Specially-designed rack and plastic bag, and methods of use. The bag is mounted on the rack with a lower portion of the bag disposed inwardly and downwardly of the top of the rack, and an upper portion of the bag disposed outwardly and downwardly of the top of the rack. Workers place thin-section waste material into the bag. When the bag is full, the bag is replaced with an empty bag. The bag has holes, which enable air to escape through bag side walls while the bag is being compressed in a baler. Because air escapes through the side walls, more of the air can be removed for a given baler compaction force thereby the resulting bale weighs about 10% to about 25%, or greater, more than a bale made with the same materials and the same baler conditions, without use of the rack and bags of the invention.