This case is a continuation of Case 4.3, which involved the Springfield School Board assigning students from six residential areas to the city’s three remaining middle schools. After solving a linear programming model for the problem with any software package, that package’s sensitivity analysis report now needs to be used for two purposes. One is to check on the effect of an increase in certain bussing costs because of ongoing road construction in one of the residential areas. The other is to explore the advisability of adding portable classrooms to increase the capacity of one or more of the middle schools for a few years.
Answer to relevant QuestionsAfter setting goals for how much the sales of three products should increase as a result of an upcoming advertising campaign, the management of the Profit & Gambit Co. now wants to explore the trade-off between advertising ...Consider Variation 5 of the Wyndor Glass Co. model (see Fig. 7.5 and Table 7.8), where the changes in the parameter values given in Table 7.5 are c-bar2 = 3, a-bar22 = 3, and a-bar32 = 4. Use the formula b* = S*b-bar to find ...Consider part (a) of Prob. 7.2-2. Use the dual simplex method manually to reoptimize, starting from the revised final tableau. Consider the following problem. Maximize Z = 3x1 + x2, Subject to x1 + x2 ≤ 4 and x1 ≥ 0, x2 ≥ 0. Consider the Z*(θ) function shown in Fig. 8.1 for parametric linear programming with systematic changes in the cj parameters. (a) Explain why this function is piecewise linear. (b) Show that this function must be convex.
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