The final section shown in Figure 3 is another output of the row
 errors after the solution is printed and c'piiri.:1'i y is declared.
 Now that the format and content of the pr-ilcidl output for LCRAUD has
been fully described, something should be said about the meaning of the
solution results.
 The most important information for most priiposcs is presented concisely
in the Primal-Dual Variable Solution Output. In market-oriented economic
modeling, a quantity formulation of the model implies that primal vari-
ables represent the equilibrium quantities produced, traded, and sold,
and the dual variables represent the market prices under conditions of
equilibrium. In our particular example, the solution indicates the follow-
ing conclusions:
 --the quantity of the indicated commodity consumed (or demanded)
 in region 1 for the given time period is about 74.75;
 --both regions 2 and 3 export to region 1;
 --region 1 does not export anything and ;:'?ion:; 2 and 3 do not trade
 between themselves at all;
 --the demand and supply prices are equal in each region, therefore
 each domestic market clears;
 --the difference between the market prices in regions 1 and 2 is
 exactly 2.1 which is the transportation cost between the two regions.
 An analgous situation holds for regions 1 and 3. No trade is
 profitable between regions 2 and 3 because the rice differential
 of .4 is less than the transportation cost of 3.
 The above statements should give the reader an understanding of the
interpretation.of this type of modeling approach. For a different
problem, e.g. miinimizing a quadratic cost finmcc. -:n, the interpretation will
be unique to the application. The interpri'c:ati.-o of quantities is
strictly up to the modeler and is generally straightforward. With regard
to prices, one can generalize in so far as the following:
 1) If demand and/or supply functions are used the prices will
 represent market, valuations
 2) In other cases, prices will represent imputed values in a
 similar sense to shadow prices in linear programming.