Assume that it costs a company approximately C(x) = 441,000 + 160x + 0.001x² dollars to manufacture x units of a device in an hour at one of their manufacturing centers. How many devices should be manufactured each hour to minimize average cost? units What is the resulting average cost of a device? 2$ How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ.

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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Assume that it costs a company approximately
C(x) = 441,000 + 160x + 0.001x?
dollars to manufacture x units of a device in an hour at one of their manufacturing centers. How many devices should be
manufactured each hour to minimize average cost?
units
What is the resulting average cost of a device?
24
How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ.
Transcribed Image Text:Assume that it costs a company approximately C(x) = 441,000 + 160x + 0.001x? dollars to manufacture x units of a device in an hour at one of their manufacturing centers. How many devices should be manufactured each hour to minimize average cost? units What is the resulting average cost of a device? 24 How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ.
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