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Solve each of these problems by computer and obtain the optimal values of the decision variables and the objective function. Maximize Z = 4x1 + 2x2 + 5x3 Subject to 1x1 + 2x2 + 1x3 ≤ 25 1x1 + 4x2 + 2x3 ≤ 40 3x1 + 3x2 + 1x3 ≤ 30 x1, x2, x3 ≥ 0 Maximize Z = 10x1 + 6x2 + 3x3 Subject to 1x1 + 1x2 + 2x3 ≤ 25 2x1 + 1x2 + 4x3 ≤ 40 1x1 + 2x2 + 3x3 ≤ 40 x1, x2, x3 ≥ 0

Solve each of these problems by computer and obtain the optimal values of the decision variables and the objective function. Maximize Z = 4x1 + 2x2 + 5x3 Subject to 1x1 + 2x2 + 1x3 ≤ 25 1x1 + 4x2 + 2x3 ≤ 40 3x1 + 3x2 + 1x3 ≤ 30 x1, x2, x3 ≥ 0 Maximize Z = 10x1 + 6x2 + 3x3 Subject to 1x1 + 1x2 + 2x3 ≤ 25 2x1 + 1x2 + 4x3 ≤ 40 1x1 + 2x2 + 3x3 ≤ 40 x1, x2, x3 ≥ 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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Solve each of these problems by computer and obtain the optimal values of the decision variables and the objective function.

  1. Maximize Z = 4x1 + 2x2 + 5x3

Subject to 1x1 + 2x2 + 1x3 ≤ 25 1x1 + 4x2 + 2x3 ≤ 40 3x1 + 3x2 + 1x3 ≤ 30 x1, x2, x3 ≥ 0

  1. Maximize Z = 10x1 + 6x2 + 3x3

Subject to 1x1 + 1x2 + 2x3 ≤ 25 2x1 + 1x2 + 4x3 ≤ 40 1x1 + 2x2 + 3x3 ≤ 40 x1, x2, x3 ≥ 0

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