Assume that it costs a company approximately C(x) = 529,000 + 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 cos units What is the resulting average cost of a device? How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Assume that it costs a company approximately
C(x) = 529,000 + 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?
$
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) = 529,000 + 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? $ How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ.
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