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The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual race tracks. Because safety is a primary consideration at such events, many owners choose to install roll bars in their cars. Deegan Industries manufactures two types of roll bars for Porsches. Model DRB is bolted to the car using existing holes in the car's frame. Model DRW is a heavier roll bar that must be welded to the car's frame. Model DRB requires 20 pounds of a special high alloy steel, 70 minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires 25 pounds of the special high alloy steel, 150 minutes of manufacturing time, and 40 minutes of assembly time. Deegan's steel supplier indicated that at most 20,000 pounds of the high-alloy steel will be available next quarter. In addition, Deegan estimates that 1,750 hours of manufacturing time and 800 hours of assembly time will be available next quarter. The profit contributions are $200 per unit for model DRB and $400 per unit for model DRW.
Questions
a) Formulate this problem as a linear programming model.
b) Then find the optimal solution using the graphical method (on a graph paper).
c) Identify all constraints as binding or non-binding.
d) Interpret the optimal solution you identified.
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