The cost (in dollars) of producing x corkboards is given by x2+20x+500, while the price (in dollars) of each corkboard if there is a demand for x units is given by p(x) = 100 -x. 1. Find the marginal profit producing and selling 15 corkboards. 2. At what production level is the profit at a maximum?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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The cost (in dollars) of producing x corkboards is given by x2+20x+500, while the price (in dollars) of each corkboard if there is a demand for x units is given by p(x) = 100 -x.

1. Find the marginal profit producing and selling 15 corkboards.

2. At what production level is the profit at a maximum?

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