Take the dual of the following problem.

$minimiz{e}_{x_1,x_2,x_3,x_4}Z=-4x_1-2x_2+3x_3+x_4$ subject $to$:

$2x_1-3x_2+x_3+5x_4-5,$

$-x_1-2x_3+3x_4=1,$

$-2x_1+x_2-3x_3-x_{4}3,$

$x_1,x_{2}0,x_{3}0,x_4$ free.