A Garment Company manufactures blue jeans. Three designs are considered: A, B, and C. The manufacture of design A requires 5 minutes machine time, 20 minutes labor and costs P325. Design B requires 8 minutes machine time, 30 minutes labor and costs P350 to produce. Finally, design C, the top of the line requires 10 minutes machine time, 1 labor hour, and costs P425 to produce. Brand A sells for P650, brand B for P750, and brand C for P875. The company works on a weekly schedule of five days, with two shifts of 7.5 hours (net time) each. It has six machines available for production and 36 workers on each shift. Its weekly manufacturing budget is P1,750,000. Based on previous demand, they can sell at least 500 units of design B and minimum of 200 units of brand C. Formulate the complete LP model.

A Garment Company manufactures blue jeans. Three designs are considered: A, B, and C. The manufacture of design A requires 5 minutes machine time, 20 minutes labor and costs P325. Design B requires 8 minutes machine time, 30 minutes labor and costs P350 to produce. Finally, design C, the top of the line requires 10 minutes machine time, 1 labor hour, and costs P425 to produce. Brand A sells for P650, brand B for P750, and brand C for P875. The company works on a weekly schedule of five days, with two shifts of 7.5 hours (net time) each. It has six machines available for production and 36 workers on each shift. Its weekly manufacturing budget is P1,750,000. Based on previous demand, they can sell at least 500 units of design B and minimum of 200 units of brand C. Formulate the complete LP model.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 55P

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