Consider pipe network below with friction factor of $0\mathrm{.}02.$ Pipe $AB$ is has a length of $5000$ ft and a diameter of $3$ ft $.$

Each of the pipes $BC,BD,CE,$ and DE have a length of $1000$ ft and a diameter of $2$ ft $.$ Pipe $DC$ is $1,410ft$ long and

has a diameter of $2$ ft $.$ The final solution obtained for this network indicates that the flows in pipes $BC,CE,$ and $DE$

are respectively $20cfs,10cfs,$ and $10$ cfs as shown in the figure. Also, the energy head at $D$ is $100$ feet. Determine:

a$.$ The water surface elevation in Reservoir $A,$

b$.$ The energy loss in pipe DC$.$