An underlying assumption made by default in constraints (6.4) and (6.5) is that the total production capacity is adequate to meet the total demand. This assump- tion is indeed met in the MB distribution example, where total weekly capacity is
154,000 cases (as given in (6.1)) and the total weekly retail demand is 150,000 cases (as given in iable 6.3). Now, let us consider the total cost associated with a solution. It is easy to see that the cost of shipping X * (in 1,000 cases) beer from plant I to retailer k canbecomputed as C.ox X.o.Ignoring the blank cells, the total cost associated with the solution in Table 6.6 can be computed as