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

The corner points of the feasible region determined by some inequality are (0, 10), (5, 5), (15, 15), (0, 20). Let Z = px + qy, where `p, q gt 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

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 12|14 Videos
  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos
  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS|44 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

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

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, q gt 0 . Condition on p and q, so that the maximum of Z occurs at (3, 0) and (1, 1) is ……….

The vertices of the feasible region determined by some linear constraints are (0, 2), (1, 1), (3, 3), (1, 5). Let Z = px + qy where p, q gt 0. The condition on p and q so that the maximum of Z occurs at both the points (3, 3) and (1, 5) is ……..

The vertices of the feasible region determined by some linear constraints are (0,2), (1,1),(3,3), (1,5) . Let Z=px + qy where p,q gt 0 . The condition on p and q so that the maximum of Z occurs at both the points (3, 3) and (1, 5) is .......

The correct points of the feasible region determined by the following system of linear inequalities, 2x+y le 10, x+3y le 15, x, y ge 0 , are (0, 0), (5, 0), (3, 4) and (0, 5). Let Z = px + qy, where p, q gt 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 region determined by the following sytem of linear inequalities: 2x+yle10, x+3yle15, x, yge0 are (0,0),(5,0),(3,4) and (0,5). Let Z=px+qy where p,qge0 . 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 region are (0, 0), (16, 0), (8, 12), (0, 20). The maximum value of the objective function Z = 22x + 18y is …………

The corner points of the feasible region are (0, 0), (16, 0), (8, 12), (0, 20). The maximum and minimum values of Z = 22x + 18y are m and n respectively then m + n = ………

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

KUMAR PRAKASHAN-LINEAR PROGRAMMING-MULTIPLE CHOICE QUESTIONS
  1. Objective function of a LPP is …………

    Text Solution

    |

  2. The maximum value of Z = x + 4y subject to the constraints 3x+6y le 6,...

    Text Solution

    |

  3. The corner points of the feasible region determined by some inequality...

    Text Solution

    |

  4. Objective function of a LPP is …………

    Text Solution

    |

  5. The corner points of the feasible region are A(3, 3), B(20, 3), C(20, ...

    Text Solution

    |

  6. Cake-A requires 200g of flour and 25g of fat Cake-B requires 100 g of ...

    Text Solution

    |

  7. The shaded region in the given figure is a graph of ……………

    Text Solution

    |

  8. The point at which the maximum value of Z = 3x + 2y subject to the con...

    Text Solution

    |

  9. The solution of linear programming problem, maximize Z=3x(1)+5x(2) sub...

    Text Solution

    |

  10. The maximum value of Z = x + 3y subject to the constraints 2x+y le 20,...

    Text Solution

    |

  11. The solution set of the constraints x+2y ge 11, 3x+4y le 30, 2x+5y le ...

    Text Solution

    |

  12. The feasible region of the inequality x+y le 1" and "x-y le 1 lies in ...

    Text Solution

    |

  13. The following five inequalities form the feasible region. 2x-y le 8, x...

    Text Solution

    |

  14. The position of the points O(0, 0) and P(2, -1) is ………, in the region ...

    Text Solution

    |

  15. The constraints x+y le 4, 3x+3y ge 18, x ge 0, y ge 0 defines on ………

    Text Solution

    |

  16. The solution set of the constraints x+2y le 2000, x+y le 1500, y le 60...

    Text Solution

    |

  17. Out of the following points, how many points are satisfied the inequal...

    Text Solution

    |

  18. How many points having integer co-ordinates are there in the feasible ...

    Text Solution

    |

  19. z = 30x - 30y + 1800 is a objective function. The corner points of the...

    Text Solution

    |

  20. The corner points of the bounded feasible region are (0, 1), (0, 7), (...

    Text Solution

    |