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 at most 310 kg of chlorine. If the grower wants to minimise the amount of nitrogen added to the garden, how many bags of each brand should be used?
If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added? What is the maximum amount of nitrogen added?
| kg per bag |
|
Brand P |
Brand Q |
| Nitrogen |
3 |
3.5 |
| Phosphoric acid |
1 |
2 |
| Potash |
3 |
1.5 |
| Chlorine |
1.5 |
2 |
