Four cleaning crews are available for a job that requires an area of 5000 square feet to be cleaned. Each cleaning crew charges a fixed cost that is only charged if the company is hired and a variable cost that is dependent on the number of square feet cleaned (see below). The job can be performed either by a single cleaner or by a combination of cleaners.Company A Cost = 0.01x2 + x + 25,000Company B Cost = 0.14x2 - 11x + 20,000Company C Cost = 0.07x2 - 6x + 3000Company D Cost = 0.15x2 -10x +1000Formulate and solve a mathematical programming model that will determine which crews to hire and how much (in square feet) of the job that each should do.What is the solution if, instead of 5000 square feet, we need to clean 10,000 square feet?

Formulation of the mathematical programming model: Let x1, x2, x3, x4 be the number of square feet…

Answered: Four cleaning crews are available for a…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Four cleaning crews are available for a job that requires an area of 5000 square feet to be cleaned. Each cleaning crew charges a fixed cost that is only charged if the company is hired and a variable cost that is dependent on the number of square feet cleaned (see below). The job can be performed either by a single cleaner or by a combination of cleaners.

Company A Cost = 0.01x² + x + 25,000

Company B Cost = 0.14x² - 11x + 20,000

Company C Cost = 0.07x² - 6x + 3000

Company D Cost = 0.15x² -10x +1000

Formulate and solve a mathematical programming model that will determine which crews to hire and how much (in square feet) of the job that each should do.
What is the solution if, instead of 5000 square feet, we need to clean 10,000 square feet?

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