$4x+y4$

$x+y1$

$-3x+y0$

$x,y0$

In both steps below, don't forget to encode the correct objective in the initial tableau, and make sure that objective row in the

initial tableau two satisfies tableau properties $($ie$,$ all basic variable cols are zero$).$

$($a$)$ Since the non$-$negative slack variable in the second constraint cannot act as a basic variable, add an artificial variable to

that constraint. Now, solve phase one, where the objective is to minimize the sum of artificial variables.