2. Maximize z = (3/4)x₁ − 20x₂ + (1/2)ײ − 6x4 Subject to: (1/4)x₁ − 8x₂ − x₂ + 9x ≤0 (1/2)x₁ - 12x₂ - (1/2)x₂ + 3x x3 ≤0 X₁ X₂ X3 X 20 Requirements: Using simplex method, show that the solution enters a repetitive sequence of iterations, never improving the objective value and never ≤0 satisfying the optimality condition. Notice that the starting all-slack basic feasible solution at iteration 0 will reappear identically in iteration 6.
2. Maximize z = (3/4)x₁ − 20x₂ + (1/2)ײ − 6x4 Subject to: (1/4)x₁ − 8x₂ − x₂ + 9x ≤0 (1/2)x₁ - 12x₂ - (1/2)x₂ + 3x x3 ≤0 X₁ X₂ X3 X 20 Requirements: Using simplex method, show that the solution enters a repetitive sequence of iterations, never improving the objective value and never ≤0 satisfying the optimality condition. Notice that the starting all-slack basic feasible solution at iteration 0 will reappear identically in iteration 6.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
Transcribed Image Text:2. Maximize z = (3/4)x₁ − 20x₂ + (1/2)ײ − 6x4
Subject to:
(1/4)x₁ − 8x₂ − x₂ + 9x ≤0
(1/2)x₁ - 12x₂ - (1/2)x₂ + 3x
x3 ≤0
X₁ X₂ X3x₁₂20
Requirements: Using simplex method, show that the
solution enters a repetitive sequence of iterations,
never improving the objective value and never
≤0 satisfying the optimality condition. Notice that the
starting all-slack basic feasible solution at iteration 0
will reappear identically in iteration 6.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
