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A housewife wishes to mix up two kind of foods X and Y in such a way that 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 food X and 1 kg of food Y are as given in the table : If 1 kg of food X costs Rs. 6 and 1 kg of food Y costs Rs. 10, find the least cost of the mixture which will produce the desired diet.

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


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