Home
Class 12
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?

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LINEAR PROGRAMING

    RD SHARMA ENGLISH|Exercise All Questions|4 Videos

  • MAXIMA AND MINIMA

    RD SHARMA ENGLISH|Exercise All Questions|309 Videos

Similar Questions

Explore conceptually related problems

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 fertilizers F_(1) and F_(2).F_(1) consists of 10% nitrogen and 6% phosphoric acid and F_(2) contains 5% nitrogen and 10% phosphoric acid. After testing the soil condition a farmer finds that he needs at least 14 kg of nitrogen and 14 kg of phosphoric acid forhis crop. If F_(1) costs Rs. 6 per kg and F_(2) costs Rs. 5 perkg, determine how muchofeach of fertilizers beused so that nutrient requirements are met at a minimum cost. What is the minimum cost?

Knowledge Check

  • The structure of ortho-phosphoric acid is:

    A
    `O larr overset(H)overset(|)underset(H)underset(|)P-OH`
    B
    `H-O-underset(O)underset(darr)P=O`
    C
    `H-O-underset(H)underset(|)underset(O)underset(|)overset(O)overset(uarr)P-OH`
    D
    `Olarrunderset(H)underset(|)underset(O)underset(|)overset(H)overset(|)P-OH`

    • Similar Questions

    Explore conceptually related problems

    A farmer has a supply of chemical fertilizer of type. A which 10% nitrogen and 6% phosphoric acid and of type B which contains 5% nitrogen and 10% phosphoric acid. After soil test, it is found that at least 7kg of nitrogen and same quantity fo phosphoric acid is required for a good crop. The fertilizer of type A costs 5.00 per kg and the type B costs 8.00 per kg. Using Linear programming, find how many kilograms of each type of the fertilizer should be bought to meet the requirement and for the cost to be minimum. Find hte feasible region in the graph.

    The basicity of phosphoric acid is _____ .

    Why is phosphoric acid syrupy?

    Calculate the molar mass of Phosphoric acid

    The fertilizer which makes the soil acidic :

    Among the oxyacids of phosphorous the dibasic acid is

    The normality of 10% (weight /volume) acetic acid is

    Home
    Profile