Max It. Pepsi Max. Pepsi Max, similar to its forerunner Pepsi Edge, is a low-calorie, sugar-free cola, marketed by PepsiCo as an alternative to regular Pepsi and Diet Pepsi. Pepsi is a carbonated beverage that is produced and manufactured by PepsiCo. It is sold in retail stores, restaurants, cinemas and from vending machines. Recent UKAustralia Pepsi Max television advertisements have featured the taglines Maximum taste, no sugar and Don't worry, there's no sugar.