For infinite-horizon optimal-growth problems the standard result in the lit
erature says that a program is optimal if and only if associated with it is
a sequence of present-value prices at which the program satisfies (i) a se
t of myopic "competitive conditions," and (ii) an asymptotic "transversalit
y condition." The principal result of this paper points out the interesting
and surprising fact that at least for a class of multisector models where
the production side is described by a simple linear model, and there are so
me limiting primary factors, the competitive conditions alone characterize
an optimal program.