Home
Class 12
MATHS
A dietician wishes to mix together two k...

A dietician wishes to mix together two kinds of food X and Y in such a way that the mixture contains exist 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The vitamin contents of one kg food is given below:

One kg of food X costs Rs.16 and one kg of food Y costs Rs.20. Find the least cost of mixture which will produce the required diet?

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    PRADEEP PUBLICATION|Exercise EXERCISE|135 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|279 Videos
  • MATRICES

    PRADEEP PUBLICATION|Exercise EXERCISE|335 Videos

Similar Questions

Explore conceptually related problems

A dietician wishes to mix together two kinds of food X and Y in such a way that the mixture contains at least 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The vitamin contents of one kg food is given below: One kg of food X costs Rs 16 and one kg of food Y costs Rs 20. Find the least cost of the mixture which will produce the required diet?

A dietician wishes to mix together two kinds of food X and Y in such a way that the mixture contains at least 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The vitamin contents of one kg food is given below: One kg of food X costs Rs 16 and one kg of food Y costs Rs 20. Find the least cost of the mixture which will produce the required diet?

Write one function and two sources of vitamin C.

A dietician wishes to mix two types of food in such a way that the vitamin contents of the mixture contains atleast 8 units of vitamin A and 10 units of vitamin C. Food I contains two units/kg of vitamin A and one unit /kg of vitamin C while Food II contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It cost Rs 5 per kg to purchase Food I and Rs 7 per kg to purchase food II. Formulate the problem for minimum of such a mixture. Formulate tha above as a LPP and solve it graphically.

Write two functions of vitamin-C.

Write two functions of vitamin-A.

Write two functions of vitamin-A.

name two sources of vitamin B1?

A dietician wishes to mix two types of foods in such a way that vitamin contents of the mixture contain atleast 8 units of vitamin A and 10 units of vitamin C. Food ‘I’ contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food ‘II’ contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs Rs 50 per kg to purchase Food ‘I’ and Rs 70 per kg to purchase Food ‘II’. Formulate this problem as a linear programming problem to minimise the cost of such a mixture.

PRADEEP PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. (Diet problem)A dietician has to develop a special diet using two food...

    Text Solution

    |

  2. A farmer mixes two brands P and Q of cattle feed. Brand P, costing Rs ...

    Text Solution

    |

  3. A dietician wishes to mix together two kinds of food X and Y in such a...

    Text Solution

    |

  4. A manufacture make two types of toys A and B. three machines are neede...

    Text Solution

    |

  5. An aeroplane can carry maximum of 200 passengers, A profit of ₹ 400 is...

    Text Solution

    |

  6. Two godowns A and B have grain capacity of 100 quintals and 50 quintal...

    Text Solution

    |

  7. An oil company has two depots A and B with capacities of 7000 l and 40...

    Text Solution

    |

  8. A fruit grower can use two types of fertilizer in his garden, brand P ...

    Text Solution

    |

  9. A fruit grower can use two types of fertilizer in his garden, brand P ...

    Text Solution

    |

  10. A toy company manufactures two types of dolls, A and B. Market tests a...

    Text Solution

    |

  11. Fill ups In an LPP, the conditions xge0, yge0 are called…………..constrai...

    Text Solution

    |

  12. In a LPP, the linear function which has to be maximised or minimised i...

    Text Solution

    |

  13. The common region determined by all the linear constraints of a LPP is...

    Text Solution

    |

  14. Fill ups If the feasible region for an LPP is unbounded, then the maxi...

    Text Solution

    |

  15. The feasible region for no. LPP is always a .......... polygon.

    Text Solution

    |

  16. Fill ups In an LPP, the optimum value of the objective funciton is alw...

    Text Solution

    |

  17. In a LPP, the linear inequalities or restrictions on the variables are...

    Text Solution

    |

  18. Fill ups In an LPP, the minimum value of the objective function Z=ax+b...

    Text Solution

    |

  19. A corner point of a feasible region is a point I the region which is t...

    Text Solution

    |

  20. In a LPP, the objective function is always ...........

    Text Solution

    |