using the big M method find the optimal solution for the lp model

Minimize z $=2$x$1-4$x$2+3$x$3$

$5$x$1-6$x$2+2$x$3>=5$

$-$x$1+312+5$x$3>=8$

$2$x$1+5$x$2-4$X$3<=4$

x$1,$x$2,$x$3=0$