Abstract: Improvements are disclosed in a machine for applying carrier stock of resilient polymeric material to substantially identical containers, each having an upper rim of a given diameter and a side wall of a larger diameter. The carrier stock has container-receiving apertures in longitudinal rows. A conveyor conveys the containers in longitudinal rows. A wheel assembly comprising two wheels with paired jaws receives the stock, stretches the stock transversely, and moves the stock downwardly past the rims. The conveyor, the wheel assembly, and the jaws on one wheel are adjustable for applying the stock selectively in a rim-applied carrier position or in a side-applied carrier position. The conveyor is supported by a table and is adjustable vertically, via spacers insertable between the table and a base. The wheel assembly is adjustable longitudinally, via rollers on longitudinal rails. The jaws on one wheel are adjustable transversely, via screws.