Home
Class 12
MATHS
A factory makes tennis rackets and crick...

A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours of craftman’s time in its making while a cricket bat takes 3 hour of machine time and 1 hour of craftman’s time. In a day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftsman’s time. If the profit on a racket and on a bat is Rs 20 and Rs 10 respectively, find the maximum profit of the factory when it works at full capacity.

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    PRADEEP PUBLICATION|Exercise EXERCISE|135 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|279 Videos
  • MATRICES

    PRADEEP PUBLICATION|Exercise EXERCISE|335 Videos
PRADEEP PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. One kind of cake requires 200g of flour and 25g of fat, and another ki...

    Text Solution

    |

  2. A factory makes tennis rackets and cricket bats. A tennis racket takes...

    Text Solution

    |

  3. A factory makes tennis rackets and cricket bats. A tennis racket takes...

    Text Solution

    |

  4. A manufacturer produces nuts and bolts. It takes 1 hour of work on mac...

    Text Solution

    |

  5. A factory manufactures two types of screws, A and B. Each type of scre...

    Text Solution

    |

  6. A cottage industry manufactures pedestal lamps and wooden shades, each...

    Text Solution

    |

  7. A company manufactures two types of novelty souvenirs made of plywood....

    Text Solution

    |

  8. A merchant plans to sell two types of personal computers – a desktop m...

    Text Solution

    |

  9. A diet is to contain at least 80 units of vitamin A and 100 units of m...

    Text Solution

    |

  10. There are two types of fertilisers F1 and F2 . F1 consists of 10% ni...

    Text Solution

    |

  11. The corner points of the feasible region determined by the following s...

    Text Solution

    |

  12. (Diet problem)A dietician has to develop a special diet using two food...

    Text Solution

    |

  13. A farmer mixes two brands P and Q of cattle feed. Brand P, costing Rs ...

    Text Solution

    |

  14. A dietician wishes to mix together two kinds of food X and Y in such a...

    Text Solution

    |

  15. A manufacture make two types of toys A and B. three machines are neede...

    Text Solution

    |

  16. An aeroplane can carry maximum of 200 passengers, A profit of ₹ 400 is...

    Text Solution

    |

  17. Two godowns A and B have grain capacity of 100 quintals and 50 quintal...

    Text Solution

    |

  18. An oil company has two depots A and B with capacities of 7000 l and 40...

    Text Solution

    |

  19. A fruit grower can use two types of fertilizer in his garden, brand P ...

    Text Solution

    |

  20. A fruit grower can use two types of fertilizer in his garden, brand P ...

    Text Solution

    |