Home
Class 12
MATHS
The objective function z = x1 + x2, subj...

The objective function `z = x_1 + x_2`, subject to `x_1 + x_2 leq 10,-2x_1 + 3x_2 leq 15,x_1 leq 6,x_1 ,x_2 leq 0` has maximum value of the feasible region.

A

at only one point

B

at only two points

C

at every point of the segment joining to points

D

at every point of the line joining two points

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQs|127 Videos

  • THREE DIMENSIONAL GEOMETRY

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|150 Videos

Similar Questions

Explore conceptually related problems

The objective function z=x_(1)+x_(2), subject to x_(1)+x_(2)<=10,-2x_(1)+3x_(2)<=15,x_(1)<=6,x_(1),x_(2)<=0 has maximum value of the feasible region.

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 objective function Z=x_1+x_2 subject to the constraints: x_1+x_2leq10,-2x_1+3x_2leq15,x_1leq6, x_1,x_2geq0 has maximum value ________________ of the feasible region .

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

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

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

Maximize z = 3 x _ 1 - x _ 2 , subject to 2x _ 1 + x _ 2 ge 2, x _ 1 + 3 x _ 2 le 2, x _ 2 le 2, x _ 1 ge 0 , 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 ……

NIKITA PUBLICATION-QUESTION PAPER MHT-CET 2016-MCQs
  1. If the p.d.f. of a r.v. X is given as then F(0)=

    Text Solution

    |

  2. The particular solution of the differential equation y (1+logx)(dx)/(...

    Text Solution

    |

  3. M and N are mid-point of the diagnols AC and BD respectivley of quadri...

    Text Solution

    |

  4. IF sin x is the integerating factor (I.F ) of the linear diff...

    Text Solution

    |

  5. Which of the following equation does not represent a pair of lines ?

    Text Solution

    |

  6. Probability of guessing correctly atleast 7 out of 10 answers in a 'T...

    Text Solution

    |

  7. Priencipal solutions of the equation sin 2x + cos 2x =0 . Where...

    Text Solution

    |

  8. If line joining points A and B having position vectors 6 bar a-4 bar b...

    Text Solution

    |

  9. If A=[(2,2),(-3,2)], B=[(0,-1),(1,0)] then (B^(-1)A^(-1))^(-1) is equa...

    Text Solution

    |

  10. If p : Every square is a rectangle. q : Every rhombus is a kite, the...

    Text Solution

    |

  11. If G(barg), H(barh) and P(barp) are centroid, orthocenter and circumce...

    Text Solution

    |

  12. Which of the following quantified statement is ture ?

    Text Solution

    |

  13. The general solution of the equation tan^(2)x=1 is

    Text Solution

    |

  14. The shaded part of the given figure indicates the feasible region ...

    Text Solution

    |

  15. Direction rations of the line which is perpendicular to the line...

    Text Solution

    |

  16. If matrix A=[(1,2),(4,3)] such that Ax =I then x=

    Text Solution

    |

  17. If bara=hati+hatj+hatk, barb=2hati+lambdahatj+hatk,barc=hati-hatj+4hat...

    Text Solution

    |

  18. If r.v. X ~ B( n = 5, P =1/3) then P(2 < X < 4)=

    Text Solution

    |

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

    Text Solution

    |

  20. Symbolic form of the given switching circuit is equivalent to

    Text Solution

    |