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There are two types of fertilisers F1 an...

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?

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