What can be said about: maximise $Z = x + y$ subject to $x + y \le 3$, $2x + 3y \ge 12$, $x \ge 0$, $y \ge 0$?

Explanation

1. 01

   On $x + y \le 3$ in the first quadrant, $2x + 3y$ is largest at $(0, 3)$, where it is 9.

2. 02

   9 is less than 12, so no point satisfies both constraints: the feasible region is empty.