b) What is the optimal solution? What is the maximum profit?
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 elect 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 cars 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 alloy steel, 40 minutes of manufacturing time, and 60 minutes if assembly time. Model DRW requires 25 pounds of the special alloy steel, 100 minutes of manufacturing time, and 40 minutes of assembly time. Deegan’s steel supplier indicated that at most 40,000 pounds of the high alloy steel will be available next quarter. In addition, Deegan estimates that 2,000 hours of manufacturing time and 1,600 hours of assembly time will be available next quarter. The profit contributions are $200 per unit for model DRB and $280 per unit of model DRW.
b) What is the optimal solution? What is the maximum profit?
c) Suppose that the profit for model DRB changes to $175. Would this change the optimal solution? What is the optimal solution? Give the values for all variables.
d) From the original model, if it were able to add 500 hours to the manufacturing time. Would this change the optimal solution? What is the optimal solution? Give the values for all variables.
Step by step
Solved in 3 steps with 1 images
