Lumberco sells 4-foot, 6-foot and 9-foot pieces of lumber. Lumberco’s customers demand 42 4-foot boards, 15 6-foot boards and 36 9-foot boards. Lumberco meets these demands by cutting 23-foot boards into the smaller boards. List the patterns that Lumberco can use to meet the customers’ demands. Then determine how Lumberco can satisfy customers’ demands with the least amount of total waste (both from the cuts and the board-feet from excess boards cuts of each size.