There aretwo types of fertilizers F1 and F2. F1consists of 10% nitrogen and 6% phosphoric acid and F2consists of 5% nitrogen and 10% phosphoric acid. After testing thesoil conditions, a farmer finds that she needs at least 14 kg ofnitrogen and 14 kg of phosphoric acid for her crop. If F1cost Rs 6/kg and F2 costs Rs 5/kg, determine how much ofeach type of fertilizer should be used so that nutrient requirementsare met at a minimum cost. What is the minimum cost?

There aretwo types of fertilizers F1 and F2. F1consists of 10% nitroge

1.	There aretwo types of fertilizers F1 and F2. F1consists of 10% nitrogen and 6% phosphoric acid and F2consists of 5% nitrogen and 10% phosphoric acid. After testing thesoil conditions, a farmer finds that she needs at least 14 kg ofnitrogen and 14 kg of phosphoric acid for her crop. If F1cost Rs 6/kg and F2 costs Rs 5/kg, determine how much ofeach type of fertilizer should be used so that nutrient requirementsare met at a minimum cost. What is the minimum cost?
Answer» There are two types of fertilizers F₁ and F₂. F₁ consists of 10% nitrogen and 6% phosphoric acid and F₂ 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 F₁ cost Rs 6/kg and F₂ 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?