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

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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, + 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
Transcribed Image Text: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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