A conventional multiloop control scheme consisting of two PI controllers is to be used to control the product compositions xD and xB of the distillation column shown in Fig. The manipulated variables are the reflux flow rate R and the steam flow rate to the reboiler S. Experimental data for a number of steady-state conditions are summarized below. Use this information to do the following:(a) Calculate the RGA and determine the recommended pairing between controlled and manipulated variables.(b) Does this pairing seem appropriate from dynamic considerations? Justify youranswer.

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1.8 1.e 1.4- 1.2 T. 0.et Single loop tuning (one loop in manusi) Single loop tuning (botn loops in automatic) Multiloop tuning 04- 0.2- 10 15 Tinmeimin)