13.46] Consider the following simplex tableau for a constraints are of the
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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![balance? What do
13.46] Consider the following simplex tableau for a minimization problem (the
constraints are of the ≤type and x3, x4, and x5 are the slacks).
6. Find B.
Find B
Z
1
h.
0
0
0
451 TI
X1
0
1
0
0
x2
Suppose that a <0, b ≤0, and c, d, e ≥0.
B-¹
a
-2
-3
0
X3
0
0
1
0
x4
b
1
-2
3
Now, suppose that a > 0, b ≤0; and c, d, e ≥ 0.
f.
Is the new tableau optimal?
X5
0
0
0
RHS
f
C.
Is the tableau optimal?
d. Give the original tableau (in terms of the unknowns).
-1
e.
From the tableau identify cBB and give its interpretation.
C
d
e
Give an extreme direction.
Let a = 5 and f= -10. Give a feasible solution having z = -150.
6-11](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f155504-a287-40a3-8631-1d697c48fddd%2F2785c709-c4dc-4ae4-94af-a2c1ce76ccfb%2Fkyx4y2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:balance? What do
13.46] Consider the following simplex tableau for a minimization problem (the
constraints are of the ≤type and x3, x4, and x5 are the slacks).
6. Find B.
Find B
Z
1
h.
0
0
0
451 TI
X1
0
1
0
0
x2
Suppose that a <0, b ≤0, and c, d, e ≥0.
B-¹
a
-2
-3
0
X3
0
0
1
0
x4
b
1
-2
3
Now, suppose that a > 0, b ≤0; and c, d, e ≥ 0.
f.
Is the new tableau optimal?
X5
0
0
0
RHS
f
C.
Is the tableau optimal?
d. Give the original tableau (in terms of the unknowns).
-1
e.
From the tableau identify cBB and give its interpretation.
C
d
e
Give an extreme direction.
Let a = 5 and f= -10. Give a feasible solution having z = -150.
6-11
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