The influent flow rate is Q$,$ the volume is Vr$,$ and the substrate concentration in the influent is So$.$ The influent contains inert biomass at the concentration of Xi$,$o$.$ The following parameters are also known: Y$,$ Umax, b$,$ Fd$,$ and Ks$.$ The treatment process can be represented by the provided matrix.

Assuming tha tunit conversions aren't needed, develop an expression that can be used to calculate the volatile suspended solids $($Xv$)$ in the effluent as a function of Q$,$ Vr$,$ So$,$ Xi$,$o$,$ Y$,$ Umax, Ks$,$ b$,$ and Fd$.$ The reactor is at steady state.