The coordinates of corner points
Corner Point Corresponding value
of Z
(0, 0)
0
(30, 0)
120 ←
Maximum
(20, 30)
110
(0, 50)
50
Corner Point Corresponding value
of Z
(0, 5)
2500
(4, 3)
2300
(0, 6)
3000
Minimum
←
Fig 12 3
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not to be republished
LINEAR PROGRAMMING         511
A, B and C are (0,5), (4,3) and (0,6) respectively Now we evaluate Z  = 200x + 500y
at these points Hence, minimum value of Z is 2300 attained at the point (4, 3)
Example 3 Solve the following problem graphically:
Minimise and Maximise Z = 3x + 9y