3 A dietician wishes to mix together two kinds of food X and Y in such a way that
the mixture contains at least 10 units of vitamin A, 12 units of vitamin B and
8 units of vitamin C The vitamin contents of one kg food is given below:
Food
Vitamin A Vitamin B
Vitamin C
X
1
2
3
Y
2
2
1
One kg of food X costs Rs 16 and one kg of food Y costs Rs 20 Find the least
cost of the mixture which will produce the required diet