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A whole-sale dealer deals in two kinds, ...

A whole-sale dealer deals in two kinds, A and B say, of mixture of nuts. Each kg of mixture A contains 60 gms of almonds, 30 gms of cashew nuts, and 30 gms of hazel nuts. Each kg of mixture B contains 30 gms of almonds, 60 gms of cashew nuts, and 180 gms of hazel nuts. The remainder of both mixtures is pea nuts. The dealer is contemplating to use mixtures A and B to make a bag which will contain at least 240 gms of almonds, 300 gms of cashew nuts, and 540 gms of hazel nuts. Mixture A costs Rs. 8 per kg. And mixture B costs Rs. 12.00 per kg. Assuming that mixture A and V are uniform :
How many kgs of each should he use to minimize the cost of the bag ?

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A wholesale dealer deals in two kinds of mixtures A & B of nuts. Each kg of mixture A contains 60 grams of almonds, 30 grams of cashew & 30 grams of hazel nuts. Each kg of mixture B contains 30 grams of almonds, 60 grams of cashew & 180 grams of hazel nuts. A dealer is contemplating to use mixtures A & B to make a bag which will contain at least 240 grams of almonds, 300 grams of cashew and 540 grams of hazel nuts Mixture A costs ₹8 & B costs ₹12 per kg. How many kgs of each mixture should he use to minimize the cost of the kgs.

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Knowledge Check

  • A hard nut to crack

    A
    Easily disappointed
    B
    A difficult problem
    C
    Easily encouraged
    D
    Not restrained
  • Each 9.4gm of a compound contains 7.2gm carbon, 0.6gm hydrogen and rest oxygen. The empirical formula of the compound is:

    A
    `C_(3)H_(3)O`
    B
    `C_(6)H_(3)O`
    C
    `C_(6)H_(6)O`
    D
    `C_(3)H_(6)O_(2)`
  • A box contains 50 bolts and 150 nuts. Half of the bolts and half of the nuts are rusted. If one item is chosen at random, then probability that it is rusted, or is a bolt, is

    A
    `3/8`
    B
    `1/2`
    C
    `5/8`
    D
    `2/3`
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