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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 22PPS
icon
Related questions
Topic Video
Question
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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning