Home
Class 12
MATHS
Minimize and Maximize Z = 5x + 2y , subj...

Minimize and Maximize `Z = 5x + 2y `, subject to the following constraints:
`x - 2y le 2, 3x + 2y le 12, -3x + 2y le 3, x ge 0, y ge 0`.

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Fill in the blanks|9 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Question|2 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/ REASONS) |3 Videos

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Miscellaneous exercise|3 Videos

Similar Questions

Explore conceptually related problems

3x + 2y le 14, 3x + y le 9, x,y ge 0

Z =3x + 2y x + 2y le 10, 3x + y le 15, x ge 0, y ge 0

Z = -3x + 4y x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0

Maximize Z = 5x + 3y subject to the constraints: 3x + 5y le 15, 5x + 2y le 10, x ge 0, y ge 0

Z = -3x + 4y x + 2y le 8, 3x + 2y le 12, x ge 0 , y ge 0 .

Maximize: Z = -x + 2y , subject to the constraints: x ge 3, x + y ge 5, x + 2y ge 6, y ge 0 .

Maximize : Z = x + y ,subject to the constraints: x - y le -1, -x + y le 0, x ge 0, y ge 0

x-2y le 2 , x +y le 3,-2x +y le 4, x ge 0,y ge 0

x+2y le 100,2x +y le 120,x+y le 70 , x ge 0, y ge 0

3x + 4y le 60, x ge 2y , x ge1 , y ge 0

ML KHANNA-LINEAR PROGRAMMING -Practice Exercises
  1. Maximize z = 3x + 2y by graphical method Subject to x + 2y ge 2 x...

    Text Solution

    |

  2. Minimize z = -x + 2y x + y le 6 x - y le 2 and x, y ge 0

    Text Solution

    |

  3. Minimize and Maximize Z = 5x + 2y , subject to the following constrain...

    Text Solution

    |

  4. Minimize z = x + 3y Subject to x + y le 5 2x + y ge 4 x + 5y g...

    Text Solution

    |

  5. Maximize z = -x(1) + 2x(2) Subject to -x(1) + x(2) le 1 -x(1) + ...

    Text Solution

    |

  6. Maximize z = 5x(1) + 3x(2) Subject to 3x(1) + 5x(2) le 15 5x(1) ...

    Text Solution

    |

  7. Maximize z = 7x(1) + 3x(2) by graphical method Subjecto to x(1) + ...

    Text Solution

    |

  8. Maximize z = x(1) + 3x(2) Subject to 3x(1) + 6x(2) le 8 5x(1) + ...

    Text Solution

    |

  9. Minimize z = -x(1) + 2x(2) Subject to -x(1) + 3x(2) le 10 x(1) +...

    Text Solution

    |

  10. The objective function z = 4x + 3y can be maximized subjected to the c...

    Text Solution

    |

  11. The constraints -x(1)+x(2)lt 1, -x(1)+3x(2)le9, x(1), x(2)gt, 0 difine...

    Text Solution

    |

  12. The maximum value of z = 4x +2y subject to the constraints 2x+3yle18,x...

    Text Solution

    |

  13. A firm manufactures two products A and B on which the profit earned pe...

    Text Solution

    |

  14. A factory makes cricket bats and tennis rackets. A cricket bat takes 1...

    Text Solution

    |

  15. A factory makes cricket bats and tennis rackets. A cricket bat takes 1...

    Text Solution

    |

  16. A factory makes cricket bats and tennis rackets. A cricket bat takes 1...

    Text Solution

    |

  17. Solve the problem graphically Maximize 8000 x + 7000 y Subject to...

    Text Solution

    |

  18. A transport company has offices in five localities A, B, C, D and E. S...

    Text Solution

    |

  19. A company owns two coal mines, A and B say. The production in these mi...

    Text Solution

    |

  20. A company owns two coal mines, A and B say. The production in these mi...

    Text Solution

    |