Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
6.1-3. For each of the following linear programming models, give your recommendation on which is the more efficient way (probably) to obtain an optimal solution: by applying the simplex method directly to this primal problem or by applying the simplex method directly to the dual problem instead. Explain. (a) Maximize Z= 10 x₁-4x₂ + 7 x3, subject to 3x₁ = x₂ + 2x3 ≤ 25 x₁2x₂ + 3x3 ≤ 25 5x₁ + x₂+2x3 ≤ 40 x₂ + x₂ + 2x₁x₂ + and x3 ≤ 90 x3 ≤ 20 x₁ ≥ 0, x₂ ≥ 0, (b) Maximize x3 ≥ 0. Z= 2x₁ + 5x₂ + 3x3 +4x₂+x59 subject to x₁ + 3x₂ + 2x3 + 3x4 + x5 ≤ 6 4x₁ + 6x₂ + 5x3+7x₁+x5≤ 15 and xj ≥ 0, for j= 1, 2, 3, 4, 5.

6.1-3. For each of the following linear programming models, give your recommendation on which is the more efficient way (probably) to obtain an optimal solution: by applying the simplex method directly to this primal problem or by applying the simplex method directly to the dual problem instead. Explain. (a) Maximize Z= 10 x₁-4x₂ + 7 x3, subject to 3x₁ = x₂ + 2x3 ≤ 25 x₁2x₂ + 3x3 ≤ 25 5x₁ + x₂+2x3 ≤ 40 x₂ + x₂ + 2x₁x₂ + and x3 ≤ 90 x3 ≤ 20 x₁ ≥ 0, x₂ ≥ 0, (b) Maximize x3 ≥ 0. Z= 2x₁ + 5x₂ + 3x3 +4x₂+x59 subject to x₁ + 3x₂ + 2x3 + 3x4 + x5 ≤ 6 4x₁ + 6x₂ + 5x3+7x₁+x5≤ 15 and xj ≥ 0, for j= 1, 2, 3, 4, 5.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
6.1-3. For each of the following linear programming models, give your recommendation on which is the more efficient way (probably) to obtain an optimal solution: by applying the simplex method directly to this primal problem or by applying the simplex method directly to the dual problem instead. Explain. (a) Maximize Z=10x₁ - 4x₂ + 7 x3, subject to 3x₁x₂ + 2x3 ≤ 25 x₁ - 2x₂ + 3x3 ≤ 25 5x₁ + x₂ + 2x3 ≤ 40 x₁ + 2x₁ - x₂ + x₂ + and x3 ≤ 90 x3 ≤ 20 x₁ ≥ 0, x₂ ≥ 0, (b) Maximize xj ≥ 0, X3 ≥ 0. Z= 2x₁ +5x₂ + 3x3+4x₂+x5² subject to x₁ + 3x₂ + 2x3 + 3x4+x5≤ 6 4x₁ + 6x₂ + 5x3+7x4+x5 ≤ 15 and for j = 1, 2, 3, 4, 5.
Transcribed Image Text:6.1-3. For each of the following linear programming models, give your recommendation on which is the more efficient way (probably) to obtain an optimal solution: by applying the simplex method directly to this primal problem or by applying the simplex method directly to the dual problem instead. Explain. (a) Maximize Z=10x₁ - 4x₂ + 7 x3, subject to 3x₁x₂ + 2x3 ≤ 25 x₁ - 2x₂ + 3x3 ≤ 25 5x₁ + x₂ + 2x3 ≤ 40 x₁ + 2x₁ - x₂ + x₂ + and x3 ≤ 90 x3 ≤ 20 x₁ ≥ 0, x₂ ≥ 0, (b) Maximize xj ≥ 0, X3 ≥ 0. Z= 2x₁ +5x₂ + 3x3+4x₂+x5² subject to x₁ + 3x₂ + 2x3 + 3x4+x5≤ 6 4x₁ + 6x₂ + 5x3+7x4+x5 ≤ 15 and for j = 1, 2, 3, 4, 5.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS