Water (F1) is blended with a stream F2 with 40% ethanol to make a whiskey product that is 30% ethanol. Assume F1=4gal/min and F2=4 gal/min.(a)Develop a steady-state material balance model for the blending operation. Find the line arized gains for the 2×2 transfer function model using as a guide.F1 and F2 are manipulated variables, and the controlled variables arethe outlet compositionz and the total flow rate F.(b)Derive the RGA in terms of F1,F2,and F.(c)Determine the RGA and the preferred pairing for the controllers

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