Home
Class 12
MATHS
Two godowns A and B have grain capacity ...

Two godowns A and B have grain capacity of 100 quintals and 50 quintals respectively. They supply to 3 ration shops D,E and F whose requirements are 60, 50 and 40 quintals respectively. The cost of transportation per quintal from the godowns to the shops are given in the following table:
How should the supplies be transported in order that the transportation cost s minimum? What is the minimum cost?

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos
  • INVERSE-TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|111 Videos
  • MATRICES

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos

Similar Questions

Explore conceptually related problems

Two godowns A and B have grain capacity of 100 quintals and 50 quintals respectively. They supply to 3 ration shops D, E and F whose requriments are 60,50 and 40 quintals respectively. The cost of transportation per quintals from the godowns to the shops are given in the following table: How would the supplies be transported in order that the transportation cost is minimum. what is the minimum cost?

An oil company has two depots A and B with capacities of 7000 l and 4000 l respectively. The company is so supply oil to three petrol pumps, D,E and F whose requirements are 4500 l, 3000 l and 3500 l respectively. The distance between the depots and the petrol pumps is given in the following table: Assuming that the transportation of cost of 10 litres of oil is Rs. 1 per km, how should be the delivery be scheduled in order that the transportation cost is minimum? what is the minimum cost?

An oil company has teo depots A and B with capacity of 7000L and 4000L respectively. The company is to supply oil to three petrol pumps D,E and F whose requirements are 4500L, 3000L and 3500L respectively. The distance between the depots and the petrol pumps is given in the following table: Assuming that the transportation cost of 10 litres of oil is Rs 1 per km, how should the delivery be scheduled in order that the transportation cost is minimum? What is the minimum cost?

An oil company has teo depots A and B with capacity of 7000L and 4000L respectively. The company is to supply oil to three petrol pumps D,E and F whose requirements are 4500L, 3000L and 3500L respectively. The distance between the depots and the petrol pumps is given in the following table: Assuming that the transportation cost of 10 litres of oil is Rs 1 per km, how should the delivery be scheduled in order that the transportation cost is minimum? What is the minimum cost?

name two transport proteins.

A medical company has factories at two places. A and B. From these places, supply at P, Q and R. The monthly requirements of the agencies are respectively 40, 40 and 50 packets of the medicines, while the production capacity of the factories A and B, are 60 and 70 packets respectively. The transportation cost per packet from the factories to the agencies are given below : How many packets from each factory be transported to each agency so that the cost of transportation is minimum? Also find the minimum cost.

Differentiate passive transport and active transport.

What is active transport ?

There are two factories located one at place P and the other at place Q. From these locations, a certain commodity is to be delivered to each of the three depots situated at A, B and C. The weekly requirements of the depots are respectively 5,5 and 4 units of the commodity while the production capacity of the factories at P and Q are respectively 8 and 6 units. The cost of transportation per unit is given below : How many units should be transported from each factory to each depot in order that the transportable cost is minimum. When will be the minimum transportation cost?

MODERN PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. A manufacturer of patent medicines is preparing a production plan on m...

    Text Solution

    |

  2. A medical company has factories at two places. A and B. From these pla...

    Text Solution

    |

  3. Two godowns A and B have grain capacity of 100 quintals and 50 quintal...

    Text Solution

    |

  4. An oil company has teo depots A and B with capacity of 7000L and 4000L...

    Text Solution

    |

  5. A soft drinks firm has two bottling plants, one located at P and the l...

    Text Solution

    |

  6. A toy company manufactures two types of dolls, A and B. Market tests a...

    Text Solution

    |

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

    Text Solution

    |

  8. (Diet problem)A dietician has to develop a special diet using two food...

    Text Solution

    |

  9. (Diet problem)A dietician has to develop a special diet using two food...

    Text Solution

    |

  10. A fruit grower can use two types of fertilizer in his garden, brand P ...

    Text Solution

    |

  11. A fruit grower can use two types of fertilizer in his garden, brand P ...

    Text Solution

    |

  12. A factory owner purchases two types of machines A and B for his factor...

    Text Solution

    |

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

    Text Solution

    |

  14. A manufaturer makes two types of toys, A and B cups. Three machines ar...

    Text Solution

    |

  15. A farmer mixes two brands P and Q of cattle feed. Brand P, costing Rs ...

    Text Solution

    |

  16. A packet of plain biscuits costs Rs 6 and that of chocolate bisuits co...

    Text Solution

    |

  17. The graph of the inequation 2x+3yge6 does not lie in the first quadran...

    Text Solution

    |

  18. The graph of the inequation 3x+2y>6 does not lie in the fourth quadran...

    Text Solution

    |

  19. The objective function is maximum or minimum at a point, which lies on...

    Text Solution

    |

  20. Maximize Z=x+2y subject to : x+yge5, xge0,yge0

    Text Solution

    |