)= 60x –- 0.01x². Find
a) the maximum profit.
b) the selling price per unit in order to maximize the profit.
c) the level of production so that the average cost is minimum.
Transcribed Image Text:The management of a company estimates that the cost (in RM) to produce x units of a certain product is given by C(x) = 0.015x² +10x+300. The revenue (in RM) generated 10. after selling x units of this product is R(x)= 60x –- 0.01x². Find a) the maximum profit. b) the selling price per unit in order to maximize the profit. c) the level of production so that the average cost is minimum.
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