Illustration 25.2: Minimize U= 2x, + 4x, Subject to 4x, + 2x, > 12 3x, + 5x, > 15 5x, + 4x, > 20 X1 2 1 X2 2 0 7 U= 2x+ 4x,-12 5- 4x, + 2x, = 12. 3- Decreasing value of U 2- -3x, + 5x, = 15 %3D 1. 5x, + 4x, = 20 3 Figure 25.4. Feasibility polygon for the minimization problem.

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