2. a) Mathematical model and 1. simplex table of a LP problem is given below. Specify the special case in this problem and explain its reason. Z max = 3x, + 2x2 Cj 3 2 -M Constraints: X2 A1 RHS V1 X + 2x, <6 3 X1 1 2 1 x 27 Aj -M -2 -1 -1 1 1 x, 2 0, x, 2 0 Zj 3 6+2M 3+M M -М 18-M C-Z 0 -4-2M -3-M -M b) Mathematical model and 2. simplex table of a LP problem is given below. Specify the special case in this problem and explain its reason. Z max = x1 + 2x2 Cj 1 -M X1 X2 V1 A1 S1 RHS Constraints: X2 1 1 4 X +x, 21 V1 -1 1 -1 1 3 x2 34 2 8 Zj 1 X 2 0, x2 20 Cj-Zj -M -2
2. a) Mathematical model and 1. simplex table of a LP problem is given below. Specify the special case in this problem and explain its reason. Z max = 3x, + 2x2 Cj 3 2 -M Constraints: X2 A1 RHS V1 X + 2x, <6 3 X1 1 2 1 x 27 Aj -M -2 -1 -1 1 1 x, 2 0, x, 2 0 Zj 3 6+2M 3+M M -М 18-M C-Z 0 -4-2M -3-M -M b) Mathematical model and 2. simplex table of a LP problem is given below. Specify the special case in this problem and explain its reason. Z max = x1 + 2x2 Cj 1 -M X1 X2 V1 A1 S1 RHS Constraints: X2 1 1 4 X +x, 21 V1 -1 1 -1 1 3 x2 34 2 8 Zj 1 X 2 0, x2 20 Cj-Zj -M -2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 41E
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Transcribed Image Text:2. a) Mathematical model and 1. simplex table of a LP problem is given below. Specify the special case in this
problem and explain its reason.
Z max = 3x, + 2x2
Cj
3
-M
Constraints:
S1
A1
RHS
X1
X2
V1
X¡ +2x, <6
Xj 2 7
저20, x2 20
X1
3
1
2
1
Aj -M
-2
-1
-1
1
1
Zj
3
6+2M 3+M
M
-M
18-M
C;-Zj
0 -4-2M -3-M
-M
b) Mathematical model and 2. simplex table of a LP problem is given below. Specify the special case in this
problem and explain its reason.
Cj
1
-M
Z max = x +2x2
Constraints:
X1
X2
V1
A1
RHS
X2
2
1
1
4
X1 +x, 21
Vị
-1
1
-1
1
3
x2 <4
2
2
8.
Zj
1
저20, x, 20
Cj-Zj
-M
-2
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