A contractor purchases a backhoe for $37, 300 Fuel and standard maintenance cost $5.95 per hour, and the operator is paid $12.03 T a cost function for the cost C(z) of operating the backhoe for z hours. Be sure to include the purchase price in the cost function. nction C(z) = stomers pay $27.77 per hour for the contractor's backhoe service, write the revenue function R(z) for the amount of revenue gained hours of use. nue dollars function: R(z) = dollars I te the profit function P(z) for the amount of profit gained from z hours of use. = function: P(x) = ow many hours must the backhoe be used in order to break even (assume that part of an hour counts as a whole hour)? der for the contractor to break even, customers need to pay to use the backhoe for a total of dollars hours

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A contractor purchases a backhoe for $37, 300. Fuel and standard maintenance cost $5.95 per hour, and the operator is paid $12.03
per hour.
a. Write a cost function for the cost C(z) of operating the backhoe for hours. Be sure to include the purchase price in the cost function.
Cost function: C(z) =
dollars
b. If customers pay $27.77 per hour for the contractor's backhoe service, write the revenue function R(z) for the amount of revenue gained
from a hours of use.
Revenue function: R(x) =
I
c. Write the profit function P(x) for the amount of profit gained from a hours of use.
Profit function: P(x) =
dollars
dollars
d. How many hours must the backhoe be used in order to break even (assume that part of an hour counts as a whole hour)?
In order for the contractor to break even, customers need to pay to use the backhoe for a total of
hours.
Transcribed Image Text:A contractor purchases a backhoe for $37, 300. Fuel and standard maintenance cost $5.95 per hour, and the operator is paid $12.03 per hour. a. Write a cost function for the cost C(z) of operating the backhoe for hours. Be sure to include the purchase price in the cost function. Cost function: C(z) = dollars b. If customers pay $27.77 per hour for the contractor's backhoe service, write the revenue function R(z) for the amount of revenue gained from a hours of use. Revenue function: R(x) = I c. Write the profit function P(x) for the amount of profit gained from a hours of use. Profit function: P(x) = dollars dollars d. How many hours must the backhoe be used in order to break even (assume that part of an hour counts as a whole hour)? In order for the contractor to break even, customers need to pay to use the backhoe for a total of hours.
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