6. Construct the simplex tableau for the following LPs, and find their optimal tableau, the optimal
solution and the optimal objective.
maximize $z = x_1 + x_2$,
subject to
$8x_1 + 6x_2 \ge 24$,
$2x_2 \le 4$,
$x_1 \ge 0$,
$x_2 \ge 0$.
maximize $z = x_1 + x_2$,
subject to
$8x_1 + 6x_2 \ge 24$,
$2x_2 \ge 4$,
$x_1 \ge 0$,
$x_2 \ge 0$.
maximize $z = x_1 + x_2$,
subject to
$5x_1 + 3x_2 \le 15$,
$3x_1 + 5x_2 \le 15$,
$x_1 \ge 0$,
$x_2 \ge 0$.
