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 The minimum amount
of vitamin A will be 150 units Example 10 (Manufacturing problem) A manufacturer has three machines I, II
and III installed in his factory Machines I and II are capable of being operated for
at most 12 hours whereas machine III must be operated for atleast 5 hours a day