Q$.$ Use Big M and $2$ Phase algorithms to solve the following LP model. Clearly state the optimal solution and the values for decision variables you obtained from the optimal tableau and compare the two solutions.

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$3=>0$