Observe that
the feasible region is bounded, coordinates of the corner points A, B, C, D and E are
(5, 0) (6, 0), (4, 4), (0, 6) and (0, 4) respectively Fig 12 11
Let us evaluate Z = 600 x + 400 y at these corner points Corner point
Z = 600 x + 400 y
(5, 0)
3000
(6, 0)
3600
(4, 4)
4000 ←
Maximum
(0, 6)
2400
(0, 4)
1600
We see that the point (4, 4) is giving the maximum value of Z