The cost (in pesos) of producing x corkboards is given by x? + 20x + 500, while the price (in pesos) of each corkboard if there is a demand for x units is given by p(x) = 100 - x. (a) Find the marginal profit of producing and selling 15 corkboards. (b) At what production level is the profit at a maximum?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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The cost (in pesos) of producing x corkboards is given by x? + 20x + 500, while the price (in
pesos) of each corkboard if there is a demand for x units is given by p(x) = 100 - x.
(a) Find the marginal profit of producing and selling 15 corkboards.
(b) At what production level is the profit at a maximum?
Transcribed Image Text:The cost (in pesos) of producing x corkboards is given by x? + 20x + 500, while the price (in pesos) of each corkboard if there is a demand for x units is given by p(x) = 100 - x. (a) Find the marginal profit of producing and selling 15 corkboards. (b) At what production level is the profit at a maximum?
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