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Solve by the Big M – method:   Maximize   Ζ= x1 +   2x2  −3x3  + x4                                                                 Subject to   x1 +2x2 +3x3 =15                     2x1 +x2 +  5x3 = 20                       x1 +2x2 +x3 +x4 = 10                         x1 + 4x2 +6x3 ≤ 5 Where x x x x1, 2, 3, 4 ≥ 0

Solve by the Big M – method:   Maximize   Ζ= x1 +   2x2  −3x3  + x4                                                                 Subject to   x1 +2x2 +3x3 =15                     2x1 +x2 +  5x3 = 20                       x1 +2x2 +x3 +x4 = 10                         x1 + 4x2 +6x3 ≤ 5 Where x x x x1, 2, 3, 4 ≥ 0

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. Solve by the Big M – method:

  Maximize   Ζ= x1 +   2x2  −3x3  + x4                                                                 Subject to   x1 +2x2 +3x3 =15 

                   2x1 +x2 +  5x3 = 20   

                   x1 +2x2 +x3 +x4 = 10     

                   x1 + 4x2 +6x3 ≤ 5

Where x x x x1, 2, 3, 4 ≥ 0                     

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