The formal similarity between von Neumann's theorem on maximal growth and (a weak form of) the fundamental theorem of linear programming is striking. The parallelism is explained by considering a simple economy for which the two problems are identical

We build a bisector reproduction model with Classical features in which the capitalists aim at maximizing accumulation. At variance with gravitation models, it is assumed that they invest their profits in their own industry. Their plans are based on actual productions and expected prices....