Solve by simplex method the following LPP:

Minimize $Z = x_1 - 3x_2 + 2x_3$

subject to following constraints

$3x_1-x_2+2x_3\leq7 \\ -2x_1+4x_2 \leq 12 \\ -4x_1 + 3x_2 + 8 x_3 \leq 0 \\ and x_1, x_2, x_3 \geq 0$

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