Home
Class 12
MATHS
A diet is to contain atleast 80 units of...

A diet is to contain atleast 80 units of vitamin A and 100 units of minerals.Two foods F1 and F2 are available.Food F1 costs Rs 4 per unit food and F2 costs Rs 6 per unit.One unit of food F1 contains 3 units of vitamin A and 4 units of minerals.One unit of food F2 contains 6 unit of of vitamin A and 3 units of minerals.Formulate this as a linear programming problem.Find the minimum costs for diet that consists of misture of these two foods and also meets the minimal nutritional requirements.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|80 Videos

  • MATRICES

    V PUBLICATION|Exercise QUESTION BANK|100 Videos

Similar Questions

Explore conceptually related problems

Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain atleast of 8 units of the vitamine A and 11 units of vitamine B. Food P costs Rs . (60)/(kg) and Food Q costs Rs. (80)/(kg) . Food P contains 3 (units)/(kg) of vitamine A and 5 (units)/(kg) of vitamine B. While food Q contains 4 (unit)/(kg) of vitamine A and 2 (unit)/(kg) of vitamine B. Determine the minimum cost of the mixture.

Food X contains 6 units of vitamins A and 7 units of vitamins B per gram and it costs 12 paise per gram.Food Y contains 8 units of vitamin A and 12 units of vitamins B per gram and it costs 20 paise per gram.Daily minimum requiremrnts of vitamin A and vitamin B are 100 units and 120 units respectively.Formulate the LPP mathematically so that the cost is to be minimized.

A dietician wishes to mix two type of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and the 10 units of vitamin C. Food I contains 2 (unit)/(kg) of vitamin A and 1 (unit)/(kg) of vitamin C. Food II contains 1 (unit)/(kg) of vitamin A and 2 (unit)/(kg) of vitamin C. It costs Rs. (50)/(kg) to purchase food I and Rs. (70)/(kg) to purchase food II. Formulate this problem as a linear programming problem to minimise the cost of such a mixture ?

V PUBLICATION-LINEAR PROGRAMMING-QUESTION BANK
  1. A factory manufactures two types of screws, A and B. Each type of scre...

    Text Solution

    |

  2. A cottage industry manufactures pedestal lamps and wooden shades, each...

    Text Solution

    |

  3. A company manufactures two types of rovelty souvenirs made of plywood....

    Text Solution

    |

  4. A merchant plans to sell twó types of personal computers - a desktop m...

    Text Solution

    |

  5. A diet is to contain atleast 80 units of vitamin A and 100 units of mi...

    Text Solution

    |

  6. The corner points of the feasible region determined by the following s...

    Text Solution

    |

  7. (Manufacturing problem) A manufacturer has three machines I , II and I...

    Text Solution

    |

  8. How many packets of each food should be used to maximise the amount of...

    Text Solution

    |

  9. An aeroplane can carry a maximum of 200 passengers. A profit of Rs 100...

    Text Solution

    |

  10. Two godowns A and B have grains capacity of 100 quintals and 50 quinta...

    Text Solution

    |

  11. If the grower wants to maximise the amount of nitrogen added to the ga...

    Text Solution

    |

  12. A dealer wishes to purchase a number of fans and sewing machines. He h...

    Text Solution

    |

  13. A furniture dealer deals only in two items - tables and chairs. He has...

    Text Solution

    |

  14. A company produces two types of goods, A and B, that require gold and ...

    Text Solution

    |

  15. If a young man rides his motor cycle at 25 k . p . h, he has to spend ...

    Text Solution

    |

  16. A firm deals with two kinds of fruit juices-pineapple and the, orange ...

    Text Solution

    |

  17. A firm manufactures two types of products A and B and sells them at a ...

    Text Solution

    |

  18. A manufacturer makes two types of tea cups, say A and B. Three machine...

    Text Solution

    |

  19. A man owns a field of area 1,000 sq.m. He wants to plant fruit trees i...

    Text Solution

    |

  20. A furniture dealer sells only tables and chairs.He has Rs.12,000 to in...

    Text Solution

    |