Some students want to start a business that cleans and polishes cars. It takes 2.5 hours of labor and costs $1.5 in supplies to clean a car. It takes 1.5 hours of labor and costs $3 in supplies to polish a car. The students can work a total of 150 hours in one week. They also decide that they want to spend no more than $120 per week on supplies. The students expect to make a profit of $6.75 for each car that they clean and a profit of $9.50 for each car that they polish.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Some students want to start a business that cleans and polishes cars. It takes 2.5 hours of labor and costs $1.5 in supplies to clean a car. It takes 1.5 hours of labor and costs $3 in supplies to polish a car. The students can work a total of 150 hours in one week. They also decide that they want to spend no more than $120 per week on supplies. The students expect to make a profit of $6.75 for each car that they clean and a profit of $9.50 for each car that they polish.
How many cars need to be cleaned and
polished to guarantee the highest possible
profit? *
Clean 0 cars and polish 40 cars
Clean 60 cars and polish 0 cars
Clean 0 cars and polish 60 cars
Clean 60 cars and polish 40 cars
Transcribed Image Text:How many cars need to be cleaned and polished to guarantee the highest possible profit? * Clean 0 cars and polish 40 cars Clean 60 cars and polish 0 cars Clean 0 cars and polish 60 cars Clean 60 cars and polish 40 cars
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