A company manufactures mountain bikes. The research department produced the marginal cost function C′(x)=300−x3, 0≤x≤900, where C′(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 450 bikes per month to 720 bikes per month. Set up a definite integral and evaluate it.

A company manufactures mountain bikes. The research department produced the marginal cost function C′(x)=300−x3, 0≤x≤900, where C′(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 450 bikes per month to 720 bikes per month. Set up a definite integral and evaluate it.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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Part 1

The increase in cost is

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With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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