Home
Class 12
MATHS
A dealer deals in two items A and B He h...

A dealer deals in two items A and B He has Rs. 15000 to invest and a space to store almost 80 pieces Item A costs him Rs 300 and item B costs him Rs. 150 He can sell items A and B at profits of Rs 40 and Rs 25 respectively Assuming that he can sell all that he buys formulate the above as a linear programming prioblem for maximum profit and solve it graphically

Text Solution

Verified by Experts

The correct Answer is:
A : 20 items; B : 60 items; Max.Profit = ₹ 2300.
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE 12 C (MULTIPLE CHOICE QUESTIONS)|12 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE 12 (C ) (B.Fill in the Blanks)|5 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE 12(b) (Long Answer Tyoe Questions(I)) (LATQ)|25 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise CHAPTER TEST (3)|12 Videos

Similar Questions

Explore conceptually related problems

A dealer wishes to purchase table fans and ceiling fans. He has Rs. 57,600 to invest, and has space to store 40 items. A table fan costs Rs. 750 and ceiling fan costs Rs. 900. He can make profits of Rs. 70 and Rs. 90 by selling a table fan and a ceiling fan respectively. If dealer sell all the fans that he buy, the formulate this problem as LPP, to maximize the profit.

A furniture dealer deals in only items - tables and chairs. He has ₹ 15,000 to invest and a space to store atmost 60 pieces. A table costs him ₹ 750 and chair ₹ 150 . Suppose he makes x tables any y chairs The graphical solution of the inequations representing given data is

A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has a space for at most 20 items. A fan costs him Rs. 360 and a sewing machine Rs. 240. His expectation is that he can sell a fan at a profit of Rs. 22 and a sewing machine at a profit of Rs. 18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize the profit? Formulate this as a linear programming problem and solve it graphically.

A faniture dealer deals in only two itmes - tables and chairs. He has 'Rs. 50000 invest and has storage place of at most 60 pieces. A table costs Rs. 2500 and chair Rs. 500. He estimates that from the sale of one table, he can make a perfect Rs. 250 and that from the sale of one chair a profit of Rs. 75. How many table and chair he should buy from the available money so as to maximise his total profit assuming that he can sell all the items which he buys.

A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items for storage. An electronic sewing machine cost him Rs. 360 and a manually operated sewing machine Rs. 240. He can sell an electronic sewing machine at a profit of Rs. 22 and a manually operated sewing machine at a profit of Rs. 18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit? Make it as a LPP and solve it graphically.

A shop keeper sells to two items, colour T.V. sets and DVD players. He can invest Rs. 12,00,000 and can store only 750 items. The cost of color TV and DVD player is Rs. 6500 and Rs. 2800 respectively. He can sell these items at a price of Rs. 8600 and Rs. 3900 respectively. Form the LPP to maximize the profit.

A dealer buys a wristwatch for Rs 225 and spends Rs 15 on its on its repairs. If he sells the same for Rs 300, find his profit percent.

A sells an article which costs him Rs. 500 to B at a profit of 20%. B then sells it to C, making a profit of 10% on the price he paid to A. How much does C pay B?

MODERN PUBLICATION-LINEAR PROGRAMMING -EXERCISE 12 C (Long Answer Type Questions )
  1. A factory makes tennis rackets and cricket bats. A tennis racket ta...

    Text Solution

    |

  2. If a young man drives his car at 40 km per hour, he has to spend ₹ 5 p...

    Text Solution

    |

  3. A dealer deals in two items A and B He has Rs. 15000 to invest and a s...

    Text Solution

    |

  4. A manufacture produceds two types of steel trunks. He has two machines...

    Text Solution

    |

  5. A factory manufatures two types pf screws A and B, Each type of screw ...

    Text Solution

    |

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

    Text Solution

    |

  7. (i) A manufacturer produces nuts and bolts for industrial machinery.It...

    Text Solution

    |

  8. A shopkeeper manufactures gold rings and chains.The combined number of...

    Text Solution

    |

  9. A man has ₹1,500 for the purchase of Rice and Wheat.A bag of rice and ...

    Text Solution

    |

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

    Text Solution

    |

  11. A company manufactures two types of novelty souvenirs made of plywo...

    Text Solution

    |

  12. A merchant plans to sell two types of personal computers - a deskto...

    Text Solution

    |

  13. (Manufacturing problem) A manufacturing company makes two models A ...

    Text Solution

    |

  14. A manufacturing company makes two types of teaching aids A and B . Eac...

    Text Solution

    |

  15. Two tailors A and B are paid ₹ 225 and ₹ 300 per day respectively.A ca...

    Text Solution

    |

  16. (Allocation problem) A cooperative society of farmers has 50 hectar...

    Text Solution

    |

  17. A diet for a sick person must contain at least 4000 units of vitamins,...

    Text Solution

    |

  18. Food X contains 6 units of vitamin A per gm and 7 units of vitamin B p...

    Text Solution

    |

  19. A diet is to contain at least 80 units of Vitamin A and 100 units o...

    Text Solution

    |

  20. (Diet problem): A dietician wishes to mix two types of foods in suc...

    Text Solution

    |