The maximum or minimum value occurs at the corner points of the feasible region. In the given graph following are the corner points:
a) (0,0)
b) (0,8)
c) (6,5)
d) (8,0)
The given function is: P = -3x + 4y
The value of the function at corner points is:
a) P = -3(0) + 4(0) = 0
b) P = -3(0) + 4(8) = 32
c) P = -3(6) + 4(5) = 2
d) P = -3(8) + 4(0) = -24
This means, the maximum value is 32 and occurs at the point (0,8)
