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Write the Dual the following L.P.P

Max. $Z = 2x_1 -x_2 + 4x_3 ,$

$ \text{subject to} \hspace{0.2cm} x_1 +2 x_2 - x_3 ≤ 5 ; 2 x1 -x2 + x3 ≤6$

$x_1 +x_2 + 3x_3 ≤10 ; 4x_1 +x_3≤12$

$x_1 , x_2 , x_3 ≥ 0$

**1 Answer**