The image appears to be a problem related to a system of inequalities, involving a graph that outlines a shaded region and a function to be maximized, specifically $f(x, y) = 3x + 2y$. The task seems to be asking for the maximum value of the objective function within the shaded area of the graph.

To approach this problem, we would typically find the vertices of the shaded region (which represent the feasible solutions) and evaluate the objective function at each vertex. The maximum value occurs at one of these vertices, as linear objective functions achieve their extreme values at corner points.

Let me guide you through solving this:

1. Identify the vertices: Look for the coordinates of the vertices of the shaded region in the graph.
2. Evaluate the function: Plug the coordinates of each vertex into the objective function $f(x, y) = 3x + 2y$.
3. Determine the maximum: The maximum value of $f(x, y)$ among these evaluations is the solution to the problem.

Would you like me to explain how to extract the coordinates of the vertices and evaluate the objective function further?