Three refineries with maximum daily capacities of 6, 5, and 8 million litres of oil supply three distribution areas with daily demands of 4, 8 and 7 million litres. Oil is transported to the three distribution areas through a network of pipes.The transportation cost is 1 cents per 100 litres per km. The table below shows the lengths of the pipes (in kms) connecting refineries with distribution areas. The interpretation of the – entry is that refinery 1 is not connected to distribution area 3. Construct the associated transportation problem model. Make sure you give the network, indicate the supply/demand at each node, and give the cost and capacity for each arc. 

	Area 1	Area 2	Area 3
Refinery 1	120	180	-
Refinery 2	300	100	80
Refinery 3	200	250	120