Simplex is an optimization technique that, in a general sense, does not require the use of complex mathematical
and statistical tools and can be very useful in the development of analytical methods. In this work, a tutorial
reviewing the basic concepts, fundamental approach and a work guide are presented for those who contemplate
simplex optimization as a tool to develop analytical methods. The characteristics and rules for applying the basic
and modified simplex algorithms commonly used for optimization are also described. Some studies demonstrat-
ing the application of simplex optimization in analytical chemistry are discussed to illustrate the applicability of
this technique.