Q$3.(30\%)$ The following Table provides the results of a pump performance test.

$\backslash$table$[[Q(\frac{m^3}{s}),0,0,75,1,5,2,25,3,3,75],[H(m),45,43,5,40,5,36,27,15]]$

a$)$ Plot the pump characteristic $($performance$)$ curve.

b$)$ Plot the characteristic curve for two pumps in series.

c$)$ Plot the characteristic curve for two pumps in parallel.

d$)$ What pump configuration would work for a required flow of $6\mathrm{.}375\frac{m^3}{s},$ which must overcome a head of $24m?$

e$)$ What pump configuration would work for a required flow of $3\mathrm{.}32\frac{m^3}{s},$ which must overcome a head of $48m?$