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The production of bakers' yeast in a fed-batch bioreactor can be maximized by controlling the substrate feed rate. This leads to a singular optimal control problem. An exact solution initially based on a heuristic argument and later quantified by the generalized Legendre-Clebsch convexity condition is obtained. A numerical technique, obtained by embedding the singular problem in a sequence of nonsingular problems that converge to the singular one in a limit as t -m is demonstrated.

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