Solve the following LP using two$-$phase method. You can use LINDO to solve the phases separately. If you choose to use LINDO, do not forget to attach the output files. $($Note that the model might be infeasible or unbounded, or has alternative or unique optima.$)$

maxz$=2x_1+2x_2+4x_3$

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

$3x_1+4x_2+2x_{3}8$

$x_1,x_2,x_{3}0$