Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
1. Solve the following linear programmne using the 2-phase simplex algorithm. You should give the initial tableau and each further tableau produced during the exe- cution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize x12x2x34x4 subject to 2x1 + x22x3x4 ≥ 1, 5x1 x2 x3x4 - -1, 2x1 + x2 x3 3x4 - 2, x1, x2, x3, x4≥ 0.

1. Solve the following linear programmne using the 2-phase simplex algorithm. You should give the initial tableau and each further tableau produced during the exe- cution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize x12x2x34x4 subject to 2x1 + x22x3x4 ≥ 1, 5x1 x2 x3x4 - -1, 2x1 + x2 x3 3x4 - 2, x1, x2, x3, x4≥ 0.

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
Questions 1 and 2 handwritten in tableau form please, highlighting rows and columns
1. Solve the following linear programmne using the 2-phase simplex algorithm. You should give the initial tableau and each further tableau produced during the exe- cution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize x12x2 x3 - 4x4 - subject to 2x1 + x22x3x4≥ 1, 5x1 + x2 x3 - x4 ≤ -1, 2x1 - x2 x3 - 3x4 2, x1, x2, x3, x4≥ 0. 2. Apply the first phase of the 2-phase simplex algorithm to the following linear pro- gramme giving the initial tableau and each further tableau produced. Give the starting tableau for the second phase if there is one. maximize 2x1 + x2+3x3 subject to x2-x32, x13x2+2x3 ≥ 3, 2x12x2 x3 = 4, x1, x2, x3 0.
Transcribed Image Text:1. Solve the following linear programmne using the 2-phase simplex algorithm. You should give the initial tableau and each further tableau produced during the exe- cution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize x12x2 x3 - 4x4 - subject to 2x1 + x22x3x4≥ 1, 5x1 + x2 x3 - x4 ≤ -1, 2x1 - x2 x3 - 3x4 2, x1, x2, x3, x4≥ 0. 2. Apply the first phase of the 2-phase simplex algorithm to the following linear pro- gramme giving the initial tableau and each further tableau produced. Give the starting tableau for the second phase if there is one. maximize 2x1 + x2+3x3 subject to x2-x32, x13x2+2x3 ≥ 3, 2x12x2 x3 = 4, x1, x2, x3 0.
Expert Solution
steps

Step by step

Solved in 4 steps with 144 images

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