If the monthly total cost of producing 27-inch television sets is given by C(x) = 40,000 + 104x, where x is the number of sets produced per month, then the average cost per unit is given by the following equation. 40,000 + 104x C(X) = (a) Explain how C(x) and another function can be combined to obtain the average cost function. (b) What is the average cost per set if 7000 sets are produced? (a) Choose the correct answer below. O A. C(X) is obtained by dividing C(X) = 40,000 +104x by the identity function, I(x) =x. O B. C(X) is obtained by dividing the identity function I(x) = x by C(x)= 40,000 + 104x. O C. C(X) is obtained by multiplying C(x) = 40,000 +104x by the identity function, I(x) =x. (b) The average cost per set, if 7000 sets are produced, is approximately S. (Do not include the $ symbol in your answer. Type an integer or a decimal rounded to two decimal places as needed.)

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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If the monthly total cost of producing 27-inch television sets is given by C(x) = 40,000 + 104x, where x is the number of sets produced per month, then the average cost per unit is given by the following equation.
40,000 + 104x
C(X) =
(a) Explain how C(x) and another function can be combined to obtain the average cost function.
(b) What is the average cost per set if 7000 sets are produced?
(a) Choose the correct answer below.
O A. C(X) is obtained by dividing C(X) = 40,000+104x by the identity function, I(x) =x.
O B. C(X) is obtained by dividing the identity function I(x) = x by C(x)= 40,000 + 104x.
O C. C(X) is obtained by multiplying C(x) = 40,000 +104x by the identity function, I(x) =x.
(b) The average cost per set, if 7000 sets are produced, is approximately S
(Do not include the $ symbol in your answer. Type an integer or a decimal rounded to two decimal places as needed.)
Transcribed Image Text:If the monthly total cost of producing 27-inch television sets is given by C(x) = 40,000 + 104x, where x is the number of sets produced per month, then the average cost per unit is given by the following equation. 40,000 + 104x C(X) = (a) Explain how C(x) and another function can be combined to obtain the average cost function. (b) What is the average cost per set if 7000 sets are produced? (a) Choose the correct answer below. O A. C(X) is obtained by dividing C(X) = 40,000+104x by the identity function, I(x) =x. O B. C(X) is obtained by dividing the identity function I(x) = x by C(x)= 40,000 + 104x. O C. C(X) is obtained by multiplying C(x) = 40,000 +104x by the identity function, I(x) =x. (b) The average cost per set, if 7000 sets are produced, is approximately S (Do not include the $ symbol in your answer. Type an integer or a decimal rounded to two decimal places as needed.)
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