Home
Class 12
MATHS
Corner points of the feasible region det...

Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px+qy, where `p, qgt 0`. Condition on p and q so that the minimum of Z occurs at (3,0) and (1, 1) is :

A

p=2q

B

`p=q/2`

C

p=3q

D

p=q

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    PRADEEP PUBLICATION|Exercise EXERCISE|135 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|279 Videos
  • MATRICES

    PRADEEP PUBLICATION|Exercise EXERCISE|335 Videos

Similar Questions

Explore conceptually related problems

The corner points of the feasible region determined by the system of linear constraints are : (0,10),(5,5),(15,15) and (0,20). Let Z=px+qy , where p,q>0 . Condition on p and q so that the maximum of Z occurs at both (15,15) and (0,20) is :

The corner points of the feasible region determined by the following system of linear inequalities: : 2x + y le 10, x + 3y le 15, x, yge0 are (0, 0), (5,0), (3, 4) and (0, 5) . Let Z = px + qy , where p, q > 0 , Condition on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is:

The corner points of the feasible regon determined by the system of linear inequalities constrains are (0,0),(0,40),(20,40),(60,0). The objective function is z=4x+3y. Compare the quantity in column A and colum B.

The area of the triangle formed by the points P(0,1),Q(0,5) and R(3,4) is

If the three points (3q,0), (0, 3p) and (1, 1) are collinear, then which one is true ?

PRADEEP PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. Fill ups If the feasible region for an LPP is ……………..then the optimal ...

    Text Solution

    |

  2. Maximum value of the objective function Z= ax+by in a LPP always occur...

    Text Solution

    |

  3. True or false If the minimum value of the objective function f=4x+6y i...

    Text Solution

    |

  4. True or false If the feasible region R for an LPP is bounded, then the...

    Text Solution

    |

  5. True or false In an LPP the optimal value of the objective function Z=...

    Text Solution

    |

  6. True or false The region represented by {(x,y):x^2+y^2le9}cap{(x,y):x^...

    Text Solution

    |

  7. True or false In an LPP, if region is one of the correct points of the...

    Text Solution

    |

  8. Match the statements given in column I with those give in column II.

    Text Solution

    |

  9. State whether the region represented by xge0, yge0 is convex or not.

    Text Solution

    |

  10. In a LPP, the objective function is always ...........

    Text Solution

    |

  11. The corner points of the feasible region determined by the system of l...

    Text Solution

    |

  12. Match the following : .

    Text Solution

    |

  13. The feasible region for an LPP is shown shaded in the figure 12.83. Le...

    Text Solution

    |

  14. The value of 12C3 is equal to:

    Text Solution

    |

  15. In solving the L.P.P.:"minimize if f=6x+10y subjects to constrains xge...

    Text Solution

    |

  16. Match the following : .

    Text Solution

    |

  17. Corner points of the feasible region determined by the system of linea...

    Text Solution

    |

  18. The region represented by the inequalitites xge6, yge2, 2x+yle10, xge0...

    Text Solution

    |

  19. The feasible region for an LPP is shown shaded in the figure 12.83. Le...

    Text Solution

    |

  20. Corner points of the feasible region for an LPP are (0,2), (3,0), (6,0...

    Text Solution

    |