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

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 he soil conditions a farmer finds that she needs at least 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 to that nutrient requirements are met at a minimum cost. What is the minimum cost?

Text Solution

Verified by Experts

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

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NAGEEN PRAKASHAN-LINEAR PROGRAMMING-Exercise 12 B
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  9. There are two types of fertilisers F(1) and F(2).F(1) consists of 10% ...

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