The transportation costs for each product and source-destination
 combination are shown in Table 4. They have a similar form to sample
 problem 1. All possible transportation flows will be allowed, and the
 same naming scheme will be followed as that used in the first problem.
 The model tableau can now be generated from the above information,
see Figure 4. Note in particular the asymmetry of the Q matrix, the
organization of the matrix for two commodities, and the repetition of
the basic transportation flow scheme in the A matrix.
 The input data and control cards for the problem are shown in
Figure 5. The scheme here also is analogous to problem 1, although
the deck is significantly larger. Pay particular attention to the strict
arrangement of the data going from left to right, column by column.
Within each column, the order proceeds from top to bottom. It is only
necessary that the elements in a given column be together, but this
systematic arrangement imposes a discipline that tends to prevent errors
and brings them to the surface if they do occur.
 Finally, the solution results are given in Figure 6. The solution
output description will not be repeated here, but several comments are
in order. The objective function should be ignored since this is a more
general LCP that does not fit into the quadratic or linear programming
framework. In this solution, the only exporting is done by region 2 and
this is the case for both commodities A and B. Regions 1 and 3 both
import from region 2 in addition to consuming all of their domestic
production. Price differentials for each commodity again reflect trans-
portation cost differentials.


 7. DETAILED DESCRIPTION OF PROGRAM CONTROL CARDS


 All control cards must start in column 1 and use only columns 1
through 6 to specify the instruction. Comments may appear in columns 7
through 80. There are three types of control cards: TYPE 0, TYPE 1,
and TYPE N.
 A TYPE 0 control card does not have any data following it.
 A TYPE 1 control card has a single data card following it.
 A TYPE N control card has one or more input data cards that follow.