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bounded, then R may still be bounded, but may also be 
unbounded from below, from above, or both. If R is bounded 
from above, an optimal point exists (Figure 2). If R is 
unbounded from above, no optimum exists (Figure 3). Both 
cases can arise on the same feasible set ID through different 
choices of the maximand. 
A highly special form of linear programming has been used 
by KANTOROVICH [1959]. In this case the objective is defined 
by prescribing the ratios of the quantities of all desired goods 
Koopmans - pag. 7