A store has requested a manufacturer to produce pants and sports jackets. For materials, the manufacturer has 1,500m of cotton textile and 1,000m of polyester. Every pair of pants (1 unit) needs 2m of cotton and 2m of polyester. Every jacket needs 2m of cotton and 1m of polyester. The price of the pants is fixed at P50 and the jacket, P40.   1. Provide the linear programming model. 2. What is the number of pants and jackets that the manufacturer must give to the stores so that these items obtain a maximum sale? 3. How much is the total maximum sale?

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A store has requested a manufacturer to produce pants and sports jackets.

For materials, the manufacturer has 1,500m of cotton textile and 1,000m of polyester. Every pair of pants (1 unit) needs 2m of cotton and 2m of polyester. Every jacket needs 2m of cotton and 1m of polyester. The price of the pants is fixed at P50 and the jacket, P40.

 

1. Provide the linear programming model.

2. What is the number of pants and jackets that the manufacturer must give to the stores so that these items obtain a maximum sale?

3. How much is the total maximum sale?

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