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: $\begin{array}{cccc} \textbf{Food} & \textbf{Vitamin A} & \textbf{Vitamin B}& \textbf{Vitamin C}\\ X & 1 & 2 &3 \\ Y & 2 & 2 &1 \end{array}$ 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?

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