Home
Class 12
MATHS
An oil company has two depots A and B wi...

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?

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

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?

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?

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?

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?

Refer to the graph given in fig. Find the cost of 15.5 litres of Petrol.

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?

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.

Find the angle between the two lines whose direction cosines are given by the equation l+m+n=0,2l+2m-mn=0

PRADEEP PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. An aeroplane can carry maximum of 200 passengers, A profit of ₹ 400 is...

    Text Solution

    |

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

    Text Solution

    |

  3. An oil company has two depots A and B with capacities of 7000 l and 40...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Fill ups In an LPP, the conditions xge0, yge0 are called…………..constrai...

    Text Solution

    |

  8. In a LPP, the linear function which has to be maximised or minimised i...

    Text Solution

    |

  9. The common region determined by all the linear constraints of a LPP is...

    Text Solution

    |

  10. Fill ups If the feasible region for an LPP is unbounded, then the maxi...

    Text Solution

    |

  11. The feasible region for no. LPP is always a .......... polygon.

    Text Solution

    |

  12. Fill ups In an LPP, the optimum value of the objective funciton is alw...

    Text Solution

    |

  13. In a LPP, the linear inequalities or restrictions on the variables are...

    Text Solution

    |

  14. Fill ups In an LPP, the minimum value of the objective function Z=ax+b...

    Text Solution

    |

  15. A corner point of a feasible region is a point I the region which is t...

    Text Solution

    |

  16. In a LPP, the objective function is always ...........

    Text Solution

    |

  17. Fill ups The optimal value of the objecitve function in an LPP occurs ...

    Text Solution

    |

  18. Fill ups If the feasible region for an LPP is ……………..then the optimal ...

    Text Solution

    |

  19. Fill ups The region represented by the inequalities xge6, yge2, 2x+yge...

    Text Solution

    |

  20. Number of ways in which 8 boys can sit in a circle

    Text Solution

    |