Fig 12 10
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MATHEMATICS
The coordinates of the corner points L, M and N are (2, 72), (15, 20) and (40, 15)
respectively Let us evaluate Z at these points:
Corner Point
Z = 6 x + 3 y
(2, 72)
228
(15, 20)
150 ←
Minimum
(40, 15)
285
From the table, we find that Z is minimum at the point (15, 20) Hence, the amount
of vitamin A under the constraints given in the problem will be minimum, if 15 packets
of food P and 20 packets of food Q are used in the special diet