The graph shows 3 points in the form (x, y).
Point 1 = (0, 8)
Point 2 = (5, 4)
Point 3 = (9, 0)
We are also given P = 3x + 2y.
Which value for x and y given in the points provides the greatest number for P?
P = 3(0) + 2(8)
P = 16
P = 3(5) + 2(4)
P = 23
P = 3(9) + 2(0).
P = 27
The point (9, 0) yields the biggest number for P.
The values of x and y that maximize the function P are x = 9 and y = 0.