I see that you've uploaded an image related to a linear programming problem. To solve this, let's analyze the constraints and objective function.

The objective function to maximize is: $z = 4x + 3y$ subject to the following constraints:

1. $2x - 3y \leq 12$
2. $x + y \geq 5$
3. $3x + 4y \geq 24$
4. $x \geq 0$
5. $y \geq 0$

To solve this problem graphically, you would:

1. Plot the constraints as lines on a coordinate plane.
2. Identify the feasible region.
3. Evaluate the objective function at each vertex of the feasible region to find the maximum value.

Would you like me to provide the graphical representation or walk you through the steps of solving this using the graphical method? Let me know how you'd like to proceed!