Question $2$

$(24$ points$)$ Consider the following legitimate simplex tableau for a maximization problem. That is$,$ it conforms all the rules and provides a feasible solution. Let $x_4,x_5,$ and $x_6$ denote the slack variables for the first through third constraints, respectively.

$\backslash$table$[[z,x_1,x_2,x_3,x_4,x_5,x_6,$RHS$],[1,a,b,c,d,e,f,8],[0,5,1,0,g,0,-4,14],[0,2,0,0,-2,1,-7,k$