Question: 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 specialty high-alloy steel, \(40\) minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires 25 pounds of the special high-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 2000 hours of manufacturing tiMeand 1600 hours of assembly time will be available next quarter. The profit contributions are $200 per unit for model DRB and $280 per unit for model DRW.

Also, Deegan has existing orders for 500 DRB roll bars and must produce a minimum of this quantity. Lastly, Deegan wants the quantity of DRW roll bars to be a minimum of 40% of the total production of both roll bars.

Develop the linear programming model to maximize profit.