Of course it is feasible on an industrial scale, and a not-very-industrial one too. Go into any Buff City Soap store in the USA (Handcrafted Soaps & Skincare - Made Locally – Buff City Soap Supply, LLC) and you’ll get the picture right up close. Basic idea: compound sodium bicarbonate & citric acid together with a binding agent and make sure it stays dry. Coated bicarb costs more but will do even better.