(a) What is the reduced cost for ₁ (b) What are the matrices B, B-¹ and the vector CBV? (c) What are the optimal primal and dual solutions? x1 X2 and [9₁, 92, 93, 94] = x3 -

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
An LP is a standard max and has the tableau (A) as its initial and optimal
tableau (B) (both have missing entries).
Answer all the questions following.
(B)
(A)
2
1
0
x1
1-60
0
0
8
12
x1
50
a
0-13.5
7
-1
0
0
0 4
0
3
X2
X3
-30 -20 0
1
6
1
4.5 0
1 0
1
0
6
3
4
$1 82 83 €4
0 0 0 M
I2 I3 $1 $2
0
0 0
0
0 0 1
a rhs
0
0 0 0 0 48
10 0 0
01 0 0
60
00
e 1
(a) What is the reduced cost for ₁
$3 e4
50
30
2
3
-7.5
3
4
-1 -1
0
0 0 0 1 -12
0 1 0
0
1000
(c) What are the optimal primal and dual solutions?
x1
X2
and [91, 92, 93, 94] =
X3
as
rhs
M-30 200
20
18
4
4
من ان من -
(b) What are the matrices B, B-¹ and the vector Cgy?
7.5
-3
16
d
1
Transcribed Image Text:An LP is a standard max and has the tableau (A) as its initial and optimal tableau (B) (both have missing entries). Answer all the questions following. (B) (A) 2 1 0 x1 1-60 0 0 8 12 x1 50 a 0-13.5 7 -1 0 0 0 4 0 3 X2 X3 -30 -20 0 1 6 1 4.5 0 1 0 1 0 6 3 4 $1 82 83 €4 0 0 0 M I2 I3 $1 $2 0 0 0 0 0 0 1 a rhs 0 0 0 0 0 48 10 0 0 01 0 0 60 00 e 1 (a) What is the reduced cost for ₁ $3 e4 50 30 2 3 -7.5 3 4 -1 -1 0 0 0 0 1 -12 0 1 0 0 1000 (c) What are the optimal primal and dual solutions? x1 X2 and [91, 92, 93, 94] = X3 as rhs M-30 200 20 18 4 4 من ان من - (b) What are the matrices B, B-¹ and the vector Cgy? 7.5 -3 16 d 1
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