A company makes 110 -inch wide rolls of thin sheet metal and slices them in smaller rolls of 12 , 15 , and 30 inches. A cutting pattern is a configuration of the number of smaller rolls of each type that are cut from the raw stock. Six different cutting patterns are used. Demands for the coming week are 50012 -inch rolls, 71515 -inch rolls, and 63030 -inch rolls. Develop a model that will determine how many 110-inch rolls to cut into each of the six patterns to meet demand and minimize scrap