Home
Class 12
MATHS
The corner points of the feasible region...

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 :

A

p=q

B

p=2q

C

q=2p

D

q=3p

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 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

Find the area of the triangle formed by the points P(-1.5, 3), Q(6,-2) and R(-3, 4).

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

    |