Some students want to start a business that cleans and polishes cars. It takes 1.5 hours of labor and costs $2.25 in supplies to clean a car. It takes 2 hours of labor and costs $1.50 in supplies to polish a car. The students can work a total of 120 hours in one week. They also decide that they want to spend no more than $135 per week on supplies. The students expect to make a profit of $7.75 for each cay that they clean and a profit of $8.50 for each car that they polish. What is the maximum profits the students can make? O $620 $330 $565

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 42PS
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For the following linear programming problem, what is the maximum profit?
Some students want to start a business that cleans and polishes cars. It takes 1.5 hours of labor
and costs $2.25 in supplies to clean a car. It takes 2 hours of labor and costs $1.50 in supplies to
polish a car. The students can work a total of 120 hours in one week. They also decide that they
want to spend no more than $135 per week on supplies. The students expect to make a profit of
$7.75 for each cay that they clean and a profit of $8.50 for each car that they polish. What is the
maximum profits the students can make?
$620
$330
$565
Transcribed Image Text:For the following linear programming problem, what is the maximum profit? Some students want to start a business that cleans and polishes cars. It takes 1.5 hours of labor and costs $2.25 in supplies to clean a car. It takes 2 hours of labor and costs $1.50 in supplies to polish a car. The students can work a total of 120 hours in one week. They also decide that they want to spend no more than $135 per week on supplies. The students expect to make a profit of $7.75 for each cay that they clean and a profit of $8.50 for each car that they polish. What is the maximum profits the students can make? $620 $330 $565
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