Home
Class 12
MATHS
Solve the following LPP graphically Maxi...

Solve the following LPP graphically Maximize `z=5x_1+3x_2`
Subject to `3x_1+5x_2le15
,5x_1+2x_2le10
,x_1, x_2ge0`.

Text Solution

Verified by Experts

The correct Answer is:
Hence,Z(maximum) is `(235)/(19)` at `x_1=(20)/(19)` and `x_2=(45)/(39)`
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise QUSTIONS FOR PRACTICE (Manufacturing Problems)|2 Videos
  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise QUSTIONS FOR PRACTICE (DIET Problems)|2 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |35 Videos
  • MATRICES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Very Short Answer Type Questions) |56 Videos

Similar Questions

Explore conceptually related problems

Solve the following LPP graphically: Maximize: Z=4x_1+3x_2 subject to x_1+x_2le50 , x_1+2x_2le80 , 2x_1+x_2ge20 , x_1,x_2ge0

Solve the following LPP graphically Maximise Z=5x_(1)+3x_(2) Subject to 3x_(1)+5x_(2)le15 , 5x_(1)+2x_(2)le10 and x_(1),x_(2)ge0 , where x_(1) and x_(2) represent x and y .

ARIHANT PUBLICATION-LINEAR PROGRAMMING-CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)
  1. Solve the following LPP graphically Maximize z=5x1+3x2 Subject to 3x1...

    Text Solution

    |

  2. Find the maximum and minimum value of 2x + y subjects to the constrain...

    Text Solution

    |

  3. Anil wants to invests atmost ₹ 12000 in bonds A and B. According to th...

    Text Solution

    |

  4. A firm deals with two kinds of fruit juice. These are mixed and two mi...

    Text Solution

    |

  5. A diet for a sick person must contain at least 4000 units of vitamins,...

    Text Solution

    |

  6. One kind of cake requires 200 g of flour and 25 g of fat and another k...

    Text Solution

    |

  7. A dietician has to develop a special diet using two foods P and Q. Eac...

    Text Solution

    |

  8. Acarpenter has 20 and 15 sqm of plywood and sunmica, respectively. He ...

    Text Solution

    |

  9. A company manufactures two types of screws Å and B. All the screws hav...

    Text Solution

    |

  10. Amanufacturer of patient medicines is preparing plan on medicines A an...

    Text Solution

    |

  11. An aeroplane can carry a maximum of 200 passengers. A profit of ₹ 400 ...

    Text Solution

    |

  12. A manufacturer produces nuts and bolts. It takes 1 h of work on machin...

    Text Solution

    |

  13. A dietician wishes to mix together two kinds of foods X and Y in such ...

    Text Solution

    |

  14. A dietician wishes to mix two types of foods in such a way that the vi...

    Text Solution

    |

  15. Amerchant plans to sell two types of personal computers, a desktop mod...

    Text Solution

    |

  16. A farmer mixes two brands P and Q of cattle feed. Brand P, costing ₹ 2...

    Text Solution

    |

  17. A company manufactures two types of stickers, A: "SAVE ENVIRONMENT" an...

    Text Solution

    |

  18. A small firm manufactures gold rings and chains. The total number of r...

    Text Solution

    |

  19. A library has to accommodate two different types of books on a shelf. ...

    Text Solution

    |