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
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
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 66P
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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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