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. fa. b. C. d. Z X4 N 1 0 X1 b 2 0 X2 C 0 d e X3 0 -14/3 2 f X4 0 0 0 1 x5 h 1 5/2 2 X6 g 1 0 0 RHS -12 a 0 Find the values of the unknowns a through h in the tableau. Find B-¹ Find ax2/0x₁, az/axs, x6/abz. Without explicitly finding the basic vectors a6, a2, a4, give the rep- resentation of the vector as in terms of these basic vectors.
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. fa. b. C. d. Z X4 N 1 0 X1 b 2 0 X2 C 0 d e X3 0 -14/3 2 f X4 0 0 0 1 x5 h 1 5/2 2 X6 g 1 0 0 RHS -12 a 0 Find the values of the unknowns a through h in the tableau. Find B-¹ Find ax2/0x₁, az/axs, x6/abz. Without explicitly finding the basic vectors a6, a2, a4, give the rep- resentation of the vector as in terms of these basic vectors.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![13.47] 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.
/a.
b.
C.
d.
N
x6
x2
ХА
Z
1
0
0
0
X1
b
2
3
0
x2
C
0
d
e
x3
0
-14/3
2
f
X4
0
0
0
1
X5
h
1
5/2
2
x6
g
1
0
0
RHS
-12
a
5
0
Find the values of the unknowns a through h in the tableau.
Find B-1
Find ax/0x₁, dz/dx5, 0x6/dbz.
Without explicitly finding the basic vectors a6, a2, a4, give the rep-
resentation of the vector as in terms of these basic vectors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8ed6c7f-215e-4260-825a-3e13ee4b9d48%2F03f01c8d-c53b-49fe-b496-802cd32f4721%2Fx6g54oc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:13.47] 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.
/a.
b.
C.
d.
N
x6
x2
ХА
Z
1
0
0
0
X1
b
2
3
0
x2
C
0
d
e
x3
0
-14/3
2
f
X4
0
0
0
1
X5
h
1
5/2
2
x6
g
1
0
0
RHS
-12
a
5
0
Find the values of the unknowns a through h in the tableau.
Find B-1
Find ax/0x₁, dz/dx5, 0x6/dbz.
Without explicitly finding the basic vectors a6, a2, a4, give the rep-
resentation of the vector as in terms of these basic vectors.
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