Home
Class 12
MATHS
(Diet Problem)Every gram of wheat provid...

(Diet Problem)Every gram of wheat provides 0.1 g of protein and 0.25 g of carbohydrates. The corresponding values for rice are 0.05 g and 0.5 g respectively.Wheat costs₹ 4 per/kg and rice ₹ 6 per/kg.The minimum daily requirements of protein and carbohydrates for an average child are 50 g and 200 g respectively.In what quantities should wheat and rice be mixed in the daily diet so as to provide the maximu, daily requirements of protein and carbohydrates at minimum cost?Frame an L.P.P and solve it graphically.

Text Solution

Verified by Experts

The correct Answer is:
Minimum cost is ₹ 2.80 when x = 400 g and y = 200 g.
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE 12(a) (Short Answer Type Questions)|10 Videos
  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE 12(b) (Short Answer Type Questions)|5 Videos
  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise FAQs|9 Videos
  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos
  • MATRICES

    MODERN PUBLICATION|Exercise CHAPTER TEST (3)|12 Videos

Similar Questions

Explore conceptually related problems

In wheat and rice :

The energy content in Kcal/g of carbohydrate : protein : triglycerol respectively is approximately in the ratio of

Cost of 5 kg of wheat is Rs. 30.50. What quantity of wheat can be purchased in Rs. 61 ?

Balanced diet should contain 12% of proteins, 25% of fats and 63% of carbohydrates. If a child needs 2600 calories in this food daily, find in calories the amount of each of these in his daily food intake.

Balanced diet should contain 12% of proteins, 25% of fats and 63% of carbohydrates. If a child needs 2600 calories in his food daily, find in calories the amount of each of these in his daily food intake.

MODERN PUBLICATION-LINEAR PROGRAMMING -(FAQ)
  1. A dealer in rural area wishes to purchase a number of sewing machin...

    Text Solution

    |

  2. If a young man rides his motorcycle at 25 km/hr, he has to spend 2 per...

    Text Solution

    |

  3. (Diet Problem)Every gram of wheat provides 0.1 g of protein and 0.25 g...

    Text Solution

    |

  4. A small firm manufactures gold rings and chains. The total number o...

    Text Solution

    |

  5. A manufacturer produces two products A and B. Both the products are ...

    Text Solution

    |

  6. Two tailors A and B earn ₹150 and ₹200 per day respectively. A can sti...

    Text Solution

    |

  7. (Allocation Problem)A farmer has a supply of chemical fertilizer and t...

    Text Solution

    |

  8. A manufacturer makes two types of toys A and B.Three machines are need...

    Text Solution

    |

  9. (Manufacturing Problem) A manufacturer considers that men and women wo...

    Text Solution

    |

  10. (Allocation problem) A cooperative society of farmers has 50 hectar...

    Text Solution

    |

  11. A diet for a sick person must contain at least 4000 units of vitamins,...

    Text Solution

    |

  12. A factory manufactures two types of screws, A and B. Each type of scre...

    Text Solution

    |

  13. A farmer has a supply of chemical fertilizer of type A, which contains...

    Text Solution

    |

  14. A small manufacturer has employed 5 skilled men and 10 semi - skilled ...

    Text Solution

    |

  15. (Diet problem): A dietician wishes to mix two types of foods in suc...

    Text Solution

    |

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

    Text Solution

    |

  17. A retired person wants to invest anamount of 50000. His broker recomme...

    Text Solution

    |

  18. (Transportation Problem) A catering agency has two kitchens to prepare...

    Text Solution

    |