An apparatus that generates brewed beverages by performing one or more chemical and/or mechanical processes may receive requests to produce specified brewed beverages. The apparatus may include a master controller that initiates and controls performance of the chemical and/or mechanical processes to produce the specified beverages. The master controller may adaptively apply one or more process accelerators during the performance of one of the chemical or mechanical processes to accelerate the process or to achieve a desired qualitative or quantitative characteristic for a beverage or a component thereof. The adaptive application of one or more process accelerators may be dependent on a multiple-variable process profile developed for the process and/or a specified beverage. For example, the pressure in a steam wand and/or the depth of the wand may be varied during a process to froth milk in order to produce frothed milk having a desired temperature.