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

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 45P

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