Par, Inc. manufactures both standard and deluxe golf bags. Processes including (a) cutting and dyeing, (b) sewing, (c) finishing, and (d) inspection and packaging constrain the relative numbers of the two kinds of bags that can be produced. For example, Par, Inc. has the resources for cutting and dyeing to make (7/10)th Standard bags for every Deluxe bag up to a total of 630. That is, (7/10)S + 1D <= 630 is one constraint of their manufacturing process. This and the other constraints are listed below.
Initially, the graph below shows the unconstrained choices for the number of Standard and Deluxe bags to be made. Click on the graph to apply each constraint in order; each constraint applied is highlighted. Note that some constraints reduce the feasible alternative combinations of Standard and Deluxe substantially, while other constraints are laxer and reduce the feasible set little or not at all. Click on the graph, noting the changes with each new constraint, until all the constraints have been applied. The remaining highlighted area is the feasible set.
| (7/10)S + 1D <= 630 | Cutting and Dyeing |
| (1/2)S + (5/6)D <= 600 | Sewing |
| 1S + (2/3)D <= 708 | Finishing |
| (1/10)S + (1/4)D <= 135 | Inspection and Packaging |