The present disclosure provides an air distribution system comprised of a central unit connected to a ventilation system and a control system. The central unit is responsible for re-directing ambient air through an evaporator and condenser coil in order to heat and cool said air and separately distribute it through the ventilation system. A control system is connected to the ventilation system, which allows for either hot or cool air that is compartmented in the ventilation system to be distributed in the rooms. By doing so, the air distribution system is able to manage the various demands for simultaneous hot and cold air demands.