There are two types of fertilisers $F_{1}$ and $F_{2}$. $F_{1}$ consists of 10% nitrogen and 6% phosphoric acid and $F_{2}$ consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that she needs atleast 14 kg of nitrogen and 14 kg of phosphoric acid for her crop. If $F_{1}$ costs Rs 6/kg and $F_{2}$ costs Rs 5/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?

Question

$\begin{array}{1 1}1000 \\ 1400 \\ 1200 \\ 1100 \end{array}$