1

Question

Refer to question 8. If the grower wants to maximize 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?

Open in App

Solution

Consider, Bags of brand P needed be

Now, table for the two types of different brand fertilizer is,

Brand | No. of bags | Nitrogen | Phosphoric Acid | Potash | Chlorine |

P | | | | | |

Q | | | | | |

Total requirement | | | |

The function is maximized,

All the constraints are,

The line

x | 0 | 240 |

y | 120 | 0 |

For

x | 0 | 90 |

y | 180 | 0 |

For

x | 0 | 206.67 |

y | 155 | 0 |

Therefore, the graph for the lines is given as,

Corner points | Value of |

| |

| |

| 595 (Maximum) |

No. of bags of brand P is equal to

Thus, the maximum amount of the Nitrogen is

1

View More

Join BYJU'S Learning Program

Join BYJU'S Learning Program