dual_simplex_ex - 0 -1 x 2 4/3 1 0 -1/3 0 2 S 3-5/3 0 0 2/3...

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Example: (Dual Simplex Method) Min z = 2x 1 + x 2 s.t. 3x 1 + x 2 3 4x 1 + 3x 2 6 x 1 + 2x 2 3 x i 0 Min z = 2x 1 + x 2 s.t. -3x 1 - x 2 -3 -4x 1 - 3x 2 -6 x 1 + 2x 2 3 x i 0 Min z = 2x 1 + x 2 s.t. -3x 1 - x 2 + S 1 = -3 -4x 1 - 3x 2 + S 2 = -6 x 1 + 2x 2 + S 3 = 3 x i 0 x 1 x 2 S 1 S 2 S 3 RHS Z -2 -1 0 0 0 0 S 1 -3 -1 1 0 0 3 S 2 -4 -3 0 1 0 6 S 3 1 2 0 0 1 3 Ratio 1/2 1/3 - - - - x 1 x 2 S 1 S 2 S 3 RHS Z -2/3 0 0 -1/3 0 2 S 1 -5/3 0 1 -1/3
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Unformatted text preview: 0 -1 x 2 4/3 1 0 -1/3 0 2 S 3-5/3 0 0 2/3 1 -1 Ratio 2/5 - - - - - x 1 x 2 S 1 S 2 S 3 RHS Z 0 0 -2/5 -1/5 0 12/5 x 1 1 0 -3/5 1/5 0 3/5 x 2 0 1 4/5 -3/5 0 6/5 S 3 0 0 -1 1 1 0 Then, x* 1 = 5 3 , x* 2 = 5 6 , and Z* = 5 12 . Graphically: 1 2 3 1 3 5 6 , 5 3 2 3 2 2 3 Dual Simplex Path...
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dual_simplex_ex - 0 -1 x 2 4/3 1 0 -1/3 0 2 S 3-5/3 0 0 2/3...

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