Home
Class 12
MATHS
The area of the feasible region for the ...

The area of the feasible region for the following constraints ` 3y +x ge 3, x ge 0, y ge 0 ` will be

A

bounded

B

unbounded

C

convex

D

concave

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LINE

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|127 Videos
  • MATRICES

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|277 Videos

Similar Questions

Explore conceptually related problems

The feasible region of a LPP under the constraints x- y le 1 ,x + y ge 3, x ge 0, y ge 0

The Corner points of feasible region for the inequations , x + y le 5,x + 2y le 6, x ge 0, y ge 0 are

Verify that the solution set of the following constraints is empty : 3x + 4y ge 12, x + 2y le 3, x ge 0, y ge 1 .

2x + y ge 6, x + 2y ge 8, x ge 0, y ge 0

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

the corner points of the feasible region of a system of linear inequalities 3x + 5y le 15, 5x + 2y ge 10, x ge 0, y ge 0 , are:

The minimum value of the objective function Z=2x+10y for linear constraints x ge 0 , y ge 0, x -y ge 0, x -5y le -5 is

Maximum of P=5x+7y subject to the constraints : 3x+2y le 12, 2x+3y le 13, x ge0, y ge0 is

NIKITA PUBLICATION-LINEAR PROGRAMMING-MCQs
  1. The constraints x-yge0,-x+3yle3,xge0,yge0 and the objective function z...

    Text Solution

    |

  2. The constraints -x+yle1,-x+3yle9,xge0,yge0 defines

    Text Solution

    |

  3. The area of the feasible region for the following constraints 3y +x g...

    Text Solution

    |

  4. The constraints x+yge8,3x+5yle15,xge0,yge0 and the objective function ...

    Text Solution

    |

  5. The constraints x+yle8,2x+3yle12,xge0,yge0 and the objective function ...

    Text Solution

    |

  6. The constraints x+2yle2,2x+4yge8,xge0,yge0 and the objective function ...

    Text Solution

    |

  7. The constraints x-yge0,-2x+yge2,xge2,xge0,yge0 and the objective funct...

    Text Solution

    |

  8. Solution set of inequalities x-2yge0,-2x-y+2le0,xge0,yge0

    Text Solution

    |

  9. The region represented by the inequations 2x+3yle18,x+yge10,xge0,yle0 ...

    Text Solution

    |

  10. Shaded region of the constraints x+yle5,0lexle4,0leyle2 is

    Text Solution

    |

  11. Shaded, region of the constraints 4x+3yle12,-x+yle2,xge0,yge0 is

    Text Solution

    |

  12. Shaded, region of the constraints x+yge5,2x+3yle18,4x+3yle24,xge0,yge0...

    Text Solution

    |

  13. Shaded, region of the constraints 10x+2yge20,x+yge6 is

    Text Solution

    |

  14. Shaded,region of the constraints 4x+yge4,x+3yge6,x+yge3,xge0,yge0 is

    Text Solution

    |

  15. The solution set of the inequation 2x+y gt 5 is

    Text Solution

    |

  16. The solution set of the inequation x+2yge3 is

    Text Solution

    |

  17. The solution set of 3x+2yle6 is

    Text Solution

    |

  18. The solution set of the inequations xle4,x-yge0,3x+yge0

    Text Solution

    |

  19. The lines 5x+4yge20,xle6,yle4,xge0,yge0 form

    Text Solution

    |

  20. The common region represented by inequalities yle2,x+yle3,-2x+yle1,xge...

    Text Solution

    |