Maximize $p = 10x + 10y + 15z$ subject to
$x - y + z \le 14$
$2x - 2y + z \ge 15$
$-y + z \ge 6$
$x \ge 0, y \ge 0, z \ge 0$.
$p = $
$(x, y, z) =
Minimize $c = 2x + 2y + 3z$ subject to
$x + z \ge 40$
$2x + y \ge 20$
$y + z \ge 20$
$x \ge 0, y \ge 0, z \ge 0$.
$c = $
$(x, y, z) =
