A pharmaceutical dispensing system includes a frame having first and second opposed sides, a plurality of cells configured to house pharmaceutical pills, and a display on the frame first side. A plurality of dispensing shelves configured to receive filled pill containers are accessible from the second side of the frame for removal of pill containers therein. The pharmaceutical dispensing system includes a processor and memory coupled thereto. A computer program resides in the memory and is executable by the processor for displaying a cell inventory graphical user interface (GUI) within the display. The cell inventory GUI includes a GUI control that is responsive to user activation for displaying replenishment information about one or more of the cells. The computer program is configured to determine a replenish point and replenish quantity for each cell and is configured to adjust the replenish quantity for each cell according to a stock-out risk.