Generate the dual simplex iterations for the following problems (using TORA forconvenience), and trace the path of the algorithm on the graphical solution space.(a) Minimize z = 2x, + 3xzsubject to2x, + 2x2 = 3X1 + 2x, 2 1X1, X2 2 0(b) Minimize z = 5x, + 6x2subject toX1 + x2 2 204x1 + x, 2 40X1, X2 2 0(c) Minimize z = 4x1 + 2x2subject toX1 + x2 = 10Зх, — х, 20X1, X2 2 0D4FIGURE 4.3Solution space for Problem 435

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Description: Generate the dual simplex iterations for the following problems (using TORA forconvenience), and trace the path of the algorithm on the graphical solution space.(a) Minimize z = 2x, + 3xzsubject to2x, + 2x2 = 3X1 + 2x, 2 1X1, X2 2 0(b) Minimize z =

Dual Simplex Method Algorithm: Step1: Convert the problem to maximization if it is in minimization…

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Generate the dual simplex iterations for the following problems (using TORA for convenience), and trace the path of the algorithm on the graphical solution space. (a) Minimize z = 2x¡ + 3x, subject to 2x, + 2x2 s 3 X1 + 2x, 21 X1, X2 2 0

Generate the dual simplex iterations for the following problems (using TORA for convenience), and trace the path of the algorithm on the graphical solution space. (a) Minimize z = 2x¡ + 3x, subject to 2x, + 2x2 s 3 X1 + 2x, 21 X1, X2 2 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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Question

Generate the dual simplex iterations for the following problems (using TORA for
convenience), and trace the path of the algorithm on the graphical solution space.
(a) Minimize z = 2x, + 3xz
subject to
2x, + 2x2 = 3
X1 + 2x, 2 1
X1, X2 2 0
(b) Minimize z = 5x, + 6x2
subject to
X1 + x2 2 20
4x1 + x, 2 40
X1, X2 2 0
(c) Minimize z = 4x1 + 2x2
subject to
X1 + x2 = 10
Зх, — х, 20
X1, X2 2 0
D
4
FIGURE 4.3
Solution space for Problem 435

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