$(15$ pts $)$ Compute the F$/$M ratio for a new $400m^3$ activated sludge plant with a flow rate of $2\mathrm{.}50\frac{m^3}{s}$ if the influent BOD$5$ after primary settling is $85\mathrm{.}0m\frac{g}{L}$ and the MLVSS is $2,000m\frac{g}{L}$