A cleaning company charges $100 for each office it cleans. The fixed monthly cost of $480 for the company includes telephone service and the depreciation on cleaning equipment and a van. The variable cost is $60 per office and includes labor, gasoline, and cleaning supplies. (a) Write a linear cost function representing the cost C (x) (in $) to clean x offices per month. (b) Write a linear revenue function representing the revenue R (x) (in $) for cleaning x offices per month. (c) Determine the number of offices to be cleaned per month for the company to break even. (d) If 10 offices are cleaned, will the company make money or lose money?
A cleaning company charges $100 for each office it cleans. The fixed monthly cost of $480 for the company includes telephone service and the depreciation on cleaning equipment and a van. The variable cost is $60 per office and includes labor, gasoline, and cleaning supplies. (a) Write a linear cost function representing the cost C (x) (in $) to clean x offices per month. (b) Write a linear revenue function representing the revenue R (x) (in $) for cleaning x offices per month. (c) Determine the number of offices to be cleaned per month for the company to break even. (d) If 10 offices are cleaned, will the company make money or lose money?
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
Section2.5: Linear Functions And Models
Problem 50E: Manufacturing Cost The manager of a furniture factory finds that it costs 2200 to produce 100 chairs...
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Transcribed Image Text:A cleaning company charges $100 for each office it cleans. The fixed monthly cost of $480 for the company includes telephone service and the depreciation on
cleaning equipment and a van. The variable cost is $60 per office and includes labor, gasoline, and cleaning supplies.
(a) Write a linear cost function representing the cost C (x) (in $) to clean x offices per month.
(b) Write a linear revenue function representing the revenue R (x) (in $) for cleaning x offices per month.
(c) Determine the number of offices to be cleaned per month for the company to break even.
(d) If 10 offices are cleaned, will the company make money or lose money?
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