The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below. C(x)=3x2−300x+21,000 a. Find the number of bicycles that must be manufactured to minimize the cost. b. Find the minimum cost.

The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below. C(x)=3x2−300x+21,000 a. Find the number of bicycles that must be manufactured to minimize the cost. b. Find the minimum cost.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...

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Question

The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.

C(x)=3x2−300x+21,000

a. Find the number of bicycles that must be manufactured to minimize the cost.

b. Find the minimum cost.

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