Answered: Minimize Z = 200x| + 160x2 (cost, $)…

Name: The Copperfield Mining Company owns two mines,which produce three grad
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Description: The Copperfield Mining Company owns two mines,which produce three grades of ore: high, medium, andlow. The company has a contract to supply a smeltingcompany with 12 tons of high-grade ore, 8 tons ofmedium-grade ore, and 24 tons of low-grade ore. Eac

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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The Copperfield Mining Company owns two mines,which produce three grades of ore: high, medium, andlow. The company has a contract to supply a smeltingcompany with 12 tons of high-grade ore, 8 tons ofmedium-grade ore, and 24 tons of low-grade ore. Eachmine produces a certain amount of each type of ore eachhour it is in operation. The company has developed thefollowing linear programming model to determine thenumber of hours to operate each mine (x1 and x2) so thatcontracted obligations can be met at the lowest cost:a. Solve this model graphically.b. Solve the model using Excel.

Minimize Z = 200x| + 160x2 (cost, $)
subject to
6x1 + 2x2 2 12 (high-grade ore, tons)
2x1 + 2x2 2 8 (medium-grade ore, tons)
4x1 + 12x2 2 24 (low-grade ore, tons)
X1, X2 2 ()

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