B. Multi-tank level control systems are typical in large refineries, municipal waste treatment systems and hydroelectric generating plants. A schematic of such a plant is shown in Fig Q5B. Each tank empties into the next, and there is no back flow (i.e. there is no flow back into the tank from the downstream side). Each tank can be modeled as a simple first order system such that: RAdtdqout+qout=qin where R is the outlet resistance and A is the area of the tank. (Note that the outlet flow is proportional to the height, h, of water in the tank.) Given this information, develop transfer functions for each tank, and assemble them into a block diagram. Please label the flows Qc,Q1,Q2Q3,Qd on the diagram. [17]