Home
Class 12
MATHS
if x+y le 2,x ge 0 then point at whi...

if ` x+y le 2,x ge 0 ` then point at which maximum value of 3x + 2y attained will be

A

(0,2)

B

(0,0)

C

(2,0)

D

`(1/2, 1/2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given ` x+y le 2, x ge 0 and y ge 0`
Let Z=3x+2y
The fasible region is OABO whose corner points are `O(0,0) A(2,0) and B (0,2)`

Hence, maximum vlaue of Z is 6 at point (2,0)
Promotional Banner

Topper's Solved these Questions

  • Linear Programming

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|13 Videos

  • Linear Programming

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 1 (TOPICAL PROBLEMS )(Solution of LPP Graphical Method )|15 Videos

  • LINE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|3 Videos

  • MATHEMATICAL LOGIC

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|22 Videos

Similar Questions

Explore conceptually related problems

For the system for linear inequations x + y le 6, 3x + 5y ge 15, x ge 0, y ge 0, If Z = 3x + 2y, then the maximum value of Z occurs at :

If Z=2x + y subject to x le 4, y le 6, x+y ge 6, x ge 0, y ge 0 , then the maximum value of Z is

y - 2x le 1, x + y le 2, x ge 0, y ge 0

x-y le 2, x + y le 4 , x ge 0, y ge

If 2x+5y le 16, 6y le 30, x ge0, y ge0 , then maximum of z=2x+10y is

The point at which the maximum value of Z = 4x + 6y subject to the constraints 3x + 2y le 12, x + y ge 4, x ge 0, y ge 0 is obtained at the point

3x + 4y le 60, x ge 2y , x ge1 , y ge 0

2x + y le 6, x + 2y le 8, x ge 0, y ge 0

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-Linear Programming -EXERCISE 2 (MISCELLANEOUS PROBLEMS )
  1. The point which provides the solution of the linear programming proble...

    Text Solution

    |

  2. Determine the system of linear equation for which the solution set is ...

    Text Solution

    |

  3. if x+y le 2,x ge 0 then point at which maximum value of 3x + 2y at...

    Text Solution

    |

  4. The solution set of the linear inequalities 2x + 2y ge 10 and x+ 2y ...

    Text Solution

    |

  5. Solve the linear programming problem. Maximise Z = x + 2y Subject ...

    Text Solution

    |

  6. For an LPP, minimise Z = 2x + y subject to constraint 5x+10y le 50 , x...

    Text Solution

    |

  7. Consider the inequalities x1+x2 le 3,2x1+5x2ge 10x1,x2 ge 0 then feas...

    Text Solution

    |

  8. Z=4x+2y,4x+2y ge 46, x +3y le 24 and x and y are greater than or equ...

    Text Solution

    |

  9. The minimum vlaue Z = 2x1 +3x2 subject to the conditions 2x1+7x2ge22...

    Text Solution

    |

  10. The maximum value P = 3x + 4y subjected to the constraints x + y le 40...

    Text Solution

    |

  11. Consider the inequalities 5x1+4x2ge9,x1+x2 le 3, x1 ge 0 , x2 ge 0 Wh...

    Text Solution

    |

  12. The minimum and maximum values problem, of Z for the minimise and ma...

    Text Solution

    |

  13. The linear programming problem minimiseZ=3x+2y subject to the constrai...

    Text Solution

    |

  14. The maximum and minimum values of the objective function Z = x + 2y s...

    Text Solution

    |

  15. The maximum value of the objective function Z=3x+4y subject to th...

    Text Solution

    |

  16. Let x and y are the number of tables and chairs respectively, on which...

    Text Solution

    |

  17. The graphical solution of linear inequalities x+y ge 5 " and " x -y ...

    Text Solution

    |

  18. By graphical method, the solutions of linear programming problem maxim...

    Text Solution

    |

  19. A toy company manufactures two types of doll; a basic version doll; a ...

    Text Solution

    |

  20. The minimum value of Z = 10x + By subject to 4x +y ge 4, x +3y ge 6, ...

    Text Solution

    |