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Using duality solve the following L.P.P Max. $Z = 5x_1 -2x_2 + 3x_3$

Using duality solve the following L.P.P

Max. $Z = 5x_1 -2x_2 + 3x_3$, subject to $2x_1 + 2x_2 - x_3≥ 2 ; 3x_1 - 4x_2≤3 ; x_1 + 3x_3 ≤ 5$

$x_1 , x_2 , x_3 ≥ 0$