k (0)A consecutive, first-order, irreversible, biochemical reaction, A ~nsyme-B -+ C, taking place in a series of N reactors with product recycle is considered. A discrete version of the maximum principle is used to derive general equations necessary for maximizing the production of (1) the final produet, C, by choosing the temperature or the pH value in each reactor, and ( 2 ) the intermediate product, B, by choosing the reactor volume. A numerical computation for a series of three reactors with recycle is illustrated. The effects of varying t,he recycle rates on the optimal state and decision variables are also presented.
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