# ps2 - OR Models Problem Set 2 Fall Semester 2011 Due...

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OR Models Problem Set # 2 Fall Semester 2011 Due: Thursday, September 22 1. Solve problem 13 from Chapter 2 of Jensen and Bard. 2. Solve problem 3 of Chapter 2 from Jensen and Bard as follows: In part (a), solve the problem using the graphical solution method. In part (b) give the shadow prices associated with each constraint and give the right-hand side ( b i ) and objective function coefficient ( c j ) ranges. For part (b) you can use Excel. 3. A cargo plane is divided into three compartments: the front, center, and back. Each of the compartments has limits on weight and space. In addition, the weight loaded into each compartment must be in the same proportion of that compartment’s weight capacity in order to keep the plane balanced. (For example, from Table 1 we see that if 6 tons is loaded into the front then 9 and 5 tons must be loaded into the center and back, respectively.) The cargoes in Table 2 have been offered for shipment. Any portion of the cargoes may be accepted. Table 1 contains the relevant weight and space capacities of the plane.

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