There are two types of fertilisers \( F_{1} \) and \( F_{2} \cdot F_{1} \) consists of \( 10 \% ...

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There are two types of fertilisers \( F_{1} \) and \( F_{2} \cdot F_{1} \) consists of \( 10 \% \) nitrogen and \( 6 \% \) phosphoric acid and \( \mathrm{F}_{2} \) consists of \( 5 \% \) nitrogen and \( 10 \% \) phosphoric acid. After testing the soil conditions, a farmer finds that she needs atleast \( 14 \mathrm{~kg} \) of nitrogen
P and \( 14 \mathrm{~kg} \) of phosphoric acid for her crop. If \( F_{1} \) costs Rs \( 6 / \mathrm{kg} \) and \( F_{2} \) costs

WV Rs \( 5 / \mathrm{kg} \), determine how much of each type of fertiliser should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?
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