Q. A dietician has to develop a special diet using two foods $X$ and $Y$. Each packet (containing $30 \,g$ ) of food. $X$ contains $12$ units of calcium, $4$ units of iron, $6$ units of cholesterol and $6$ units of vitamin A. Each packet of the same quantity of food $Y$ contains $3$ units of calcium, $20$ units of iron, $4$ units of cholesterol and $3$ units of vitamin A. The diet requires atleast $240$ units of calcium, atleast $460$ units of iron and atmost $300$ units of cholesterol. The corner points of the feasible region are
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