Use big m to solve the following linear programming model. Cleary state the optimal solution and the values for decision variables you obtained from the optimal tablaeu.

Max Z $=3$x$1+$x$2+2$x$3$

s$.$t$.$

$2$x$1+$ x$2+2$x$3<=6$

x$1+$x$2+$x$3=4$

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

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