Help Falcon Die Casting Company $($FDC$)$ is an automo$-$ Similarly, Machine $4$ can only produce Parts $2$ and $3.$ tive parts manufacturer based in Ohio. FDC recently While FDC has the design capacity needed to meet patented an innovative method of high volume die the customer's long term demand for the five parts, casting using traditional die casting machines. This the effective capacity at present is just enough to satpatent was instrumental in FDC receiving a long term isfy the demand because a significant percentage of contract from a major automobile manufacturer for items produced are not at a quality level demanded the bulk of its requirements for five key die cast items by the customer. This situation is likely to remain the used in most of its automobiles. The customer provides FDC with an indication of are gradually brought under control through experithe possible demand for the next $12$ weeks with the ence and continuous improvement. FDC$\text{'}$s industrial understanding that demand beyond Week $2$ is tenta$-$ engineers developed yield factors, which are quite tive and subject to change depending on auto sales accurate in predicting the proportion of parts that during the preceding weeks. Table $1$ shows the pro$-$ jected demand for the next $12$ weeks. jected demand for the next $12$ weeks. FDC can produce the parts on five die casting the production rates for the five parts on the five machines along with the yield factors. For instance, machines, each of which is capable of producing a producing Part $1$ on Machine $1$ for $3$ hours yields $72$ subset of the parts as indicated in Table $2.$ For exam$-(=3\backslash$times $40\backslash$times $0\mathrm{.}6)$ items of Part $1$ that meet the specificaple, Part $1$ can be produced only on Machines $1$ and $2.$ tions and, thus, can be used to fulfill demand. There is no wastage of metal because defective parts can be melted and reused. Production takes place Monday through Friday with three eight$-$hour shifts per day, yielding $120$ hours $154$Rao and Beli$$n: Case: Production Scheduling at Falcon Die Casting INFORMS Transactions on Education $15(1),$ Pp$.154-155,()2014$ INFORMS $155$