<pre> Maximize R = x + y+ 2z subject to x - 2y + z <= 9 2x + y + 2z <= 28 (you sure it's not <=?) If it is: Tableau #1 x y z s1 s2 r 1 -2 1 1 0 0 9 2 1 2 0 1 0 28 -1 -1 -2 0 0 1 0 Tableau #2 x y z s1 s2 r 1 -2 1 1 0 0 9 0 5 0 -2 1 0 10 1 -5 0 2 0 1 18 Tableau #3 x y z s1 s2 r 1 0 1 1/5 2/5 0 13 0 1 0 -2/5 1/5 0 2 1 0 0 0 1 1 28 Overall Soln: r = 28; x = 0, y = 2, z = 13 </pre>