2 The network below represents a system of pipes. The number not circled on each edge represents the capacity of each pipe in litres per second. The number or letter in each circle represents an initial flow in litres per second.
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1. Write down the capacity of edge \(E F\).
2. State the source vertex.
3. State the sink vertex.
4. Find the values of \(x , y\) and \(z\).
5. Find the value of the initial flow.
6. Find the value of a cut through the edges \(E B , E C , E D , E F\) and \(E G\).