4
Corner
Corresponding value of
Point
 Z = 3x + 9y
A (0, 10)
90
B (5, 5)
60
C (15, 15)
180
D (0, 20)
180
Minimum
Maximum
(Multiple
optimal
solutions)
←
}←
We now find the minimum and maximum value of Z From the table, we find that
the minimum value of Z is 60 at the point B (5, 5) of the feasible region The maximum value of Z on the feasible region occurs at the two corner points
C (15, 15) and D (0, 20) and it is 180 in each case Remark Observe that in the above example, the  problem  has multiple optimal solutions
at the corner points C and D, i