A housewife 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 1 kg of each food are given below min contents of 1 kg of each food are given below . If 1 kg of food X costs 6 and 1 kg of food Y costs 10, find the minimum cost of the mixture which will produce the diet.