1.) Establish the initial feasible solutions of the LP model using NCR (North west Corner Rule), MCM ( Minimum Cost Method or Greedy Method), and VAM ( Vogel’s Approximation Method)
Minimize: C = 14X1A + 25X1B + 13X1C + 18 X1D.+ 10X2A + 12X2B + 13X2C + 11X2D + 15X3A + 20X3B + 11X3C+ 25X3
Subject to: X1A + X1B + X1C + X1D = 140 X1A + X2A + X3A = 100
X2A + X2B + X2C + X2D = 160 X1B + X2B + X3B = 100
X3A + X3B + X3C + X3D = 50 X1C + X2C + X3C = 50
X1D + X2D + X3D = 100 Xij
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