Solve this LP max z = 3x₁ + 2x₂ +2.5x3 8.t. 1 + 2 + 2003 201 + 2x3 1, 2, 3 > 0 has optimal tableau So B = and B-1 ≤4 ≤6 n and cay = 100 z 1 0 LO 21 0 0 1 X₂ 3 81 0 čs Can 1 1 0 ā13 ā23 0 32 rhs 1/2 -1/2 1/2 Z ₂ 5₂

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve this LP
max z = 3x1 + 2x2 + 2.5x3
8.t..
has optimal tableau
So B =
1 + x + 2x3
201 + 2x3
1, 2, 3 > 0
13
23
and B-¹
and using B-¹ and B-¹ cay formulas the missing values in optimal tableau are
€3 =■; €8₂ =0;
5₁=;5₂ =
<4
≤6
and cay = [00]
and the optimal solution for z is z =
Now find the maximum amount A =
z 01
1
0
0
0
0
1
2
0
1
0
rhs
23
81
82
C3 čai
1/2
ā13
1
-1/2
ā23 0 1/2 5₂
that the value of c3 can be increased so that the optimal BV remains optimal.
Transcribed Image Text:Solve this LP max z = 3x1 + 2x2 + 2.5x3 8.t.. has optimal tableau So B = 1 + x + 2x3 201 + 2x3 1, 2, 3 > 0 13 23 and B-¹ and using B-¹ and B-¹ cay formulas the missing values in optimal tableau are €3 =■; €8₂ =0; 5₁=;5₂ = <4 ≤6 and cay = [00] and the optimal solution for z is z = Now find the maximum amount A = z 01 1 0 0 0 0 1 2 0 1 0 rhs 23 81 82 C3 čai 1/2 ā13 1 -1/2 ā23 0 1/2 5₂ that the value of c3 can be increased so that the optimal BV remains optimal.
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