12th|UNIT 8|LPP|Transportation Problem| Part-3|Applied Mathematics|@FLOW_WITH_MATHS

Описание: ML AGGARWAL Exercise: 15.2| How to solve transportation problem?
Q: 25 An oil company has two depots A and B with capacities of 7000 litre and 4000 litre respectively. The company is to supply oil to three petrol pumps D, E and F, whose requirements are 4500 litre, 3000 litre and 3500 litre respectively. The distance (in km) between the depots and the petrol pumps is given in the following table:
Distance from the depot (in km)
Distance from the depot (in km)
Example 25. 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:

(i) Formulate the objective function and the constraints of the above Linear programming problem.
(ii) How many units should be transported from each factory to each depot in order that the transportation cost is minimum?

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