Home
Class 12
MATHS
A linear programming problem (LPP) along...

A linear programming problem (LPP) along with the graph of its constraints is shown below. The corresponding objective function is Minimize: `Z=3x+2y`. The minimum value of the objective function is obtained at the corner point`(2, 0)`.

The optimal solution of the above linear programming problem ______________.

A

does not exist as the feasible region is unbounded

B

does not exist as the inequality `3x+2ylt6` doesnot have any point in common with the feasible region

C

exists as the inequality `3x+2ygt6` has infinitely many points in common with the feasible region

D

exists as the inequality `3x+2ylt6` does not have any point in common with the feasible region

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    CBSE MODEL PAPER|Exercise QUESTIONS|9 Videos

Similar Questions

Explore conceptually related problems

Objective function of a linear programming problem is

The minimum value of the objective function Z=x+2y Subject to the constraints, 2x+ y ge 3 , x +2y ge 6 , x, y ge 0 occurs

In the given figure, if the shaded region is the feasible region and the objective function is z = x - 2y, the minimum value of Z occurs at:

Which of the folowing cannot be considered as the objective function of a linear programming problem ?

The minimum value of the objective function Z=2x+10y for linear constraints x ge 0 , y ge 0, x -y ge 0, x -5y le -5 is

In a LPP, the maximum value of the objective function Z = ax +by is always 0, if origin is one of the corner point of the feasible region.

The feasible region of a system of linear inequalities is shown below. If the objective function is maximise Z = 25x + 15y, then the maximum value of Z occurs at:

The maximum value of the objective function Z=3x+2y for linear constraints x+y le 7, 2x+3y le 16, x ge0, y ge0 is

CBSE MODEL PAPER-Additional Practice Questions-Question
  1. Alinempassesthroughthepoint (-4,2,-3)andisparalleltolinen,givenby: (...

    Text Solution

    |

  2. L1and L2 are two skew lines. How many lines joining L1 and L2 can be...

    Text Solution

    |

  3. A linear programming problem (LPP) along with the graph of its constra...

    Text Solution

    |

  4. The feasible region of a linear programming problem is bounded.The cor...

    Text Solution

    |

  5. M and N are two events such that P(M cap N)= 0. Which of the followi...

    Text Solution

    |

  6. X={0, 2, 4, 6, 8}. P is a relationon X defined by P={(0,2),(4,2),(4,...

    Text Solution

    |

  7. Two statements are given below-one labelled Assertion(A) and the other...

    Text Solution

    |

  8. Find the domain of the function y=cos^(-1)(|x-1|).Show your steps.

    Text Solution

    |

  9. Draw the graph of the following function: y = 2 sin^(-1)(x), -pi le ...

    Text Solution

    |

  10. The sum of a matrix and its transpose is [[6,-1],[-1, 4]]. Find one su...

    Text Solution

    |

  11. If x = cot t and y= cosec^2 t,find: (i) (dy)/(dx) (ii) (d^2y)/(dx...

    Text Solution

    |

  12. Iqbal, a data analyst in a social media platform is tracking the numbe...

    Text Solution

    |

  13. The population of rabbits in a forest is modelled by the function belo...

    Text Solution

    |

  14. Solve the integral: I = int x(k - x)^(23) dx, where k is a constant....

    Text Solution

    |

  15. Solve the integral: I = int (3x + 5)/(x^2 + 4x + 7) dx Show your w...

    Text Solution

    |

  16. Evaluate the integral: int0^(pi/2) (sin theta d theta)/((25+ cos the...

    Text Solution

    |

  17. Using the properties of definite integrals, prove the following: int...

    Text Solution

    |

  18. When an object is thrown vertically upward, it is under the effect of ...

    Text Solution

    |

  19. Shown below is acurve. L1 is the tangent to any point (x,y) on th...

    Text Solution

    |

  20. Given x + (y + 1) (dy)/(dx) = 2 (i) Solve the differential equation ...

    Text Solution

    |