Home
Class 14
MATHS
A gardener has supply of fertilizer A ...

A gardener has supply of fertilizer A which consists of 10% nitrogen and 6% phosphoric acid and fertilizer B which consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, he finds that he needs at least 14 kg of nitrogen and 14 kg of phosphoric acid for his crop. If fertilizer A costs 10.60 per kg and fertilizer B costs 8.40 per kg, what is the minimum 'cost at which the farmer can meet the nutrient requirement by using a combination of both types of fertilizers? `R s .1488` b. `R s .1576` c. `R s .1648` d. Rs 1732

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PARTNERSHIP

    RS AGGARWAL|Exercise All Questions|75 Videos
  • PERMUTATIONS & COMBINATIONS

    RS AGGARWAL|Exercise All Questions|61 Videos

Similar Questions

Explore conceptually related problems

There are two types of fertilisers 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 fanner finds that she needs atleast 14

There are two types of fertilisers ‘A’ and ‘B’. ‘A’ consists of 12% nitrogen and 5% phosphoric acid whereas ‘B’ consists of 4% nitrogen and 5% phosphoric acid. After testing the soil conditions, farmer finds that he needs at least 12 kg of nitrogen and 12 kg of phosphoric acid for his crops. If ‘A’ costs Rs. 10 per kg and ‘B’ cost Rs. 8 per kg, then graphically determine how much of each type of fertiliser should be used so that nutrient requirement are met at a minimum cost.

There are two types of fertilisers 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 he 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) costs Rs. 6/kg and F_(2) costs Rs. 5/kg, determine how much of each type of fertiliser should be used to that nutrient requirements are met at a minimum cost. What is the minimum cost?

(Allocation Problem)A farmer has a supply of chemical fertilizer and type I which contains 10% nitrogen and 6% phospheric acid and type II fertilizer which contains 5% nitrogen and 10% phospheric acid. After testing the soil condition of a field, it is found that at least 14 kg of nitrogen and 14kg of phospheric acid are required for a good crop.The fertilizer type I costs ₹.2.00 per kg and the type II ₹ 3.00 per kg.How many kilograms of each fertilizer should be used to meet the requirements and the cost be minimum?

Name the nitrogenous fertilizers.

The fertilizer which makes the soil acidic :

RS AGGARWAL-PERCENTAGE-All Questions
  1. In an examination, 35% candidates failed in one subject and 42% fail...

    Text Solution

    |

  2. A man ordered a length of rope by telephone from his nearest hardwar...

    Text Solution

    |

  3. A gardener has supply of fertilizer A which consists of 10% nitrogen...

    Text Solution

    |

  4. I bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 er...

    Text Solution

    |

  5. The majority against a certain motion is equal to 8% of the total n...

    Text Solution

    |

  6. The number of votes not cast for the Praja Party increased by 25% in...

    Text Solution

    |

  7. Solve [180 %\ of\ (?)]-:2=504 a.400 b. 600 c. 560 d. 480

    Text Solution

    |

  8. What will come in the place of (?) in the expression below: x % of\ ...

    Text Solution

    |

  9. How much 66 2/3%\ of\ R s .312 exceeds Rs. 200? R s .96 b. R s .8 c. R...

    Text Solution

    |

  10. Solve: 105. 27 %\ of\ 1200. 11+11. 80 %\ of\ 2360. 85=21. 99 %\ of\ (?...

    Text Solution

    |

  11. State Electricity Board gives 15% discount on electric bills if it i...

    Text Solution

    |

  12. Solve (550 %\ of\ 250)-:275=(?) 15 b. 1. 5 c. 0. 5 d. none of these

    Text Solution

    |

  13. What is the minimum passing percentage in a test? (I)Raman scored...

    Text Solution

    |

  14. 32% of 825 +25% of 1440=1025−( ? )   456 b. 206 c. 223 d. 40...

    Text Solution

    |

  15. In a village 60% votes were cast in an election. A and B were the co...

    Text Solution

    |

  16. ?+30.01% of 651÷25.05% of 59.98=135   a.68 b. 140 c. 122 d. ...

    Text Solution

    |

  17. 4/ 3 of 25% of 18 / 19 of 57=?   36 b. 8 c. 18 d. 12

    Text Solution

    |

  18. ?% of 1239.96+59.87% of 449.95=579.05   a.15 b. 20 c. 25 d. ...

    Text Solution

    |

  19. In an examination, 96% of students passed and 500 student failed. H...

    Text Solution

    |

  20. Madhuri's present salary is Rs. 3500. It will increase by 10% next y...

    Text Solution

    |