Home
Class 12
MATHS
For the LPP, maximize z = x + 4y subjec...

For the LPP, maximize z = x + 4y subject to the constraints `x + 2y le 2, x +2y ge 8, x, y ge 0`.

A

`Z_(max) = 4`

B

`Z_(max) = 8`

C

`Z_(max) = 16`

D

Has no feasible solution

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST - 2017

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COMMON ENTRANCE TEST -2015

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

For the LPP, maximise z=x+4y subject to the constraints x+2yle2, x+2yge8,x,yge0 .

Maximize Z = 3x + 4y , subject to the constraints are x + y le 4, x ge 0 " and " y ge 0 .

Maximize Z = x + y, subject to constraints are x - y le - 1, - x + y le 0 " and " x, y ge 0 .

Maximize Z = 3x + 2y, subject to constraints are x + 2y le 10, 3x + y le 15, " and " x , y ge 0 .

Maximize Z = 3x + 5y, subject to constraints are x + 3y le 3, x + y le 2 " and " x ,y ge 0 .

Maximize and Minimize Z = 5x + 10y , subject to constraints are x + 2y le 120 , x + y ge 60, x - 2y ge 0 " and " x, y ge 0 .

Minimise and Maximise Z = x + 2y, subject to constraints are x + 2y ge 100, 2x - y le 0, 2x + y le 200 " and " x,y ge 0 .

Minimize and Maximize z=600x+400y Subject to the constraints : x+2y le 12 2x+y le 12 4x+5y ge 21 and xge0,y ge 0 graphical method.

Minimize Z = - x + 2y, subject to constraints are x ge3, x + y ge 5 , x + 2y ge 6 " and " x , y ge 0 .

Solve the following problem graphically Minimise and Maximise z=3x+9y Subject to the constraints: x+3y le 60, x+y ge 10, x le y x ge 0, y ge 0

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2018-QUESTION BANK
  1. The locus represented by xy+yz=0 is

    Text Solution

    |

  2. The feasible region of an Lpp is shown in the figure. If z= 3x+9y, the...

    Text Solution

    |

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

    Text Solution

    |

  4. For the probability distribution given by the standard deviation (sigm...

    Text Solution

    |

  5. A bag contains 17 tickets numbered from 1 to 17. A ticket is drawn at ...

    Text Solution

    |

  6. A flashlight has 10 batteries out of which 4 are dead . If 3 batteries...

    Text Solution

    |

  7. If |x+5| ge 10, then

    Text Solution

    |

  8. Everybody in a room shakes hands with everybody else. The total number...

    Text Solution

    |

  9. The constant term in the expansion of (x^(2)-1/x^(2))^(16) is

    Text Solution

    |

  10. If P(n): "''" 2^(2n)-1 is divisible by k for all n in N"''" is true, ...

    Text Solution

    |

  11. The equation of the line parallel to the line 3x-4y+2=0 and passing th...

    Text Solution

    |

  12. If ((1-i)/(1+i))^(96)=a+ib, then (a,b) is

    Text Solution

    |

  13. The distance between the foci of a hyperbola is 16 and its eccentricit...

    Text Solution

    |

  14. The number of the ways in which 5 girls and 3 boys can be seated in a ...

    Text Solution

    |

  15. If a,b,c are three consevutive terms of an AP and x,y,z are three cons...

    Text Solution

    |

  16. The value of {:(lim),(xrarr0):}(|x|)/x is

    Text Solution

    |

  17. Let f(x) = x - 1/x , then f' (-1) is

    Text Solution

    |

  18. The negation of the statement ' 72 is divisible by 2 and 3' is

    Text Solution

    |

  19. The probability of happening of an event A is 0.5 and that of B is 0.3...

    Text Solution

    |

  20. In a simultaneous throw of a pair of dice, the probability of getting ...

    Text Solution

    |