We address the question of mean biomass volumetric productivity optimization, which originates from the simplification of dynamics of microalgae in a batch bioreactor process with light incidence. In particular, the stability of the model is analyzed, some optimality necessary conditions for the nonsmooth optimization problem obtained through the inclusion of different photoperiods are studied, and the model is applied in the particular case of Chlamydomonas reinhardtii microalgae to validate our results.