Home
Class 12
MATHS
Determine graphically the minimum value ...

Determine graphically the minimum value of the objective function z = - 50x + 20 y, subject to he constraints.
`2x - y ge - 5`
`3x + y ge 3`
`2x - 3y le 12`
`x ge 0, y ge 0`

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    OSWAAL PUBLICATION|Exercise Long Answer Type Questions-lI|26 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    OSWAAL PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS - II|43 Videos
  • MATRICES

    OSWAAL PUBLICATION|Exercise ELEMENTARY OPERATIONS OR TRANSFORMATION OF A MATRIX ( Long Answer Type Questions- II )|3 Videos

Similar Questions

Explore conceptually related problems

The minimum value of the linear objective function x = 5x + 2y subjected to 10x + 2y ge 20, 5x + 5y ge 30, x ge 0 , y ge 0 is

The maximum value of linear objective function z = 40x + 50y subjected to 3x + y le 9, x + 2y lt 8, x ge 0, y ge 0 is

Minimize Z = - x + 2y, subject to constraints are x ge3, x + y ge 5 , x + 2y ge 6 " and " x , y ge 0 .

Maximize Z = x + y, subject to constraints are x - y le - 1, - x + y le 0 " and " x, y ge 0 .

Maximize Z = 5x + 3y, subject to constraints are 3x + 5y le 15 , 5x + 2y le 10 , x ge 0 " and " y ge 0 .

Maximize Z = 3x + 4y , subject to the constraints are x + y le 4, x ge 0 " and " y ge 0 .

Minimise and Maximise Z = x + 2y, subject to constraints are x + 2y ge 100, 2x - y le 0, 2x + y le 200 " and " x,y ge 0 .

Maximize and Minimize Z = 5x + 10y , subject to constraints are x + 2y le 120 , x + y ge 60, x - 2y ge 0 " and " x, y ge 0 .

Maximize Z = 3x + 2y, subject to constraints are x + 2y le 10, 3x + y le 15, " and " x , y ge 0 .

Maximize Z = 3x + 5y, subject to constraints are x + 3y le 3, x + y le 2 " and " x ,y ge 0 .

OSWAAL PUBLICATION-LINEAR PROGRAMMING -Long Answer Type Questions-lI
  1. (Manufacturing problem) A manufacturing company makes two models A ...

    Text Solution

    |

  2. A faniture dealer deals in only two itmes - tables and chairs. He has ...

    Text Solution

    |

  3. Minimise and Maximise Z = x + 2y, subject to constraints are x + 2...

    Text Solution

    |

  4. Minimise and Maximise Z = x + 2y, subject to constraints are x + 2...

    Text Solution

    |

  5. Determine graphically the minimum value of the objective function z = ...

    Text Solution

    |

  6. A dealer in rural area wishes to purchase a number of sewing machin...

    Text Solution

    |

  7. A cottage industry manufactures pedestal lamps and wooden shades, e...

    Text Solution

    |

  8. A company manufactures two types of sweaters :type A sweaters type B.I...

    Text Solution

    |

  9. A dealer deals in two items A and B He has Rs. 15000 to invest and a s...

    Text Solution

    |

  10. A dietician wishes to mix two types of foods in such a way that the...

    Text Solution

    |

  11. A company produces soft drinks that has a contract which requires t...

    Text Solution

    |

  12. A factory makes tennis rackets and cricket bats. A tennis racket ta...

    Text Solution

    |

  13. A merchant plans to sell two types of personal computers a desktop...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. A company sells two different products A and B. the two products are p...

    Text Solution

    |

  17. A dealer deals in two items A and B He has Rs. 15000 to invest and a s...

    Text Solution

    |

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

    Text Solution

    |

  19. A manufacturer considers that men and women workers are equally effici...

    Text Solution

    |

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

    Text Solution

    |