Home
Class 12
MATHS
Every gram of wheat provides 0.1 g of pr...

Every gram of wheat provides 0.1 g of protien and 0.25 g of carbohydrates. The corresponding values for rice are 0.05 g and 0.5 g respectively. Wheat costs Rs 4 per kg and rice Rs 6 per kg. The minimum daily requirements of protien 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 maximum daily requirements of protien and carbohydrates at minimum cost? Frame a LPP and solve it graphically.

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos
  • INVERSE-TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|111 Videos
  • MATRICES

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos

Similar Questions

Explore conceptually related problems

What is G_0 ?

Express in kg: 200g

The horizontal and vertical components of earth's magnetic field at a place are 0.22 G and 0.38G respectively. Calculate the angle of dip.

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

Equal volumes of two solutions contain 50 g of sodium chloride and 50 g of potassium chloride respectively. Are their molarities equal ?

Food X contains 6 units of vitamin A per g and 7 units of vitamin B per g and costs Rs 2 per g. Food Y contains 8 units of vitamin A per g and food Y contains 8 units of vitamin A per g and 12 units of vitamin B per g and costs Rs 2.50 per g. The daily minimum requirement of vitamin A and vitamin B are 100 units and 120 uniys respectively. Formulate the above as a LPP to minimize the cost.

MODERN PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. Every gram of wheat provides 0.1 g of protien and 0.25 g of carbohydra...

    Text Solution

    |

  2. Draw the graph of the following LPP: 3x+yle17, xge0,yge0.

    Text Solution

    |

  3. Find the solution set of the system of linear contraints : x+yle6, xge...

    Text Solution

    |

  4. Solve the following systems of linear inequalities graphically 3x+4yle...

    Text Solution

    |

  5. Draw the diagrams of the solutions sets of the following linear constr...

    Text Solution

    |

  6. Draw the diagram of the solution sets of the following linear constrai...

    Text Solution

    |

  7. Verity that the solution set of the following constraints is empty : ...

    Text Solution

    |

  8. Verify that the solution set of the following linear constraints : x-2...

    Text Solution

    |

  9. A dietician wishes to mix two types of foods in such a way that vitami...

    Text Solution

    |

  10. Find the first and common difference of AP whose third term is 26 and ...

    Text Solution

    |

  11. A furniture firm manufactues chairs and tables, each requairing the us...

    Text Solution

    |

  12. Maximize Z=x+2y subject to : x+yge5, xge0,yge0

    Text Solution

    |

  13. Maximize Z=2x+3y subject to : x+2yle6, xge4, yge0

    Text Solution

    |

  14. Maximize Z=4x+y subject to : x+yle50, x,yge0

    Text Solution

    |

  15. Maximize Z=x+2y subject to : x+yge5, xge0,yge0

    Text Solution

    |

  16. Solve the following linear programming problems graphically Minimise...

    Text Solution

    |

  17. Solve the following LPP graphically : Maximize Z=10x+7y subject to 3x+...

    Text Solution

    |

  18. Solve the following LPP graphically : Maximize Z=4x+y subject to x+yle...

    Text Solution

    |

  19. Solve the following LPP graphically : Maximize Z=3x+2y subject to x+2y...

    Text Solution

    |

  20. Solve the following LPP graphically : Maximize Z=13x+3y subject to x+y...

    Text Solution

    |

  21. Solve the following LPP graphically : Maximize Z=3x+5y subject to x+yl...

    Text Solution

    |