The Government of Macondo, in the face of innumerable complaints about the Gas Pipeline Project, has decided instead to build a network of Pipelines to transport Bunker-C from the ports to the different power generation plants, while the type of green energy is determined. and renewable that will be used in the long term in the island of enchantment. There are 10 pipeline branches in the network. Their information is detailed in the table below with flows in hundreds of gallons.

Branch	Initia Node	Final Node	Capacity	Reserve Capacity
1	1	2	9	8
2	1	3	7	6
3	2	4	10	10
4	2	5	12	8
5	3	5	6	5
6	4	6	5	12
7	5	6	5	5
8	5	7	6	5
9	6	8	5	9
10	7	8	7	10

a) What would be the maximum flow of Bunker-C fuel that can go through this pipeline network?

b) After a time of operation, PREPA requests that the pattern of the pipeline network be modified. The new data is presented in the table below. What impact does it have on the maximum flow of the network?

Branch	Initia Node	Final Node	Capacity	Reserve Capacity
1	1	2	9	8
2	1	3	7	6
3	2	4	9	10
4	2	5	12	0
5	3	5	6	5
6	4	6	7	12
7	5	6	6	3
8	5	7	6	5
9	6	8	5	9
10	7	8	7	10

Please be detailed and clear. I will upvote, thanks.