  In mathematical economics, the used functions are, in general, considered to
be quasiconcave. Moreover, they are, in many cases, separable of nature. It is
known that a local maximum of a quasiconcave function is not, in general, a
global maximum. In this paper we will show that this property is true when the
quasiconcave function is furthermore separable. Sufficient optimality
conditions for a separable quasiconcave programming will be studied in both
differentiable and nondifferentiable cases. Thanks to separability condition,
quasiconcave functions have nice properties in optimization problems.
