The cost C (in dollars) of producing x units of a product is C = 1.60x + 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) = $ per unit C(10,000) = $ per unit (c) Determine the limit of the average cost function as x approaches infinity. lim C(x) = 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 $

The cost C (in dollars) of producing x units of a product is C = 1.60x + 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) = $ per unit C(10,000) = $ per unit (c) Determine the limit of the average cost function as x approaches infinity. lim C(x) = 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

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 2E

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Question

100%

The cost C (in dollars) of producing x units of a product is

C = 1.60x + 9,000.

(a)

Find the average cost function

C =

(b)

Find

when

x = 1,000

and when

x = 10,000.

C(1,000)

per unit

C(10,000)

per unit

(c)

Determine the limit of the average cost function as x approaches infinity.

lim x→∞ C(x) =

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 $

The cost C (in dollars) of producing x units of a product is
C = 1.60x + 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)
= $
per unit
C(10,000) = $
per unit
(c) Determine the limit of the average cost function as x approaches infinity.
lim C(x) =
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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