(Question 5) Solved a 3-variable maximisation Linear Program with the objective function of z = 4x₁ + 3x₂ + 7x3. The Linear Program has two "s" 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.
(Question 5) Solved a 3-variable maximisation Linear Program with the objective function of z = 4x₁ + 3x₂ + 7x3. The Linear Program has two "s" 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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INTRODUCTION TO OPERATIONS RESEARCH
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57e75a79-3a35-449c-a815-08653e894118%2Ffe9b44a2-428b-4edb-9caf-5eeb55a63435%2Fwdjgyv_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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.
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