Answer:
max: 72 at (4, 8)
min: 8 at (2, 0)
Step-by-step explanation:
The attached graph shows the solution set as a white area. The shaded areas are excluded from the solution set. The dashed boundary lines indicate those lines are not excluded from the set. The vertices of the polygon are (0, 2), (2, 0) and (4, 8).
The line f(x,y) = 0 is shown for reference. The maximum value of f(x,y) will be found at the vertex of the solution set that is farthest from this line. The minimum will be found at the vertex of the solution set that is closest to this line.
The maximum value of f(x, y) is 72 at (x, y) = (4, 8).
The minimum value of f(x, y) is 8 at (x, y) = (2, 0).
