Home
Class 12
MATHS
The minimum value of z = 2x + 4y subject...

The minimum value of z = 2x + 4y subject to constraints `x+2y ge 10, 3x+y ge 10, x ge 0, y ge 0` is ………..

A

20

B

40

C

Not exists

D

30

Text Solution

Verified by Experts

The correct Answer is:
A
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

x ge 3, y ge 2

The maximum value of Z = x + 4y subject to the constraints 3x+6y le 6, 4x+8y ge 16, x ge 0, y ge 0 is ………

The maximum value of Z = x + 3y subject to the constraints 2x+y le 20, x+2y le 20, x ge 0, y ge 0 is ……….

Find the minimum value of Z = -3x + 4y, subject to the constraints x+2y le 8, 3x+2y le 12, x ge 0, y ge 0 .

x-2y le 3, 3x+4y ge 12, x ge 0, y ge 1

The point at which the maximum value of Z = 3x + 2y subject to the constraints x+2y le 2, x ge 0, y ge 0 is ……….

Find the maximum and minimum value of Z = x + 2y, subject to the constraints x+2y ge 100, 2x-y le 0, 2x+y le 200, x, y ge 0 .

The maximum value of Z = 3x + 4y subject to constraints x + y le 4, x ge 0, y ge 0 is _________

Find the maximum value of Z = 4x + y subject to the constraints 2x+y le 23, x ge 0, y ge 0 is ……….

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

KUMAR PRAKASHAN-LINEAR PROGRAMMING-MULTIPLE CHOICE QUESTIONS
  1. The following five inequalities form the feasible region. 2x-y le 8, x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. The constraints -x+y le 1, -x+3y le 9, x ge 0, y ge 0 defines on ………

    Text Solution

    |

  10. The solution set of the constraints 2x+3y le 6, 5x+3y le 15" and "x ge...

    Text Solution

    |

  11. The solution set of the constraints 2x+3y le 6, x+4y le 4" and "x ge 0...

    Text Solution

    |

  12. The region formed by the inequalities 2x+3y-5 le 0, 4x-3y+2 le 0" and ...

    Text Solution

    |

  13. A wholesale dealer wants to starts the business with Rs. 2,40,000. The...

    Text Solution

    |

  14. The corner points of the bounded feasible region are (0, 0), (2, 0), (...

    Text Solution

    |

  15. The production of item A is x and the production of item B is y. If th...

    Text Solution

    |

  16. The corner points of the bounded feasible region are (60, 0), (120, 0)...

    Text Solution

    |

  17. The minimum value of z = 2x + 4y subject to constraints x+2y ge 10, 3x...

    Text Solution

    |

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

    Text Solution

    |

  19. The vertices of the feasible region determined by some linear constrai...

    Text Solution

    |

  20. If the vertices of a feasible region are O(0, 0), A(10, 0), B(0, 20), ...

    Text Solution

    |