A process is to be designed to produce $720,000$ lb R$/$year$.$ This material is formed by the elementary homogeneous liquid$-$phase reaction A $+$ B $->2$R

a$.)$Using a backmix reactor, find the optimum reactor size and feed composition to the reactor

b$.)$Determine the cost of producing R by this process

c$.)$Prepare a process flow sheet for the final design chosen showing flow rates of A$,$ B$,$ and R in all streams

d$.)$Write the expression in terms of XAf and M for the cost of producing R in a plug flow system

Data: Cost of Reactants: A $=$ $$7\mathrm{.}50/$lb$,$ B$=$$$0\mathrm{.}01/$lb

The molecular weights of the reactants: A$=40$ B$=80$