Consider the following mixing process, Control objective: regulate f0 and c3 to desired levels Manipulated variables: f1 and f2 Assume that the system is a two component system. Let f1 be the flow rate (kg/hr. of stream 1,f2 be the flow rate of stream 2(kg/hr.) while f0 is the total flow rate. Also, if c1 and c2 are the mass fractions of component A in each stream and c the mass fraction of component A in the mixed stream: i. What are the material balance equations for this system? [4] ii. Develop a linear (22) model representation by linearization of the material balance equations around the following steady-state operating point, f0=100kg/hr., c3=60% with c1=80% and c220%. iii. If the dynamics of the mixed streams concentration and measurement sensors are characterized by the following expressions, Gm(s)=1=f0f0mandGm(s)=es2=c#em i.e. measurement of flow is assumed instantanecus, while the measurement of mass fraction is assumed to be affected by an analyzer delay (which is modeled as a pure time delay process). Develop the overall linearized dynamic model of the system. Draw the block diagram representation of the system