Home
Class 12
MATHS
A manufacturur produces nuts and bolts.I...

A manufacturur 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 per package on bolts.How many package of each should be produced each day so as to maximise the profit,if he operates his machine for at the most 12 hours a days?
Formulate the problem as a linear programming problem.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|42 Videos
  • MATRICES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|119 Videos

Similar Questions

Explore conceptually related problems

A manufacturur 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 per package on bolts.How many package of each should be produced each day so as to maximise the profit,if he operates his machine for at the most 12 hours a days? Solve the LPP graphically and find the number of packages of nuts and bolts to be manufactured.

A manufacturur 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 per package on bolts.How many package of each should be produced each day so as to maximise the profit,if he operates his machine for at the most 12 hours a days? By suitable defining the variables write the objective function of the problem.

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 profit of Rs. 17.50 per package on nuts and Rs. 7.00 per package on bolts. Formulate the above LPP if the machine operates for at most 12 hours a day

A manufacture produces nuts and bolts. The time required to produce one packet of nuts and one packet of bolts on machines. A and B is given the following table. He earns a profit of Rs. 25 per packet of nuts and Rs. 12 per packet of bolts. He operates his machine for atmost 15 hours a day. Formulate a linear programming problem to maximise his profit.

How many megaspore mothe cell are produced in a nuclellus

A factory makes tennis rackets and bats,A tennis racket takes 1.5 hours of machine and 3 hours of craftsman's time in its making,while a cricket bat takes 3 hours of machine time and 1 hour of craftman's time.In a day,the factory has availibilityof not more than 42 hours of machine time and 24 hours of craftman's time. What no of rackets and bats must be produced if the factory is to work at full capacity?

(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 where as 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 item should she produce so as to maximise her profit assuming that she can swll all the items that she produced ? What will be the maximum profit ?

A factory makes tennis rackets and bats,A tennis racket takes 1.5 hours of machine and 3 hours of craftsman's time in its making,while a cricket bat takes 3 hours of machine time and 1 hour of craftman's time.In a day,the factory has availibilityof not more than 42 hours of machine time and 24 hours of craftman's time. if the profit on a racket and a bat isRs20 and Rs10 find maximum profit

A factory manufactures two types of screws, A and B . Each type of screw requires the 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 screw 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 eách type should the factory owner produce in a day in order to maximise his profit? Determine the maximum 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 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.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?

MAXIMUM PUBLICATION-LINEAR PROGRAMMING-EXAMPLE
  1. Consider the linear programming problem: Maximum z=50x+40y subject...

    Text Solution

    |

  2. Consider the linear programming problem: Maximum z=50x+40y subject...

    Text Solution

    |

  3. Consider the linear programming problem: Maximum z=50x+40y subject...

    Text Solution

    |

  4. A furniture dealer sells only tables and chairs.He has Rs.12,000 to in...

    Text Solution

    |

  5. A furniture dealer sells only tables and chairs.He has Rs.12,000 to in...

    Text Solution

    |

  6. A furniture dealer sells only tables and chairs.He has Rs.12,000 to in...

    Text Solution

    |

  7. A company produces two types of cricket balls A and B.The production t...

    Text Solution

    |

  8. A company produces two types of cricket balls A and B.The production t...

    Text Solution

    |

  9. A company produces two types of cricket balls A and B.The production t...

    Text Solution

    |

  10. The graph of linear programing problem is given below.The shaded regio...

    Text Solution

    |

  11. The graph of linear programing problem is given below.The shaded regio...

    Text Solution

    |

  12. The graph of linear programming problem is given below.The shaded regi...

    Text Solution

    |

  13. The graph of linear programming problem is given below.The shaded regi...

    Text Solution

    |

  14. The graph of linear programing problem is given below.The shaded regio...

    Text Solution

    |

  15. A manufacturur produces nuts and bolts.It takes 1 hour of work on mach...

    Text Solution

    |

  16. A manufacturur produces nuts and bolts.It takes 1 hour of work on mach...

    Text Solution

    |

  17. A manufacturur produces nuts and bolts.It takes 1 hour of work on mach...

    Text Solution

    |

  18. A bakery owner makes two types of cakes A and B. Three machines are ne...

    Text Solution

    |

  19. A bakery owner makes two types of cakes A and B.There machines are nee...

    Text Solution

    |

  20. In factory there are two machines A and B producing toys.They respecti...

    Text Solution

    |