Cost, Revenue, and Profit A roofing contractor purchases a shingle delivery truck with a shingle elevator for $ 42 , 000. The vehicle requires an average expenditure of $ 9.50 per hour for fuel and maintenance, and the operator is paid $ 11.50 per hour. (a) Write a linear equation giving the total cost C of operating this equipment for t hours. (Include the purchase cost of the equipment.) (b) Assuming that customers are charged $ 45 per hour of machine use, write an equation for the revenue R obtained from t hours of use. (c) Use the formula for profit P = R − C to write an equation for the profit obtained from t hours of use. (d) Use the result of part (c) to find the break-even point-that is, the number of hours this equipment must be used to yield a profit of 0 dollars.
Cost, Revenue, and Profit A roofing contractor purchases a shingle delivery truck with a shingle elevator for $ 42 , 000. The vehicle requires an average expenditure of $ 9.50 per hour for fuel and maintenance, and the operator is paid $ 11.50 per hour. (a) Write a linear equation giving the total cost C of operating this equipment for t hours. (Include the purchase cost of the equipment.) (b) Assuming that customers are charged $ 45 per hour of machine use, write an equation for the revenue R obtained from t hours of use. (c) Use the formula for profit P = R − C to write an equation for the profit obtained from t hours of use. (d) Use the result of part (c) to find the break-even point-that is, the number of hours this equipment must be used to yield a profit of 0 dollars.
Cost, Revenue, and Profit A roofing contractor purchases a shingle delivery truck with a shingle elevator for
$
42
,
000.
The vehicle requires an average expenditure of
$
9.50
per hour for fuel and maintenance, and the operator is paid
$
11.50
per hour.
(a) Write a linear equation giving the total cost
C
of operating this equipment for
t
hours. (Include the purchase cost of the equipment.)
(b) Assuming that customers are charged
$
45
per hour of machine use, write an equation for the revenue
R
obtained from
t
hours of use.
(c) Use the formula for profit
P
=
R
−
C
to write an equation for the profit obtained from t hours of use.
(d) Use the result of part (c) to find the break-even point-that is, the number of hours this equipment must be used to yield a profit of
0
dollars.
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY