Home
Class 12
MATHS
A manufacturing company makes two types ...

A manufacturing company makes two types of teaching aids A and B of Maths for class XII. Each type of A requires 9 labour hours for fabricating and 1 labour hour for fininshing. Each type of B requires 12 labour hours for fabricating and 3 labour hours for fininshing. For fabricating and finishing , the maximum labour hours available are 180 and 30 respectively. The company makes a profit of Rs 80 and each type of A and Rs 120 on each type of B. How many pieces of type A and type B should be manufactured per week to realise a maximum profit? What is the maximium profit per week?

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

Similar Questions

Explore conceptually related problems

A manufacturing company makes two types of teaching aids A and B of Mathematics for class XII. Each type of A requires 9 labour hours of fabricating and 1 labour hour for finishing. Each type of B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available per week are 180 and 30 respectively. The company makes a profit of ₹ 80 on each piece of type A and ₹ 120 on each piece of type B. How many pieces of type A and type B should be manufactured per week to get a maximum profit ? Make it as LPP and solve graphically. What is the maximum profit per week ?

A manufacturing company makes two models A and B of a product. Each pice of model a requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of model of B requires 12 labour hours for fabricating and 3 hour for finishing. For fabricating and finishing, the maximum labour hours avaibale are 180 and 30 respectively. the company makes a profit of Rs.8000 on each piece of model A and Rs.12000 on each piece of model B. How many pieces of model A and model B should be manufactured per week to realise a maximum profit? what is the maximum profit per week?

A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit is Rs 5 each for type A and Rs 6 each for type B souvenirs. How many souvenirs of each type should the company manufacture in order to maximise the profit?

A manufacture make two types of toys A and B. three machines are needed for this purpose and the time required for each toy on the machines is given below: Each machine is available for a maximum of 6 hours per day. if hte profit on each type A is Rs.7.50 and that on each toy of type B is Rs.5. show that 15 toys of type A and 30 of type B should be manufactured in a day to get maximum profit.

A manufaturer makes two types of toys, A and B cups. Three machines are needed for the the manufacture and the time in minutes required for each cup on the machines in given below: Each machine is available for a maximum of 6 hours per day. If the profit on each toy of type A is Rs 7.5 and that on each toy of type B is Rs 5, show that 15 toys of type A and 30 of type B should be manufactured in a day to get the maximum profit.

A manufacturer makes two types of toys A and B. Three machines are needed for this pupose and the time (in minutes ) required for each toy on the machines is given below : Each machine is available for a maximum of 6 hours per day. If the profit on ech toy of type A is Rs 7.50 and that on each toy B is Rs 5, show that 15 toys of type A and 30 of type B should be manufactured in a day to gat maximum profit.

A doll manufacturing company manufatures two types of dolls, type A and type B. Each doll of type A takes twice as long as to produce of type B. The company has enough time to manufacture as maximum of 2000 dolls per day if it produces only type B dolls. The supply of plastic is sufficient enough to manufacture a total of 1500 dolls every day. The type A dolls requires fancy dress of which only 550 are available daily. If the company makes a profit of Rs.8 on each type of doll A and Rs.5 on each type of doll B. how many of each type of dolls should the company manufacture everyday so as to get a maximum profit. Also find the maximum profit.

A furniture firm manufactures chairs and tables, each requiring the use of three machines A, B and C. Production of one chair requires 2 hours on machine A, 1 hour on machine B and 1 hour on machine C. Each table requires 1 hour each on machine A and B and 3 hours on machine C. The profit obtained by selling on chair is ₹ 30 while by selling one table the profit is ₹ 60. The total time available per week on machine A is 70 hours, on machine B is 40 hours and on machine C is 90 hours. How many chairs and tables should be made per week so as to maximize profit ? Formulate the problem as L.P.P. and sovle it graphically.

PRADEEP PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. A pharmaceutical company requires everyday 10,12,12 units of chemicals...

    Text Solution

    |

  2. A soft drinks manufacturing company is preparing a production plan on ...

    Text Solution

    |

  3. A manufacturing company makes two types of teaching aids A and B of Ma...

    Text Solution

    |

  4. A manufacturing company makes two models A and B of a product. Each pi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. A manufacture of electronic circuits has a stock of 200 resistors, 120...

    Text Solution

    |

  8. A firm has to transport 1200 packages using large vans which can carry...

    Text Solution

    |

  9. A company manufactures two types of screws A and B. All the screw have...

    Text Solution

    |

  10. A company manufactures two types of sweaters type A and type B. If cos...

    Text Solution

    |

  11. A retired person wants to invest an amount of Rs 50000. His broker rec...

    Text Solution

    |

  12. Number of atoms per unit cell in fcc and bcc unit cells are 4 and 2 re...

    Text Solution

    |

  13. A shopkeeper deals in two items: thermoflasks and airtight containers....

    Text Solution

    |

  14. A company sells two different products A and B. The two products in a ...

    Text Solution

    |

  15. A factory owner wants to purchase two types of machines A and B, for h...

    Text Solution

    |

  16. A manufacturer has three machines I, II and III installed in his facto...

    Text Solution

    |

  17. An oil company requires 12000, 20000 and 15000 barrerls of high grade,...

    Text Solution

    |

  18. Solve the following LPP graphically: minimize Z=x-5y+20 subjects to co...

    Text Solution

    |

  19. Maximize Z=x+y subject to x+4yle8, 2x+3yle12, 3x+y le 9, xge0, yge0.

    Text Solution

    |

  20. Find the maximum and minimum values of 4x+3y subject to constraints xl...

    Text Solution

    |