(A) To determine To graph: The daily cost function C ( x ) = − 7.5 x 2 + 305 x + 625 for the interval 0 ≤ x ≤ 20 and calculate the change in cost from 5 to 10. Explanation Calculation: In order to find the change in C ( x ) , just find the difference between C ( x ) at x = 5 and x = 10 . Substitute x = 5 in C ( x ) , C ( 5 ) = − 7.5 ( 5 ) 2 + 305 ( 5 ) + 625 = − 187.5 + 1525 + 625 = 1962.5 Substitute x = 10 in C ( x ) , C ( 10 ) = − 7 (B) To determine To graph: The marginal cost function C ′ ( x ) for the interval 0 ≤ x ≤ 20 and find the area between C ′ ( x ) and x -axis from 5 to 10 using geometric formula. (C) To determine To compare: The results obtained in part (A) and part (B).

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134674148

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Question

Chapter 12.5, Problem 1MP

(A)

To determine

To graph: The daily cost function C(x)=−7.5x2+305x+625 for the interval 0≤x≤20 and calculate the change in cost from 5 to 10.

(B)

To determine

To graph: The marginal cost function C′(x) for the interval 0≤x≤20 and find the area between C′(x) and x-axis from 5 to 10 using geometric formula.

(C)

To determine

To compare: The results obtained in part (A) and part (B).

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Chapter 12.4, Problem 78E

Chapter 12.5, Problem 2MP

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Chapter 12 Solutions

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Ch. 12.1 - Matched Problem 1 Note that Find all...Ch. 12.1 - Prob. 2MP Ch. 12.1 - Prob. 3MP Ch. 12.1 - Prob. 4MP Ch. 12.1 - Prob. 5MP Ch. 12.1 - Prob. 6MP Ch. 12.1 - Prob. 1ED Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E

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