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There are two types of fertilizers F(1) ...

There are two types of fertilizers `F_(1)` and `F_(2).F_(1)` consists of 10% nitrogen and 6% phosphoric acid and `F_(2)` contains 5% nitrogen and 10% phosphoric acid. After testing the soil condition a farmer finds that he needs at least 14 kg of nitrogen and 14 kg of phosphoric acid forhis crop. If `F_(1)` costs Rs. 6 per kg and `F_(2)` costs Rs. 5 perkg, determine how muchofeach of fertilizers beused so that nutrient requirements are met at a minimum cost. What is the minimum cost?

Text Solution

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The correct Answer is:
`F_(1)=100kg, F_(2)=80kg` Minimum cost `=Rs. 1000`
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