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), (0, 20). Let Z = px + qy , where `p,q gt 0`. Then, the condition on p and q so that the maximum of Z occurs at both the points (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

    TARGET PUBLICATION|Exercise Competitive Thinking|35 Videos
  • LINEAR PROGRAMMING

    TARGET PUBLICATION|Exercise Evaluation Test|11 Videos
  • LINEAR PROGRAMMING

    TARGET PUBLICATION|Exercise Evaluation Test|11 Videos
  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos
  • MATHEMATICAL LOGIC

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 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) (25,20),(0,30) Let z = px + qy , where p,qgt0 Condition on p and q so that te maximum of z occurs at both the points (25,20 ) and (0,30) is ………

Corner poins of the feasible region determned by the system of linear constrainsts are (0,3), (1,1), and (3,0). Let Z=px+qy. Where p, q lt 0 Condition on p and q, so that the minimum of Z occurs at (3,0) and (1,1) is

The corner points of the feasible region determined by the following system of linear inequalities: 2x+yge10, 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: (a) p=q (b) p=2q (c) p=eq (d) q=3p

For an objective function Z = ax + by," where "a,b gt 0, the corner points of the feasible region determined by a set of constraints (linear inequalities) are (0, 20), (10, 10), (30, 30) and (0, 40). The condition on a and b such that the maximum Z occurs at both the points (30, 30) and (0, 40) is:

For an objective function Z = ax + by, where a, bgt0 , the corner points of the feasible region determined by a set of constraints (linear inequalities) are (0, 20). (10, 10), (30, 30) and (0, 40). The condition on a and b such that the maximum z occurs at both the points (30, 30) and (0, 40) is:

The corner points of the feasible region determined by the system of linear constraints are as shown below: Let Z=px +qy where p,q gt 0 be the objective function. Find the condition on p and q so that the maximum value of Z occurs at B ( 4,10 ) and C (6,8 ) Also mention the number of optimal solutions in this case.

The corner points of the feasible region determined by the system of linear contraints 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.

The corner points of the feasible region of the system of linear inequations x+yge2,x+yle5,x-yge0,x,yge0 are :

The corner points of a feasible region determined by a system of linear inequations are (0, 0), (4,0), (5,2), (2, 2) and (0, 1). If the objective function is Z = x + y, then maximum of Z occurs at:

The corner points of the feasible region of a system of linear inequations are (0, 0), (5, 0), (6,5), (6, 8), (4, 10) and (0,8). If Z = 3x - 4y, then the minimum value of Z occurs at:

TARGET PUBLICATION-LINEAR PROGRAMMING-Critical Thinking
  1. The region represented by 2x+3y-5ge0 and 4x-3y+2ge0 is

    Text Solution

    |

  2. The contraints -x+yle1,-x+3yle9,xge0,yge0 of LLP correspond to

    Text Solution

    |

  3. The position of points O (0,0) and P (2,-2) in the region of graph of ...

    Text Solution

    |

  4. The vertex of common graph of inequalities 2x+yge2 and x-yle3 , is

    Text Solution

    |

  5. The constraints of an LPP are x+yle6,3x+2yge6,xge0 and yge0 Determine ...

    Text Solution

    |

  6. The constraints of an LPP a 5lexle10,5leyle10 Determine the vertices o...

    Text Solution

    |

  7. Which of the following is not a vertex of the feasible region bounded ...

    Text Solution

    |

  8. Maximum value of p=6x+8y subject to 2x+y le 30, x + 2y le 24, x ge ...

    Text Solution

    |

  9. Maximum value of 12x+ 3y subjected to the constraints xge0,yge0,x+yle5...

    Text Solution

    |

  10. Maximise Z=5x+3y Subject to 3x+5yle15, 5x+2yle10,xge0,yge0.

    Text Solution

    |

  11. For the function z = 4x+ 9y to be maximum under the constraints x+5yl...

    Text Solution

    |

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

    Text Solution

    |

  13. A manufacturer produces two types of soaps using two machines A and B ...

    Text Solution

    |

  14. The minimum value of z = 4x+5y subject to the constraints xge30,yge40 ...

    Text Solution

    |

  15. The minimum value of z = 3x + y subject to constraints 2x+3yle6, x+yg...

    Text Solution

    |

  16. The minimum value of z = 6x + 7y subject to 5x+8yle40,3x+yle6,xge0,yg...

    Text Solution

    |

  17. Which of the following statements is correct ?

    Text Solution

    |

  18. The solution for minimizing the function z = x+ y under a LPP with con...

    Text Solution

    |

  19. For the constraint of a linear optimizing function z=x(1)+x(2) , " giv...

    Text Solution

    |

  20. The maximum value of F = 4x + 3y subject to constraints xge0,yge2,2x+...

    Text Solution

    |