# A dietician wishes to mix together two kinds of food X and Y in such a way that the mixture contains atleast 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The vitamin content of one kg food is given below : 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.

 Food Vitamin A Vitamin B Vitamin C X 1 2 3 Y 2 2 1