The values of x and y that maximize the objective function are 9 and 0 and the maximum value is 27
Finding the values of x and y that maximize the objective function
From the question, we have the following parameters that can be used in our computation:
P = 3x + 2y
Also, we have the graph
From the graph, the feasible points are
(x, y) = (0, 8), (9, 0) and (5, 4)
Substitute these values into the equation
P(0, 8) = 3 * 0 + 2 * 8 = 16
P(9, 0) = 3 * 9 + 2 * 0 = 27
P(5, 4) = 3 * 5 + 2 * 4 = 23
Hence, the values of x and y are 9 and 0 and the maximum value is 27