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A store is manufacturing blue carpets and red carpets. For materials, the manufacturer has 120 m of cloth. Total labor hours cannot exceed 60 hrs. A unit of blue carpet needs 2m of cloth and 2 hrs of labor. Every red carpet needs 3 m of cloth and 1 hr of labor. The price of the blue carpet is P6 and the red carpet, P4.    1. Provide the linear programming model. 2. What is the number of carpets to be manufactured to obtain a maximum sale? 3. How much is the total maximum sale?

A store is manufacturing blue carpets and red carpets. For materials, the manufacturer has 120 m of cloth. Total labor hours cannot exceed 60 hrs. A unit of blue carpet needs 2m of cloth and 2 hrs of labor. Every red carpet needs 3 m of cloth and 1 hr of labor. The price of the blue carpet is P6 and the red carpet, P4.    1. Provide the linear programming model. 2. What is the number of carpets to be manufactured to obtain a maximum sale? 3. How much is the total maximum sale?

Practical Management Science
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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A store is manufacturing blue carpets and red carpets.

For materials, the manufacturer has 120 m of cloth. Total labor hours cannot exceed 60 hrs. A unit of blue carpet needs 2m of cloth and 2 hrs of labor. Every red carpet needs 3 m of cloth and 1 hr of labor. The price of the blue carpet is P6 and the red carpet, P4. 

 

1. Provide the linear programming model.

2. What is the number of carpets to be manufactured to obtain a maximum sale?

3. How much is the total maximum sale?

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