#### shaalaa.com | Linear Programming part 6 (Types of linear programming problem)

##### Series 1: playing of 2

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Different types of linear programming (L.P.) problems:-

- Manufacturing problem
- Diet Problem
- Transportation problem
- Alllocation Problem

#### Related Questions VIEW ALL [8]

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:

Transportation cost per quintal (in Rs) |
||

From/To |
A | B |

D | 6 | 4 |

E | 3 | 2 |

F | 2.50 | 3 |

How should 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 to supply oil to three petrol pumps, D, E and F whose requirements are 4500L, 3000L and 3500L respectively. The distance (in km) between the depots and the petrol pumps is given in the following table:

Distance in (km) |
||

From/To |
A | B |

D | 7 | 3 |

E | 6 | 4 |

F | 3 | 2 |

Assuming that the transportation cost of 10 litres of oil is Re 1 per km, how should the delivery be scheduled in order that the transportation cost is minimum? What is the minimum cost?