Transportation Model (Optimal Feasible Solution) Minimize: C = 15x₁a + 24xıb + 12xic + 19x1D + 10x2A + 11x2B + 13x²c + 13x2D + 16X3A +21X3B + 11x3c +26x3D Subject to: X1A + X1B + x1c + x1D = 140 X2A + X2B + x2c + x2D = 160 X3A+X3B + Xx3C + x3D = 50 X1A + X2A + X3A = 100 X1B + X2B + X3B = 100 x1c + x2c + x3 = 50 X1D + X2D + X3D = 100 Xiiii 20 Using the initial feasible solutions of Northwest Corner Rule, establish the optimal feasible solutions of the LP problem using: 1. Stepping Stone Method (SSM) 2. Modified Distribution Method (MODI) Follow the step-by-step approach showing your solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Transportation Model (Optimal Feasible Solution)
Minimize: C = 15x1A +24x1B + 12x1c + 19x1D + 10x2A + 11x2B + 13x2c + 13x2D +
16х3А + 21х3в + 11x3c + 26х3D
Subject to:
X1A + X1B + x1c + X1D = 140
X2A + X2B + x2c + x2D = 160
X3A + X3B + X3c + X3D = 50
X1A + X2A + X3A = 100
X1B + X2B + X3B = 100
x1c + x2c + x3 = 50
X1D + X2D + X3D = 100
Xiiii ≥ 0
Using the initial feasible solutions of Northwest Corner Rule, establish the optimal feasible
solutions of the LP problem using:
1. Stepping Stone Method (SSM)
2. Modified Distribution Method (MODI)
Follow the step-by-step approach showing your solution.
Transcribed Image Text:Transportation Model (Optimal Feasible Solution) Minimize: C = 15x1A +24x1B + 12x1c + 19x1D + 10x2A + 11x2B + 13x2c + 13x2D + 16х3А + 21х3в + 11x3c + 26х3D Subject to: X1A + X1B + x1c + X1D = 140 X2A + X2B + x2c + x2D = 160 X3A + X3B + X3c + X3D = 50 X1A + X2A + X3A = 100 X1B + X2B + X3B = 100 x1c + x2c + x3 = 50 X1D + X2D + X3D = 100 Xiiii ≥ 0 Using the initial feasible solutions of Northwest Corner Rule, establish the optimal feasible solutions of the LP problem using: 1. Stepping Stone Method (SSM) 2. Modified Distribution Method (MODI) Follow the step-by-step approach showing your solution.
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