[3.47] The following is the current simplex tableau of a linear programming problem. The objective is to minimize -2x4 - x5 - 2x6, and x₁, x2, and x3 are the slack variables. N x6 x2 X4 Z 1 0 0 0 X1 b 230 X2 C 0 d e x3 0 -14/3 2 f X4 X5 x6 17 0 0 0 5/2 1 2 h 2081 g 0 0 RHS -12 a 5 0 a. Find the values of the unknowns a through h in the tableau. b. Find B-¹ C. Find ax₂/0x1, Oz/ əx5, Əx6/abz. d. Without explicitly finding the basic vectors a6, a2, a4, give the rep- resentation of the vector as in terms of these basic vectors. 13 SI SC 13 a
[3.47] The following is the current simplex tableau of a linear programming problem. The objective is to minimize -2x4 - x5 - 2x6, and x₁, x2, and x3 are the slack variables. N x6 x2 X4 Z 1 0 0 0 X1 b 230 X2 C 0 d e x3 0 -14/3 2 f X4 X5 x6 17 0 0 0 5/2 1 2 h 2081 g 0 0 RHS -12 a 5 0 a. Find the values of the unknowns a through h in the tableau. b. Find B-¹ C. Find ax₂/0x1, Oz/ əx5, Əx6/abz. d. Without explicitly finding the basic vectors a6, a2, a4, give the rep- resentation of the vector as in terms of these basic vectors. 13 SI SC 13 a
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 44PS
Related questions
Question
![[3.47] The following is the current simplex tableau of a linear programming
problem. The objective is to minimize -2x4 x5 - 2x6, and x₁, x2, and x3 are
the slack variables.
N
x6
X2
X4
N
1
0
0
0
X1
b
2
3
0
x2
C
0
d
e
X3
0
-14/3
2
f
X4
X5
0
0
0 5/2
1
2
h
1
x6 RHS
g
-12
1
0
0
a
0
a.
Find the values of the unknowns a through h in the tableau.
b. Find B-¹.
C. Find ax₂/0x₁, Oz/ əx5, Əx6/b₂.
d. Without explicitly finding the basic vectors a6, a2, a4, give the rep-
resentation of the vector as in terms of these basic vectors.
[3
SI
SC
12
a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb57a0a40-2e34-4415-a241-43cddfe1eba7%2F80b70de0-6dba-4239-9814-e398e9b11ef9%2F6wqsofl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[3.47] The following is the current simplex tableau of a linear programming
problem. The objective is to minimize -2x4 x5 - 2x6, and x₁, x2, and x3 are
the slack variables.
N
x6
X2
X4
N
1
0
0
0
X1
b
2
3
0
x2
C
0
d
e
X3
0
-14/3
2
f
X4
X5
0
0
0 5/2
1
2
h
1
x6 RHS
g
-12
1
0
0
a
0
a.
Find the values of the unknowns a through h in the tableau.
b. Find B-¹.
C. Find ax₂/0x₁, Oz/ əx5, Əx6/b₂.
d. Without explicitly finding the basic vectors a6, a2, a4, give the rep-
resentation of the vector as in terms of these basic vectors.
[3
SI
SC
12
a
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