There are two types of fertilizers 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 at least 14 kg of nitrogen and 14 kg of phosphoric acid for her crop. If F 1 cost Rs 6/kg and F 2 costs Rs 5/kg, determine how much of each type of fertilizer should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?

There are two types of fertilizers F 1 and F 2 . F 1 consists of 10%

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 consists of 5% nitrogen and 10% phosphoric acid. After testing the 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 cost Rs 6/kg and F 2 costs Rs 5/kg, determine how much of each type of fertilizer should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?
Answer» There are two types of fertilizers 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 at least 14 kg of nitrogen and 14 kg of phosphoric acid for her crop. If F 1 cost Rs 6/kg and F 2 costs Rs 5/kg, determine how much of each type of fertilizer should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?