Solve the following linear programming problem graphically: Maximize $Z = 2x + 3y$, subject to the constraints: $x + y \le 6$, $x \ge 2$, $y \le 3$, $x, y \ge 0$.

Max $Z = 15$ at $(3, 3)$

The correct answer is Option (2) → Max $Z = 15$ at $(3, 3)$ ##

Constraints: $x + y \le 6, x \ge 2, y \le 3, x, y \ge 0$

For the line $x + y = 6$:

Evaluation of Corner Points:

Maximum value of $Z$ is 15 at $D(3, 3)$.