x. 1 Consider the following simplex tableau for a minimization problem (the onstraints are of the ≤ type and x3, x4, and x5 are the slacks). N x1 x2 x3 x4 X5 RHS 1 0 a 0 b 0 f 0 1 -2 0 1 0 с 0 0 -3 1 -2 0 d 0 1 e 0003 uppose that a <0, b≤0, and c, d, e≥0. a. Find B-¹ b. Find B. C. Is the tableau optimal? d. Give the original tableau (in terms of the unknowns).

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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Ex. 1 Consider the following simplex tableau for a minimization problem (the
constraints are of the type and x3, x4, and x5 are the slacks).
z X1
x2
x3
x4
X5
RHS
1
0
a
0
b
0
f
0
1
-2
0
1
0
с
0
0
-3
1
-2
0
d
0
0
1
e
003
Suppose that a <0, b≤0, and c, d, e≥ 0.
a.
Find B-¹
b. Find B.
PP
C.
Is the tableau optimal?
d. Give the original tableau (in terms of the unknowns).
Transcribed Image Text:Ex. 1 Consider the following simplex tableau for a minimization problem (the constraints are of the type and x3, x4, and x5 are the slacks). z X1 x2 x3 x4 X5 RHS 1 0 a 0 b 0 f 0 1 -2 0 1 0 с 0 0 -3 1 -2 0 d 0 0 1 e 003 Suppose that a <0, b≤0, and c, d, e≥ 0. a. Find B-¹ b. Find B. PP C. Is the tableau optimal? d. Give the original tableau (in terms of the unknowns).
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