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

maxZ$=,3x_1+x_2+2x_3$

$s.t.2x_1+x_2+2x_{3}6$

$,x_1+x_2+x_3=4$

$,x_1+2x_2+x_{3}6$

$,x_1,x_2,x_{3}0$