A lawn service company charges $60 for each lawn maintenance call. The fixed monthly cost of $680 includes telephone service and depreciation of equipment. The variable costs include labor, gasoline, and taxes and amount to $36 per lawn. a. Write a linear cost function representing the monthly cost C x for x maintenance calls. b. Write a linear revenue function representing the monthly revenue R x for x maintenance calls. c. Write a linear profit function representing the monthly profit P x for x maintenance calls. d. Determine the number of lawn maintenance calls needed per month for the company to make money. e. If 42 maintenance calls are made for a given month, how much money will the lawn service make or lose?
A lawn service company charges $60 for each lawn maintenance call. The fixed monthly cost of $680 includes telephone service and depreciation of equipment. The variable costs include labor, gasoline, and taxes and amount to $36 per lawn. a. Write a linear cost function representing the monthly cost C x for x maintenance calls. b. Write a linear revenue function representing the monthly revenue R x for x maintenance calls. c. Write a linear profit function representing the monthly profit P x for x maintenance calls. d. Determine the number of lawn maintenance calls needed per month for the company to make money. e. If 42 maintenance calls are made for a given month, how much money will the lawn service make or lose?
A lawn service company charges
$60
for each lawn maintenance call. The fixed monthly cost of
$680
includes telephone service and depreciation of equipment. The variable costs include labor, gasoline, and taxes and amount to
$36
per lawn.
a. Write a linear cost function representing the monthly cost
C
x
for
x
maintenance calls.
b. Write a linear revenue function representing the monthly revenue
R
x
for
x
maintenance calls.
c. Write a linear profit function representing the monthly profit
P
x
for
x
maintenance calls.
d. Determine the number of lawn maintenance calls needed per month for the company to make money.
e. If 42 maintenance calls are made for a given month, how much money will the lawn service make or lose?
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