Condition on p and q so that the maximum of Z
occurs at both (3, 4) and (0, 5) is
(A) p = q
(B) p = 2q
(C) p = 3q
(D) q = 3p
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LINEAR PROGRAMMING         521
Miscellaneous Examples
Example 9 (Diet problem) A dietician has to develop a special diet using two foods
P and Q Each packet (containing 30 g) of food P contains 12 units of calcium, 4 units
of iron, 6 units of cholesterol and 6 units of vitamin A Each packet of the same quantity
of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units
of vitamin A The diet requires atleast 240 units of calcium, atleast 460 units of iron and
at most 300 units of cholesterol