An on-demand printing company has monthly overhead costs of $1200 in rent, $420 in electricity, $100 for phone service, and $200 for advertising and marketing. The printing cost is $40 per thousand pages for paper and ink. a. Write a cost function to represent the cost C(x) for printing x thousand pages for a given month. b. Write a function representing the average cost C(x) for printing x thousand pages for a given month. c. Evaluate C(20), T(50), T(100), and C(200). d. Interpret the meaning of C(200). e. For a given month, if the printing company could print an unlimited number of pages, what value would the average cost per thousand pages approach? What does this mean in the context of the problem?
An on-demand printing company has monthly overhead costs of $1200 in rent, $420 in electricity, $100 for phone service, and $200 for advertising and marketing. The printing cost is $40 per thousand pages for paper and ink. a. Write a cost function to represent the cost C(x) for printing x thousand pages for a given month. b. Write a function representing the average cost C(x) for printing x thousand pages for a given month. c. Evaluate C(20), T(50), T(100), and C(200). d. Interpret the meaning of C(200). e. For a given month, if the printing company could print an unlimited number of pages, what value would the average cost per thousand pages approach? What does this mean in the context of the problem?
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 24CR: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per...
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Transcribed Image Text:An on-demand printing company has monthly overhead costs of $1200 in rent, $420 in electricity, $100 for phone service,
and $200 for advertising and marketing. The printing cost is $40 per thousand pages for paper and ink.
a. Write a cost function to represent the cost C(x) for printing x thousand pages for a given month.
b. Write a function representing the average cost C(x) for printing x thousand pages for a given month.
c. Evaluate C(20), T(50), T(100), and C(200).
d. Interpret the meaning of C(200).
e. For a given month, if the printing company could print an unlimited number of pages, what value would the average
cost per thousand pages approach? What does this mean in the context of the problem?
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