An analysis was made of the simplest statistical-mechanical lattice model for describing phase equilibria in three-component systems in the self-consistent field approximation. The range of parameters was defined for the possible appearance of a point or region of hydrophilic-lipophilic balance (HLB) on the phase diagram. That either a point or a region of HLB may exist was an indication that the phenomena occurs widely. Analysis of such a simple model was established as a necessary step in passing on to more complex models.