2 The diagram shows a network of pipes.
Each pipe is labelled with its upper capacity in \(\mathrm { m } ^ { 3 } \mathrm {~s} ^ { - 1 }\)
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2
- Find the value of the cut \(\{ A , C , D , G , H \} \{ B , E , F , I \}\)
2
- Write down a cut with a value of \(300 \mathrm {~m} ^ { 3 } \mathrm {~s} ^ { - 1 }\)
2
- Using the values from part (a) and part (b), state what can be deduced about the maximum flow through the network.
Fully justify your answer.