Home
Class 12
MATHS
A cottage industry manufactures pedes...

A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of grinding/cutting machine and a sprayer. It takes 2 hours on the grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes one hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs. 5 and that from a shade is Rs. 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximise his profit? Make an L.P.P. and solve it graphically.

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at die most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximise his profit?

A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on the grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs. 25 and that from a shade is Rs. 15. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximise his profit. Formulate an LPP and solve it graphically.

Scent sprayer is based on

A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines to manufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of 70 paise and screws B at a profit of Rs 1. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximise his profit? Formulate the above LPP and solve it graphically and determine the maximum profit.

A cottage industry manufactures pedestal lamps and wooden shades.Both the products require machine time as well as craftsman time in the making.The number of hours required for producing 1 unit of each and the corresponding profit is given in the following table: In a day,the factory has availability of not more than 42 hours of machine time and 24 hours of craftsman time. Assuming that all items manufactured are sold,how should the manufacturer schedule his daily production in order to maximise the profit?Formulate it as an LPP and solve it graphically

A small firm manufactures gold rings and chains. The total number of rings and chains manufactured per day is atmost 24. It takes 1 hour to make a ring and 30 minutes to make a chain. The maximum number of hours available per day is 16. If the profit on a ring is Rs. 300 and that on a chain is Rs 190, find the number of rings and chains that should be manufactured per day, so as to earn the maximum profit. Make it as an L.P.P. and solve it graphically.

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the equation of the plane through the points (2, 1, 1) and (1,...

    Text Solution

    |

  2. Find the shortest distance between the following lines: (x+1)/7=(y+1)...

    Text Solution

    |

  3. A cottage industry manufactures pedestal lamps and wooden shades, e...

    Text Solution

    |

  4. A factory has two machines A and B. Past record shows that machine ...

    Text Solution

    |

  5. Find the inverse of the following matrix using elementary operations: ...

    Text Solution

    |

  6. Using properties of determinants, prove the following: |[x,x^2,1+px^3]...

    Text Solution

    |

  7. Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)

    Text Solution

    |

  8. Solve the following for x : cos^(-1)((x^2 - 1)/(x^2 + 1))+t a n^(-1...

    Text Solution

    |

  9. Using matrices, solve the following system of equations: x\ -\ y+z...

    Text Solution

    |

  10. If A^(-1) =[(3,-1,1),(-15,6,-5),(5,-2,2)] and B = [(1,2,-2), (-1,3,0),...

    Text Solution

    |

  11. A merchant plans to sell two types of personal computers — a deskto...

    Text Solution

    |

  12. Given three identical boxes I, II and III each containing two coins...

    Text Solution

    |

  13. Prove that: int0^(pi/4)(sqrt(tanx)+sqrt(cotx)\ dx=sqrt(2)dotpi/2

    Text Solution

    |

  14. Find the shortest distance between the following lines whose vector...

    Text Solution

    |

  15. Using vectors, find the area of the triangle with vertices A (1, 1,...

    Text Solution

    |

  16. Using matrices, solve the following system of equations: 4x+3y+3z=6...

    Text Solution

    |

  17. A random variable X has the following probability distribution: ...

    Text Solution

    |

  18. A window has the shape of a rectangle surmounted by an equilateral ...

    Text Solution

    |

  19. Find the distance of the point (-1,\ -5,\ -10) , from the point of int...

    Text Solution

    |

  20. Show that the right-circular cone of least curved surface and given...

    Text Solution

    |