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Multiple Optimal Solutions 3D LP
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Multiple Optimal Solutions 3D LP
A 3D LP demonstrating the geometry of multiple optimal solutions.
max
s.t.
(0)
z
x
4
x
5
x
6
x
7
= 0 + 1x
1
+ 1x
2
+ 1x
3
= 2 + 0x
1
- 1x
2
+ 0x
3
= 3 - 1x
1
+ 0x
2
- 1x
3
= 2 - 1x
1
+ 0x
2
+ 0x
3
= 4 + 0x
1
- 1x
2
- 1x
3
Constraint(s)
(4) 0x
1
+ 1x
2
+ 0x
3
≤ 2
(5) 1x
1
+ 0x
2
+ 1x
3
≤ 3
(6) 1x
1
+ 0x
2
+ 0x
3
≤ 2
(7) 0x
1
+ 1x
2
+ 1x
3
≤ 4
Objective Value: 0.0
0.0
1.52
3.03
4.55
5.69
7.2
8.72
Iteration: 0
0
1
2
3
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