Introduction to operations research Question (Question 5) Solved a 3-variable maximisation Linear Program with the objective function of z = 4x₁ + 3x₂ + 7x3. The Linear Program has two "<" constraints, and its optimal solution is (x₁, x₂, x3, S₁, S₂ ) = (7, 0, 0, 2, 0), z* = 28. First situation: the objective function changes to maximise z = 4x₁ + 7x₂ + 7x3. Second situation: the objective function changes to maximise: z = 3x₁ + 3x₂ + 7x3. Analyse separately and specifically for each situation, what must be checked if were to determine whether the current basis remains optimal after the change is made. Justify the answers.
Introduction to operations research Question (Question 5) Solved a 3-variable maximisation Linear Program with the objective function of z = 4x₁ + 3x₂ + 7x3. The Linear Program has two "<" constraints, and its optimal solution is (x₁, x₂, x3, S₁, S₂ ) = (7, 0, 0, 2, 0), z* = 28. First situation: the objective function changes to maximise z = 4x₁ + 7x₂ + 7x3. Second situation: the objective function changes to maximise: z = 3x₁ + 3x₂ + 7x3. Analyse separately and specifically for each situation, what must be checked if were to determine whether the current basis remains optimal after the change is made. Justify the answers.
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 33E
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