A laboratory flotation column in concentration of apatite ore was tested in discontinuous operation with the objective to qualify and quantify the conjoined influences of five important process variables. The tests arranged in a multi-factor experimental design for exploring response surfaces allowed identify favourable operation conditions in which P2O5 concentrations over 33 and yields up to 60 wt. % were obtained. The analyse of the response surfaces showed that the favourable conditions of the variables to obtain greater concentrations of P2O5 refer to conditions of lower apatite recovery. However, the mentioned methodology gave the chance to select best operational conditions of the column that promise the optimisation of the concentration and yield of P2O5 in a systematic manner, attaining quality criteria required in industry.