d)The shadow price for constraint 2 is 3. Using this shadow price and the right-hand- side range information in part (c), what conclusion can be drawn about the effect of changes to the right-hand side of constraint 2?

Question 3 - 12 Marks Refer to the sensitivity report for a problem shown in the figure below a)Interpret the ranges of optimality for the objective function coefficients.

b)Suppose that the manufacturing cost increases to $11.20 per case for model A. What is the new optimal solution?

c)Suppose that the manufacturing cost increases to $11.20 per case for model A and the manufacturing cost for model B decreases to $5 per unit. Would the optimal solution change?

Question 4 12 Marks The Porsche Club of America sponsors driver education events that provide high- performance driving instruction on actual racetracks. Because safety is a primary con- sideration 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 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, 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 time and 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. The linear programming model for this problem is as follows Max 200DRB+ 280DRWs.t. 20?𝑅?+ 25?𝑅𝑊≤40,000 Steel available 40?𝑅?+ 100DRW≤120,000 Manufacturing minutes 60DRB+ 40DRW≤96,000 Assembling minutes DRB, DRW≥0 The sensitivity report is shown below. a)What are the optimal solution and the total profit contribution?