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This case describes the coal-procurement process of a small electric utility. The manager of the production fuel department must decide how much coal to purchase from each vendor and how to allocate the purchased coal among the utility's three coal-burning plants. The situation can be modeled and solved as a linear program. Sensitivity analysis can be used to help formulate a strategy for negotiating with the vendors and to address other special issues.

At the core of this case is a distribution, or sourcing, problem that can be modeled and solved using linear programming (LP). There are also issues of whether to build (a) new plant(s)––and if so, what the capacity should be––and whether to expand or close one or more of the existing plants. These latter issues can be analyzed using a 0/1 LP facility-location model. Alternatively, because the number of options is limited, they can be analyzed using the straight LP model of the distribution problem as a tool to facilitate analysis.

George Lasiter sells special-events T-shirts and must decide how many to order for an upcoming concert. He has high, medium, and low estimates of both concert attendance and the percentage of attendees who will want a shirt. In addition, he has assessed the relative likelihoods of each estimate. The case can be used to introduce or reinforce the fundamental issues surrounding decision making under uncertainty.

Benecol Spread, a cholesterol-lowering margarine, was a product with unusual media-planning challenges. With a narrow target group and unproven market potential, Johnson & Johnson needed to get the most “bang for the buck” from its Benecol advertising. Would a media-planning model (optimizer) requiring executives to quantify their judgment on several key inputs be helpful in this process? A spreadsheet accompanying the case allows students to weight the target groups and to choose among different advertising vehicles to form the best possible media plan.