Figure $7$ shows the geometry and pipe sizes for another simple pipe network. Each node

represents a separate building on the grounds of a manufacturing plant. An agreement with the

municipal water supplier guarantees an inflow of $50$ cubic feet per second $($cfs$)$ from the

municipal water system at node A$.$ Manufacturing processes performed in buildings B$,$ C$,$ D$,$ E$,$

and $F$ require water flows of $10cfs,8cfs,0cfs,20cfs,$ and $12cfs$ respectively. Use the Hazen$-$

Williams formula as the relationship between head loss and flow. Assume all pipes have a $C_{HW}$

value of $100.$

Figure $7$: Pipe Network for Manufacturing Plant Example