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3.4-14. The Metalco Company desires to blend a new alloy of 40 percent tin, 35 percent zinc, and 25 percent lead from several avail- able alloys having the following properties: Alloy Property 1 2 3 4 5 Percentage of tin Percentage of zinc Percentage of lead 60 25 45 20 50 10 15 45 50 40 30 60 10 30 10 Cost ($/lb) 22 20 25 24 27

3.4-14. The Metalco Company desires to blend a new alloy of 40 percent tin, 35 percent zinc, and 25 percent lead from several avail- able alloys having the following properties: Alloy Property 1 2 3 4 5 Percentage of tin Percentage of zinc Percentage of lead 60 25 45 20 50 10 15 45 50 40 30 60 10 30 10 Cost ($/lb) 22 20 25 24 27

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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3.4-14. The Metalco Company desires to blend a new alloy of 40 percent tin, 35 percent zinc, and 25 percent lead from several avail- able alloys having the following properties: Alloy Property 1 2 4 5 Percentage of tin Percentage of zinc Percentage of lead 60 25 45 20 50 10 15 45 50 40 30 60 10 30 10 Cost (S/lb) 22 20 25 24 27 The objective is to determine the proportions of these alloys that should be blended to produce the new alloy at a minimum cost. (a) Formulate a linear programming model for this problem. c (b) Solve this model by the simplex method. 3.
Transcribed Image Text:3.4-14. The Metalco Company desires to blend a new alloy of 40 percent tin, 35 percent zinc, and 25 percent lead from several avail- able alloys having the following properties: Alloy Property 1 2 4 5 Percentage of tin Percentage of zinc Percentage of lead 60 25 45 20 50 10 15 45 50 40 30 60 10 30 10 Cost (S/lb) 22 20 25 24 27 The objective is to determine the proportions of these alloys that should be blended to produce the new alloy at a minimum cost. (a) Formulate a linear programming model for this problem. c (b) Solve this model by the simplex method. 3.
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