25. Let FI , ••• , F", + I be real-valued functions defined over a space U. A sufficient condition for Uo to maximize Fm +1 subject to F;(u) C; (i = 1, ... , m) is that it satisfies these side conditions, that it maximizes F",+I(U) - EkiF;(u) for some constants k, 0, and that F;(uo) = C; for those values i for which k; > O. Section 7