Answered: Some students want to start a business…

Name: Some students want to start a business that cleans and polishes cars.
Uploaded: 2024-03-20T07:07:26.000Z
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Description: 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 ho

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.

The objective function is:
Maximize Z=7.75X1+8.5X2
Maximize Z=6.75 X1+9.5X2
Maximize Z=2.5X1+1.5X2
Maximize Z=9.5 X1+6.75X2

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