The image you've uploaded seems to involve a graph and a system of inequalities with a specific question about maximizing an objective function. From the visual, the region of feasible solutions is shaded, and you're asked to determine the maximum value of the objective function $f(x, y) = 3x + 2y$ in that region.

To find the maximum value, we need to examine the vertices of the feasible region, as the maximum or minimum of a linear objective function in a linear programming problem occurs at one of the vertices (corners) of the feasible region. From the graph:

• Identify the coordinates of the vertices of the feasible region.
• Plug these values into the objective function $f(x, y) = 3x + 2y$.
• The point where the value of the function is maximized will give us the answer.

Would you like me to walk you through the steps to solve this in detail? Or would you prefer I go ahead and calculate the maximum value directly from the graph?