Q$.$ Use simplex algorithm to solve the following LP model. Clearly state the optimal solution and the values for decision variables you obtained from the optimal tableau.

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

$($s$.$t$.)3$x$1+$x$2+$x$3<=60$

$2$x$1+$x$2+2$x$3<=20$

$2$x$1+2$x$2+$x$3<=20$

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