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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 the oil 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 ?

Text Solution

Verified by Experts

The correct Answer is:
The minimum cost Z = Rs. 1000
The fertilisers consists 100 kg of `F_(1)` type and 80 kg of `F_(2)` type.
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