A fluid formulation assembly for a formulation dispenser includes a fluid container configured to store a volume of fluid cosmetic formulation, a drive assembly operatively connectable to the fluid container and configured to dispense the fluid cosmetic formulation, and a carriage that receives the fluid container and is configured to interface with the drive assembly. The fluid container is removably attachable with the carriage without tools and at least one of the drive assembly or the carriage is removably attachable with the cosmetic formulation dispenser.