c$)$ A pump is installed with a suction pipe of $200$ mm and a dslivery pipe of $=0\mathrm{.}02)$ in diameter to pump $0\mathrm{.}08\frac{m^3}{s}.$ The delivery pipe is $28$ m long. The elevation difference between the supply reservoir and the receiving reservoir is $20$ m $.$ The cavitation parameter $()$ is $0\mathrm{.}12$ and the installation suffers a loss of $1\mathrm{.}4$ m loss in the suction side. Determine the allowable height between the pump intake and the water surface elevation in the supply tank. The atmospheric pressure is $101\mathrm{.}35$ kPa and the vapor pressure is $1\mathrm{.}79$ kPa $.(6$ marks$)$