Consider the objective function $z = 6 x + 9 y$ subject to the following constraints:

Find the feasible region and list the corner points.
Corner points:
If there is more than one corner point, type the points separated by a comma (i.e. (1,2),(3,4));

Find the maximum and minimum values of $z$.
Maximum value of $z$ is: when $x =$ and $y =$
Minimum value of $z$ is: when $x =$ and $y =$

Your overall score for this problem is