Consider the following LPP: Min Z 3 3X, + Х+ Xз Such that: X — 2X + Xз <11, -4X; + X, + 2X3 2 3 which has the following optimum solution: Basic X X2 X3 X4 X5 R R2 Solution Z-5 -1 1-M -1 -M X4 3 1 -2 2 -5 12 X2 1 -1 1 -2 1 X3 -2 1 1 Then, the dual optimal solution (y1, 42, Y3, w) = Select one: (0,1,-1,2) (-1,1,-1,2) (0,0,1,1) (0,1,0,2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following LPP:
Min Z = 3X1 + X2 + X3
Such that:
X1 – 2X2 + X3 < 11, –4X1 + X2 +2X3 > 3
which has the following optimum solution:
Basic| X, Xz Х Ха Хъ
R
R2
Solution
Z-5
-1 1- M -1-M
X4
3
1
-2
-5
12
X2
1
-1
-2
1
X3-2
10 0
1
Then, the dual optimal solution (yı, Y2, Y3, w)
%3D
Select one:
(0,1,-1,2)
(-1,1,-1,2)
(0,0,1,1)
(0,1,0,2)
Transcribed Image Text:Consider the following LPP: Min Z = 3X1 + X2 + X3 Such that: X1 – 2X2 + X3 < 11, –4X1 + X2 +2X3 > 3 which has the following optimum solution: Basic| X, Xz Х Ха Хъ R R2 Solution Z-5 -1 1- M -1-M X4 3 1 -2 -5 12 X2 1 -1 -2 1 X3-2 10 0 1 Then, the dual optimal solution (yı, Y2, Y3, w) %3D Select one: (0,1,-1,2) (-1,1,-1,2) (0,0,1,1) (0,1,0,2)
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