Home
Class 12
MATHS
For the following linear programming pro...

For the following linear programming problem minimize `Z=4x+6y` subject to the constraints `2x+3yge6,x+yle8,yge1,xge0`, the solution is

A

(0,2) and (1,1)

B

`(0,2) and ((3)/(2),1)`

C

(0,2) and (1,6)

D

(0,2) and (1,5)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    TARGET PUBLICATION|Exercise Evaluation Test|11 Videos

  • LINEAR PROGRAMMING

    TARGET PUBLICATION|Exercise Critical Thinking|28 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

  • MATHEMATICAL LOGIC

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

Similar Questions

Explore conceptually related problems

Maximise Z=-x+2y Subject to the constraints xge3, x+3yge5,x+2yge6,yge0

Maximise Z=3x+4y Subject to the constraints x+yle4,xge0,yge0

maximize z=60x+15y, subject to the constraints x+yle50,3x+yle90,x,yge0.

The maximum value of z = 4x +2y subject to the constraints 2x+3yle18,x+yge10,x,yge0 is

Maximize Z=4x+9y, subject to the constraints x ge0,yge0,x+5yle200, 2x+3yle134,

Minimize Z=2x+3y. subjeft ot the constraints xge0,yge0,x+2yge1 and x+2yle10.

Solve the following linear programming problem graphically: Minimize : z=100x+50y Subject to constraints : x+2yge10 3x+4yge24 xge0 yge0

The minimum value of z = 3x + y subject to constraints 2x+3yle6, x+yge1,xge1,xge0,yge0 is

Solve the following linear programming problem graphically: Minimize: z=x+3y Subject to: x+yle8 3x+5yge15 xge0 yge0

Solve the following linear programming problem graphically. Minimize :z=2x+3y-1 Subject to: x-yge0 -x+2yge2 xge3 yle4 yge0

TARGET PUBLICATION-LINEAR PROGRAMMING-Competitive Thinking
  1. The maximum value of 2x+y subject to 3x+5yle26and5x+3yle30,xge0,yge0...

    Text Solution

    |

  2. By graphical method, the solutions of linear programming problem maxim...

    Text Solution

    |

  3. The maximum value of 4x +5y subject to the constraints x+yle20,x+2yle...

    Text Solution

    |

  4. Max value of z equal 3x + 2y subject to x+yle3,xle2,-2x+yle1,xge0,yge...

    Text Solution

    |

  5. The point at which , the maximum value of (3x+2y) subject to the const...

    Text Solution

    |

  6. The point which provides the solution of the linear programming proble...

    Text Solution

    |

  7. The points which provides the solution to the linear programming probl...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The minimum value of z=2z(1)+3x-(2) subjected to the constraints 2x(1)...

    Text Solution

    |

  11. The minimum value of the objective function Z=2x+10y for linear const...

    Text Solution

    |

  12. For the following linear programming problem minimize Z=4x+6y subject ...

    Text Solution

    |

  13. The co-ordinates of the point for minimum value z = 7x - 8y subject ...

    Text Solution

    |

  14. Minimise and Maximise Z=5x+10y Subject to x+2yle120,x+yge60,x-2yge0,...

    Text Solution

    |

  15. The objective function, z=4x(1)+5x(2), subject to 2x(1)+x(2)ge7,2x(1)+...

    Text Solution

    |

  16. The objective function z = x1 + x2, subject to x1 + x2 leq 10,-2x1 + 3...

    Text Solution

    |

  17. Minimize z = 30x+20y subject to x+yle8,x+2yge4,6x+4yge12,xge,yge0

    Text Solution

    |

  18. The maximum value of z = 4x +3y subject to the constraints 3x+2yge160...

    Text Solution

    |

  19. For the LPP , maximize z = x + 4y subject to the constraints x+2yle2,...

    Text Solution

    |

  20. The maximum value of z = 4x +2y subject to the constraints 2x+3yle18,x...

    Text Solution

    |