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(a) Solve the following linear programming problem using the Simplex method: Max Z = 10X1 + 12X2 + 8X3 Subject to the constraints 3x1 +

(a) Solve the following linear programming problem using the Simplex method: Max Z = 10X1 + 12X2 + 8X3 Subject to the constraints 3x1 + X2 + 2x3 = 100 X1 + 4X2 + X3 - 120 2x1 + 3x2 5 80 x1 2 0, X2 2 0, X3 20 (15 marks)

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