The term co-product is used to describe multiple items that are produced simultaneously during a production run. Co-products are often used to increase yields in cutting operations such as die cutting or sawing when it is found that scrap can be reduced by combining multiple-sized products in a single production run. Co-products are also used to reduce the frequency of machine setups required in these same types of operations. Co-products, also known as byproducts, are also common in process manufacturing such as in chemical plants. Although the concept of co-products is fairly simple, the programming logic required to provide for planning and processing of co-products is very complicated.