Consider three tanks in series, and the transfer function relating the level in Tank 3 to inlet flow rate 6 to Tank 1 is given as F(S) = Answer the following: (25+1)(45+1)(65+1) a. For a step change of unit magnitude in input, simulate the open-loop response b. Draw the closed loop diagram if the process is controlled by a proportional controller with gain Kc. What is the closed loop transfer function, and the characteristic equation. c. For a step change of unit magnitude in set-point, simulate the closed-loop response for a P-only feedback control with a controller gain Kc = 0, 0.25,1, 4. What is the off-set for these three cases for a step change in set point? Plot it on a single graph with a legend