The cost C (in dollars) of producing x units of a product is C= 1.70x + 9,000. (a) Find the average cost function C. C = (b) Find C when x = 1,000 and when x = 10,000. C(1,000) = $ C(10,000) = $ per unit per unit (c) Determine the limit of the average cost function as x approaches infinity. lim C(x) = X-00 = Interpret the limit in the context of the problem. As more and more units are produced, the average cost per unit (in dollars) will approach $

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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The cost C (in dollars) of producing x units of a product is
C= 1.70x + 9,000.
(a) Find the average cost function C.
C =
(b) Find C when x = 1,000 and when x = 10,000.
C(1,000) = $
C(10,000)
= $
per unit
per unit
(c) Determine the limit of the average cost function as x approaches infinity.
lim C(x) =
X-00
=
Interpret the limit in the context of the problem.
As more and more units are produced, the average cost per unit (in dollars) will approach $
Transcribed Image Text:The cost C (in dollars) of producing x units of a product is C= 1.70x + 9,000. (a) Find the average cost function C. C = (b) Find C when x = 1,000 and when x = 10,000. C(1,000) = $ C(10,000) = $ per unit per unit (c) Determine the limit of the average cost function as x approaches infinity. lim C(x) = X-00 = Interpret the limit in the context of the problem. As more and more units are produced, the average cost per unit (in dollars) will approach $
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