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1. Four products are processed sequentially in a manufacturing facility on three machines. The following table gives the pertinent data of the problem Manufacturing time (hr) per unit Machine Cost per hr ($) | Product 1 | Product 2 | Product 3 | Product 4 | Capacity (hr) 1 10 2 3 4 600 3 2 1 400 3 4 7 3 1 300 Selling $/unit 75 70 55 45 (a) Formulate an LP problem for maximizing the profit. (b) Solve the problem using the Simplex method. (c) What are the shadow prices for each machine and their ranges? (d) What are the reduced costs for each product?

1. Four products are processed sequentially in a manufacturing facility on three machines. The following table gives the pertinent data of the problem Manufacturing time (hr) per unit Machine Cost per hr ($) | Product 1 | Product 2 | Product 3 | Product 4 | Capacity (hr) 1 10 2 3 4 600 3 2 1 400 3 4 7 3 1 300 Selling $/unit 75 70 55 45 (a) Formulate an LP problem for maximizing the profit. (b) Solve the problem using the Simplex method. (c) What are the shadow prices for each machine and their ranges? (d) What are the reduced costs for each product?

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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1. Four products are processed sequentially in a manufacturing facility on three machines. The following table gives the pertinent data of the problem Manufacturing time (hr) per unit Machine Cost hr ($) | Product 1 Product 2 Product 3 Product 4 | Capacity (hr) per 10 1 2 3 4 2 600 1 400 3 4 7 3 1 300 Selling $/unit 75 70 55 45 (a) Formulate an LP problem for maximizing the profit. (b) Solve the problem using the Simplex method. (c) What are the shadow prices for each machine and their ranges? (d) What are the reduced costs for each product?
Transcribed Image Text:1. Four products are processed sequentially in a manufacturing facility on three machines. The following table gives the pertinent data of the problem Manufacturing time (hr) per unit Machine Cost hr ($) | Product 1 Product 2 Product 3 Product 4 | Capacity (hr) per 10 1 2 3 4 2 600 1 400 3 4 7 3 1 300 Selling $/unit 75 70 55 45 (a) Formulate an LP problem for maximizing the profit. (b) Solve the problem using the Simplex method. (c) What are the shadow prices for each machine and their ranges? (d) What are the reduced costs for each product?
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