A pump at ground level can generate $100$ feet of head at a flow rate of $30$ gallons per minute.

The total head before the pump is $10$ feet. The pump is connected to a $4$ inch diameter pipe

which delivers water to an exit nozzle at $30$ feet. The exit nozzle is $1$ inch in diameter. Assume

frictionless flow.

a$)$ Calculate the EL and HGL just after exiting the pump and at the exit nozzle.

b$)$ How much pressure can the pump deliver at the exit nozzle $($in psi$)?$