Consider the problem subject to Maximize z = x₁ + 5x₂ + 3x3 x₁ + 2x₂ + x3 = 6 2x₁ - x₂ = 8 X1, X2, X3 ≥ 0 The variable x3 plays the role of a slack. Thus, no artificial variable is needed in the first constraint. In the second constraint, an artificial variable, R, is needed. Solve the problem using Y and R as the starting variables

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Chapter2: Introduction To Spreadsheet Modeling
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*3-41. Consider the problem
subject to
Maximize z = x₁ + 5x₂ + 3x3
x₁ + 2x₂ + x3 = 6
2x₁ - x₂
= 8
X1, X2, X3 ≥ 0
The variable x3 plays the role of a slack. Thus, no artificial variable is needed in the first
constraint. In the second constraint, an artificial variable, R, is needed. Solve the problem
using x3 and R as the starting variables.
Transcribed Image Text:*3-41. Consider the problem subject to Maximize z = x₁ + 5x₂ + 3x3 x₁ + 2x₂ + x3 = 6 2x₁ - x₂ = 8 X1, X2, X3 ≥ 0 The variable x3 plays the role of a slack. Thus, no artificial variable is needed in the first constraint. In the second constraint, an artificial variable, R, is needed. Solve the problem using x3 and R as the starting variables.
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