The revenue for a product is R(x) = −0.004x 2 + 21x − 6200 and the cost is C(x) = 0.02x + 38, for x units produced and sold. (a) Find the marginal profit for 2800 units. (b) Should output be increased or decreased to generate a higher profit?

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 revenue for a product is R(x) = −0.004x
2 + 21x − 6200 and the cost is C(x) = 0.02x + 38, for x units produced and sold.
(a) Find the marginal profit for 2800 units.
(b) Should output be increased or decreased to generate a higher profit?

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