Minimize 4X2 Subject to 4x, + 2x, > 12 3x, + 5x, > 15 5x, + 4x, > 20 *, 2 1 7 A -U= 2x, + 4x, =12 5- x, + 2x, = 12. 3- Decreasing value of U 2- <3x, + 5x, = 15 D. 1 Sx, + 4x, = 20

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Illustration 25.2:
U = 2x, + 4x,
%3D
Minimize
Subject to
4x, + 2x, > 12
Зх, + 5х, > 15
5x, + 4x, > 20
*, 2 1
7
G
A
6=
U= 2x; + 4x, = 12
5-
IB
4-
4x, + 2x, = 12
3+
Decreasing
value of U
2-
Зх, + 5х, 3D 15
1-
5x, + 4x, = 20
0-
2
3
Figure 25.4. Feasibility polygon for the minimization problem.
Transcribed Image Text:Illustration 25.2: U = 2x, + 4x, %3D Minimize Subject to 4x, + 2x, > 12 Зх, + 5х, > 15 5x, + 4x, > 20 *, 2 1 7 G A 6= U= 2x; + 4x, = 12 5- IB 4- 4x, + 2x, = 12 3+ Decreasing value of U 2- Зх, + 5х, 3D 15 1- 5x, + 4x, = 20 0- 2 3 Figure 25.4. Feasibility polygon for the minimization problem.
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