The maximum point is (6, 5) and the minimum point is (0, 5)
How to determine the maximum point and Minimum point
From the question, we have the following parameters that can be used in our computation:
f(x, y) = 3x - 2y
Also, we have the feasible region represented by the graph
On the graph, we have the following feasible points
(x, y) = (0, 5), (4, 7), (6, 5)
Substitute the known values into the equation
f(0, 5) = 3 * 0 - 2 * 5 = -10
f(4, 7) = 3 * 4 - 2 * 7 = -2
f(6, 5) = 3 * 6 - 2 * 5 = 8
Hence, the maximum point is (6, 5) and the minimum point is (0, 5)