subject to: x1 + 5x2 • 2x3 <= b1; x1 - 5x2 - 6x3 <= b2; and x1,x2,x3 >= 0. The table below shows the optimal tableau. Find the values of b1, and b2 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Consider the following LP modet
MAX Z = 2x1 + 3x2 + 4x3;
subject to:
x1 + 5x2 + 2x3 <= b1;
x1 - 5x2 - 6x3 <=
and x1,x2,x3 >= 0.
b2;
The table below shows the optimal tableau. Find the values of b1, and b2 0
Basic
x1
x2
x3
x4
x5
Solution
a
d
e
8
x3
0.5
b
1
0.5
3
2
18
s2
4
1
> b1=3.62=5
bi=3.62=4
bT 5.62=5
bl=4.62=4
Transcribed Image Text:Consider the following LP modet MAX Z = 2x1 + 3x2 + 4x3; subject to: x1 + 5x2 + 2x3 <= b1; x1 - 5x2 - 6x3 <= and x1,x2,x3 >= 0. b2; The table below shows the optimal tableau. Find the values of b1, and b2 0 Basic x1 x2 x3 x4 x5 Solution a d e 8 x3 0.5 b 1 0.5 3 2 18 s2 4 1 > b1=3.62=5 bi=3.62=4 bT 5.62=5 bl=4.62=4
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