A fruit grower can use two types of fertilizer in his garden, brand P

1.	A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and atmost 310 kg of chlorine. If the grower wants to minimize the amount of nitrogen added to the garden, how many bags of each brand should be used. What is the minimum amount of nitrogen added in the garden? kg per bag FertilizerBrand PBrand QNitrogen33.5Phosphoric acid12Potash31.5Chlorine1.52
Answer» A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and atmost 310 kg of chlorine. If the grower wants to minimize the amount of nitrogen added to the garden, how many bags of each brand should be used. What is the minimum amount of nitrogen added in the garden? $\begin{matrix} k g p e r b a g \begin{matrix} F e r t i l i z e r & B r a n d P & B r a n d Q N i t r o g e n & 3 & 3.5 P h o s p h o r i c a c i d & 1 & 2 P o t a s h & 3 & 1.5 C h l o r i n e & 1.5 & 2 \end{matrix} \end{matrix}$

A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and atmost 310 kg of chlorine. If the grower wants to minimize the amount of nitrogen added to the garden, how many bags of each brand should be used. What is the minimum amount of nitrogen added in the garden? kg per bag FertilizerBrand PBrand QNitrogen33.5Phosphoric acid12Potash31.5Chlorine1.52

Answer»

A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and atmost 310 kg of chlorine. If the grower wants to minimize the amount of nitrogen added to the garden, how many bags of each brand should be used. What is the minimum amount of nitrogen added in the garden?

$\begin{matrix} k g p e r b a g \begin{matrix} F e r t i l i z e r & B r a n d P & B r a n d Q N i t r o g e n & 3 & 3.5 P h o s p h o r i c a c i d & 1 & 2 P o t a s h & 3 & 1.5 C h l o r i n e & 1.5 & 2 \end{matrix} \end{matrix}$

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