3 The diagram shows a network of pipes. Each pipe is labelled with its upper capacity in \(\mathrm { m } ^ { 3 } \mathrm {~s} ^ { - 1 }\)
\includegraphics[max width=\textwidth, alt={}, center]{18ce34aa-e4c3-4a84-a36d-6542d2319bf5-04_513_832_440_605} 3

1. Find the value of Cut \(X\)
   3
2. Find the value of Cut \(Y\)
   3
3. Add a supersink \(T\) to the network.