Solve this LP max z=3x+2x2 +2.5x3 8.t. 1+2+2x3 ≤4 201 +23 <6 1, 2, 30 has optimal tableau Z 21 22 23 81 82 rhs 1 0 0 C3 C 1/2 0 0 1 ā13 1 -1/2 51 5. או 0 1 0 ودة 0 1/2 52 = and Cgy -[00] -188)--1881- So B = and and using B-1 and B-1 cay formulas the missing values in optimal tableau are C = 0; 2 = 0; ā13 შევ 5₁ = 0; 52 = and the optimal solution for zisz: Now find the maximum amount A = that the optimal BV remains optimal. that the value of C3 can be increased so

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.
x1 + x2 + 2x3
201
+203
1, 2, 3 > 0
has optimal tableau
So B=
<4
<6
=
Z 21 X2
1 0 0
0
0
0
1
T3
C3
1 ā13
0
ā23
82
₂ 1/2
1
0
ā 13
ā23
5₁ ; 5₂ = [
and the optimal solution for zis z =
Now find the maximum amount A
that the optimal BV remains optimal.
81
-188--18:3
and
=
and using B-¹ and Bcy formulas the missing values in optimal tableau are
€3=0; €₂=0;
rhs
IN L
-1/2 by
1/2
ba
and cgy
-[00]
that the value of c3 can be increased so
Transcribed Image Text:Solve this LP max z = 3x1 + 2x2 +2.5x3 8.t. x1 + x2 + 2x3 201 +203 1, 2, 3 > 0 has optimal tableau So B= <4 <6 = Z 21 X2 1 0 0 0 0 0 1 T3 C3 1 ā13 0 ā23 82 ₂ 1/2 1 0 ā 13 ā23 5₁ ; 5₂ = [ and the optimal solution for zis z = Now find the maximum amount A that the optimal BV remains optimal. 81 -188--18:3 and = and using B-¹ and Bcy formulas the missing values in optimal tableau are €3=0; €₂=0; rhs IN L -1/2 by 1/2 ba and cgy -[00] that the value of c3 can be increased so
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