A pump at elevation $215\mathrm{.}00ft$ has a $450ft$ long discharge pipe and a $400ft$ long as the

schematic shows below. The suction pipe is connected to a tank with a water surface

elevation of $240\mathrm{.}00ft$ under a pressure of $4.$ The discharge line is connected to a

tank with a water surface elevation of $145\mathrm{.}00ft$ under a pressure of $57.$ The minimum

acceptable flow is $475$ gallons per minute. The filter has a resistance coefficient of $20\mathrm{.}0.$

The fluid is water. Neglect all other minor losses.

a$.)$ Specify a size and material for the suction and discharge pipes.

b$.)$ Create a system curve.