Home
Class 12
MATHS
The objective function, z=4x(1)+5x(2), s...

The objective function, `z=4x_(1)+5x_(2),` subject to `2x_(1)+x_(2)ge7,2x_(1)+3x_(2)le15,x_(2)le3,x_(1),x_(2)ge0` has minimum value at the point

A

on X-axis

B

on Y-axis

C

at the origin

D

on the line parallel to X-axis

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|277 Videos
  • MHT-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

The objective function Z=4x_(1) +5x_(2) , Subject to 2x_(1) +x_(2) ge 7,2x_(1)+3x_(2) le 15,x_(2)le 3, x_(1),x_(2)ge 0 has minimum value at the point

The objective function Z=x_(1)+x_(2), subject to x_(1) +x_(2) le 10 , - 2x _(1) +3x_(2)le 15, x x_(1) le 6,x_(1),x_(2) ge 0 has maximum value ________ of the feasible region .

The LPP problem Max z=x_(1)+x_(2) such that -2x_(1)+x_(2)le1,x_(1)le2,x_(1)+x_(2)le3 and x_(1),x_(2)ge0 has

Maximize z = -x_(1) + 2x_(2) Subject to -x_(1) + x_(2) le 1 -x_(1) + 2x_(2) le 4 x_(1), x_(2) le 0

Maximize z = 5x_(1) + 3x_(2) Subject to 3x_(1) + 5x_(2) le 15 5x_(1) + 2x_(2) le 10 x_(1), x_(2) ge 0

Maximize z = x_(1) + 3x_(2) Subject to 3x_(1) + 6x_(2) le 8 5x_(1) + 2x_(2) le 10 and x_(1), x_(2) ge 0

For L.P.P. maximize z = 4x_(1) + 2X_(2) subject to 3x_(1) + 2x_(2) ge 9, x_(1) - x_(2) le 3,x_(1) ge 0, x_(2) ge 0 has ……

Minimize z = -x_(1) + 2x_(2) Subject to -x_(1) + 3x_(2) le 10 x_(1) + x_(2) le 6 x_(1) - x_(2) le 2 and x_(1), x_(2) ge 0

The minimum value of z=2x_(1)+3x_(2) subjected to the constraints 2x_(1)+7x_(2)ge22,x_(1)+x_(2)ge6,5x_(1)+x_(2)ge10 and x_(1),x_(2)ge0 , is

NIKITA PUBLICATION-MHT-CET 2017-MCQ
  1. If intsqrt((x-5)/(x-7))dx = A sqrt(x^(2) - 12 x + 35) + log|x-6 +sqr...

    Text Solution

    |

  2. The number of principal solutions of tan2theta=1 is

    Text Solution

    |

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

    Text Solution

    |

  4. If z(1) and z(2) are z-coordinates of the points of trisection of the ...

    Text Solution

    |

  5. The maximum value of f(x)=(logx)/(x)(x ne 0, x ne1) is

    Text Solution

    |

  6. int(0)^(1)xtan^(-1)xdx=

    Text Solution

    |

  7. If c denotes the contradication, then dual of the compound statement ~...

    Text Solution

    |

  8. All parabolas whose axis is the Y-axis.

    Text Solution

    |

  9. int(0)^(3)[x]dx=…, where [x] is greatest integer function.

    Text Solution

    |

  10. The objective function off LPP defined over the convex set attains it ...

    Text Solution

    |

  11. IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] ...

    Text Solution

    |

  12. Find the value of k, if the function f given by : {:(f(x)=[tan((pi)/...

    Text Solution

    |

  13. For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...

    Text Solution

    |

  14. The solution of the differential equation (dy)/(dx)="tan"((y)/(x))+(y)...

    Text Solution

    |

  15. In DeltaABC, if sin^(2)A+sin^(2)B=sin^(2)C and l(AB)=10, then the maxi...

    Text Solution

    |

  16. If x=f(t) and y=g(t) , then write the value of (d^2y)/(dx^2) .

    Text Solution

    |

  17. A r.v. X~B (n, p). If values of mean and variance of X are 18 and 12 r...

    Text Solution

    |

  18. The area of the reggion bounded by the lines y=2x+1,y=3x+1" and "x=4 i...

    Text Solution

    |

  19. A box contains 6 pens , 2 of which are defective Two pens are...

    Text Solution

    |

  20. If the volume of spherical ball is increasing at the rate of 4pi" cc/s...

    Text Solution

    |