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 x1-2x2+x3 - 4x4 subject to 2x1 + x2 - 2x3 x4 ≥ 1, 5x1 x2 2x1 - x3x4 ≤ -1, 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. 2x1 + x2+3x3 x2-x32, maximize subject to x13x2+2x3 ≥ 3, 2x12x2 x3 = 4, x1, x2, x3 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 x1-2x2+x3 - 4x4 subject to 2x1 + x2 - 2x3 x4 ≥ 1, 5x1 x2 2x1 - x3x4 ≤ -1, 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. 2x1 + x2+3x3 x2-x32, maximize subject to x13x2+2x3 ≥ 3, 2x12x2 x3 = 4, x1, x2, x3 0.
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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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.
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please can you do question 2 aswell. Thank you
Transcribed Image Text: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+3 = 4,
x1, x2, x3 0.
Solution
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