Assume that it costs a company approximately C(x) = 729,000 + 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? 27000 units What is the resulting average cost of a device? $ 186.999 How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ. $ 677.001

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Assume that it costs a company approximately
C(x) =
729,000 + 160x + 0.001x²
%D
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?
27000
units
What is the resulting average cost of a device?
$ 186.999
How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ.
$ 677.001
Transcribed Image Text:Assume that it costs a company approximately C(x) = 729,000 + 160x + 0.001x² %D 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? 27000 units What is the resulting average cost of a device? $ 186.999 How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ. $ 677.001
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