Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
3 (b) maximize 5x1 +8x2 + x3 + 2x4 subject to minimize subject to 3x1 + 3x2 + 7x3 + 8x4≤ 15, 2x28x3-7x4 ≥ 10, 9x16x22x3+4x4 = 5, X1, X2, X3 ≥ 0, 4 unrestricted 3x1 + 7x3 +9x4 -x1 + 3x2-x3-10x4≤-12, 2x1 +5x2 + 8x3+9x4 ≥ 1, x1 +4x2+8x3 -x4,

3 (b) maximize 5x1 +8x2 + x3 + 2x4 subject to minimize subject to 3x1 + 3x2 + 7x3 + 8x4≤ 15, 2x28x3-7x4 ≥ 10, 9x16x22x3+4x4 = 5, X1, X2, X3 ≥ 0, 4 unrestricted 3x1 + 7x3 +9x4 -x1 + 3x2-x3-10x4≤-12, 2x1 +5x2 + 8x3+9x4 ≥ 1, x1 +4x2+8x3 -x4,

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
1. Give the dual of each of the following linear programs: maximize 5x1 + 8x2 + x3 + 2x4 subject to (b) minimize subject to 3x1 + 3x2 + 7x3 + 8x4 ≤ 15, 2x28x3-7x4 ≥ 10, 9x16x22x3+4x4 = 5, X1, X2, X3 ≥ 0, 4 unrestricted 3x1 + 7x3 + 9x4 -x1 + 3x2x3 - 10x4≤-12, 2x1 +5x2 + 8x3 +9x4 ≥ 1, x1 +4x2+8x3 -x4, X1, X2 ≥ 0, X3 ≤ 0, 4 unrestricted Hint: Remember to first rewrite all the constraints and variables into the correct forms for minimisation!
Transcribed Image Text:1. Give the dual of each of the following linear programs: maximize 5x1 + 8x2 + x3 + 2x4 subject to (b) minimize subject to 3x1 + 3x2 + 7x3 + 8x4 ≤ 15, 2x28x3-7x4 ≥ 10, 9x16x22x3+4x4 = 5, X1, X2, X3 ≥ 0, 4 unrestricted 3x1 + 7x3 + 9x4 -x1 + 3x2x3 - 10x4≤-12, 2x1 +5x2 + 8x3 +9x4 ≥ 1, x1 +4x2+8x3 -x4, X1, X2 ≥ 0, X3 ≤ 0, 4 unrestricted Hint: Remember to first rewrite all the constraints and variables into the correct forms for minimisation!
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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