Nike manufactures three types of shoes on two different production lines. Each line can be utilized by up to seven workers at a time. Workers are paid $550 per week on production line 1, and $800 per week on production line 2. A week of production costs $1,000 to set up production line 1, and $2,200 to set up production line 2. During a week on a production line, each worker produces the number of units of shoes shown in the table below. Each week, at least 120 units of type 1 shoes, at least 150 units of type 2 shoes, and at least 200 units of type 3 shoes much be produced. Formulate an IP to minimize the total cost of meeting weekly demands. Shoes Production Line 1 2 1 20 30 40 2 50 35 45

Nike manufactures three types of shoes on two different production lines. Each line can be utilized by up to seven workers at a time. Workers are paid $550 per week on production line 1, and $800 per week on production line 2. A week of production costs $1,000 to set up production line 1, and $2,200 to set up production line 2. During a week on a production line, each worker produces the number of units of shoes shown in the table below. Each week, at least 120 units of type 1 shoes, at least 150 units of type 2 shoes, and at least 200 units of type 3 shoes much be produced. Formulate an IP to minimize the total cost of meeting weekly demands. Shoes Production Line 1 2 1 20 30 40 2 50 35 45

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 51P

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