Home
Class 12
MATHS
Two tailors, A and B earn Rs. 15 and Rs....

Two tailors, A and B earn Rs. 15 and Rs. 20 per day respectively. 'A' can stitch 6 shirts and 4 pants while B can stitch to 10 shirts and 4 pants per day. How many days shall each work if it is desired to produces (at least) 60 shirts and 32 pants at a minimum labour cost ?

Text Solution

Verified by Experts

The correct Answer is:
A takes 5 days and B takes 3 days.
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 12|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos

Similar Questions

Explore conceptually related problems

A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. He earns a profit of Rs. 17.50 per package on nuts and Rs. 7.00 per package on bolts. How many packages of each should be produced each day so as to maximise his profit, if he operates his machines for at the most 12 hours a day ?

A farmer mixes two brands P and Q of cattle feed. Brand P, costing Rs. 250 per bag, contains 3 units of nutritional element A, 2.5 units of element B and 2 units of element C. Brand Q costing Rs. 200 pre bag contains 1.5 units of nutritional element A, 11.25 units of element B, and 3 units of element c. The minimum requirements of nutrients A,B and C are 18 units, and 24 units respectively. Determine the number of bags of each brand which should be mixed in order to produce a mixture having a minimum cost per bag? What is the minimum cost of the mixture per bag.

(Manufacturing problem) A manufacturing company makes two models A and B of product. Each piece of Model A requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of Model B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available 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 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 Rs. 7 and screws B at a profit of Rs. 10. 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 ? Determine the maximum profit.

(Manufacturing problem) A manufacturer has three machines I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine III must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are given in the following table : She makes a profit of Rs. 600 and Rs. 400 on items M and N respectively. How many of each should she produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum profit ?

A manufacturer produces nuts and bolts. It takes 1 hour of worl in machine A and 3 hours on machine B to produce a package of nuts. It take 3 hours on machien A and 1 hour on machine B to produce a package of bolts. He earns a profit of Rs. 17.50 per package on nuts and Rs. 7.00 per package on bolts. How many packages of each should be produced each day so as to maximise bis profit, if he operates his machines for at the most 12 hours a day?

A company manufactures the bicycle with gears and without gears in two different factories. The factory A produces 16 bicycles without gears and 20 bicycles with gears in a day. The factory B produces 12 bicycles without gears and 20 bicycles with gears in a day. The expenditure of factory A is Rs. 50,000 daily and the expenditure of factory B is Rs. 40,000 daily. A company has ordered for 96 bicycles without gears and 140 bicycles with gears. To complete these order, how many days the factories will work so that there is minimum expenditure ?

KUMAR PRAKASHAN-LINEAR PROGRAMMING-PRACTICE WORK
  1. Solve the following linear programming problems graphically : Maximi...

    Text Solution

    |

  2. Solve the following linear programming problems graphically : Minimi...

    Text Solution

    |

  3. A dealer wants to purchase 5 litres oil tin and 1 kg ghee tin. He has ...

    Text Solution

    |

  4. An aeroplane can carry a maximum of 200 passengers. A profit of Rs. 10...

    Text Solution

    |

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

    Text Solution

    |

  6. One kind of cake requires 300 gr of flour and 15 gr of fat and another...

    Text Solution

    |

  7. A factory owner purchase two types of machines A and B for his factory...

    Text Solution

    |

  8. A dealer wishes to purchase a number of fans and sewing machines. He h...

    Text Solution

    |

  9. Two tailors, A and B earn Rs. 15 and Rs. 20 per day respectively. 'A' ...

    Text Solution

    |

  10. A publisher sells a hard cover edition of a text book for Rs. 72 and a...

    Text Solution

    |

  11. Every gram of wheat provides 0.1 gm of proteins and 0.25 gm of carbohy...

    Text Solution

    |

  12. A manufacturer maks two types A and B of tea cups. Three machines are ...

    Text Solution

    |

  13. A medical company has factories at two places, A and B from these plac...

    Text Solution

    |

  14. Kellogg is a new cereal formed of a mixture of bran and rice that cont...

    Text Solution

    |

  15. The brick manufacturer has two depot A and B with stocks of 30,000 and...

    Text Solution

    |

  16. A small firm manufacturers Golden chains and rings. The total number o...

    Text Solution

    |

  17. A company manufactures two articles x and y. There are three departmen...

    Text Solution

    |

  18. A man owns a field of area 1000 sq.m. He wants to plant fruit trees in...

    Text Solution

    |

  19. A factory owner purchase two types of machines, A and B, for his facto...

    Text Solution

    |

  20. A company manufactures the bicycle with gears and without gears in two...

    Text Solution

    |