Establish the initial feasible region using Northwest Corner Rule and optimal solutions of the LP model using Stepping Stone Method. Minimize: C = 15x1A +24x1B + 12x1c + 19x1D + 10x2A + 11x2B + 13x20 + 13x2D + 16x3A +21x3B + 11x30 + 26x3D Subject to: X1A + X1B + X1C + X1D = 140 X3A+X3B + X3C X1A + X2A + X3A X2A + X2B + X₂c + X2D = 160 + X3D = 50 : 100 X1B + X2B + X3B = 100 X1c + x2c + x3c = 50 X1D + X2D + X3D = 100 Xij 20

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Establish the initial feasible region using Northwest Corner Rule and optimal
solutions of the LP model using Stepping Stone Method.
Minimize: C = 15x1A + 24x18 + 12x1c + 19x1D + 10x2A + 11x₂B + 13x2c
+ 13x2D + 16x3A +21x3B + 11x3c + 26xX3D
Subject to:
X1A + X1B + X1c + X1D = 140
X2A + X2B + X₂c + X2D = 160
X3A+X3B + X3C + X3D = 50
X1A + X2A + X3A
+ X3A = 100
X1B + X2B + X3B = 100
X1c + x2c + X3C = 50
X1D + X2D + X3D = 100
Xij ≥ 0
#
Transcribed Image Text:Establish the initial feasible region using Northwest Corner Rule and optimal solutions of the LP model using Stepping Stone Method. Minimize: C = 15x1A + 24x18 + 12x1c + 19x1D + 10x2A + 11x₂B + 13x2c + 13x2D + 16x3A +21x3B + 11x3c + 26xX3D Subject to: X1A + X1B + X1c + X1D = 140 X2A + X2B + X₂c + X2D = 160 X3A+X3B + X3C + X3D = 50 X1A + X2A + X3A + X3A = 100 X1B + X2B + X3B = 100 X1c + x2c + X3C = 50 X1D + X2D + X3D = 100 Xij ≥ 0 #
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