Home
Class 12
MATHS
Solve the following linear programming p...

Solve the following linear programming problems graphically :
Minimise : Z = 3x + 2y subject to the constraints `x+y le 8, 3x+5y ge 15, x ge 0, y ge 0`

Text Solution

Verified by Experts

The correct Answer is:
Minimum Z = 6, at (0, 3).
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 12|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos

Similar Questions

Explore conceptually related problems

Solve the following linear programming problems graphically : Minimise : Z = 3x + 5y subject to constraints -2x+y le 4, x+y ge 3, x-2y le 2, x, y ge 0 .

Solve the following linear programming problems graphically : Minimise : Z = 20x + 10y subject to the constraints x+2y le 40, 3x+y ge 30, 4x+3y ge 60, x, y ge 0 .

Solve the following linear programming problems graphically : Maximize : Z = x + 170y subject to the constraints 3x+2y le 6, x+4y le 16, x, y ge 0 .

Solve the following linear programming problems graphically : Minimise : Z = 18x +10y subject to constraints 4x+y ge 20, 2x+3y ge 30, x, y ge 0 .

Solve the following linear programming problems graphically : Maximise : Z = 10x + 6y subject to constraints 3x+y le 12, 2x+5y le 34, x, y ge 0

Solve the following Linear Programming Problems graphically : Maximise Z=3x+4y subject to the constraints : x+y le 4 , x ge 0 , y ge 0

Solve the following linear programming problems graphically : Maximise Z = 50x + 15y subject to constraints 5x+y le 100, x+y le 60, x, y ge 0 .

Solve the following linear programming problems graphically : Maximise : Z = 5x +7y subject to constraints x+y le 4, 3x+8y le 24, 10x+7y le 35, x, y ge 0 .

Solve the following linear programming problems graphically : Maximize : Z = 100x + 170y subject to the constraints 3x+2y le 3600, x+4y le 1800, x, y ge 0 .

Minimise z = 13x - 15y subject to the constraints : x+y le 7, 2x-3y+6 ge 0, x ge 0, y ge 0

KUMAR PRAKASHAN-LINEAR PROGRAMMING-PRACTICE WORK
  1. Solve the following linear programming problems graphically : Minimi...

    Text Solution

    |

  2. Solve the following linear programming problems graphically : Minimi...

    Text Solution

    |

  3. Solve the following linear programming problems graphically : Maximi...

    Text Solution

    |

  4. Solve the following linear programming problems graphically : Minimi...

    Text Solution

    |

  5. Solve the following linear programming problems graphically : Maximi...

    Text Solution

    |

  6. Solve the following linear programming problems graphically : Maximi...

    Text Solution

    |

  7. Solve the following linear programming problems graphically : Minimi...

    Text Solution

    |

  8. A dealer wants to purchase 5 litres oil tin and 1 kg ghee tin. He has ...

    Text Solution

    |

  9. An aeroplane can carry a maximum of 200 passengers. A profit of Rs. 10...

    Text Solution

    |

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

    Text Solution

    |

  11. One kind of cake requires 300 gr of flour and 15 gr of fat and another...

    Text Solution

    |

  12. A factory owner purchase two types of machines A and B for his factory...

    Text Solution

    |

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

    Text Solution

    |

  14. Two tailors, A and B earn Rs. 15 and Rs. 20 per day respectively. 'A' ...

    Text Solution

    |

  15. A publisher sells a hard cover edition of a text book for Rs. 72 and a...

    Text Solution

    |

  16. Every gram of wheat provides 0.1 gm of proteins and 0.25 gm of carbohy...

    Text Solution

    |

  17. A manufacturer maks two types A and B of tea cups. Three machines are ...

    Text Solution

    |

  18. A medical company has factories at two places, A and B from these plac...

    Text Solution

    |

  19. Kellogg is a new cereal formed of a mixture of bran and rice that cont...

    Text Solution

    |

  20. The brick manufacturer has two depot A and B with stocks of 30,000 and...

    Text Solution

    |