INSTRUCTIONS FOR RUNNING LINPROG
 Put the initial tableau into file INTABL.DAT. For the standard MAX 
 problem, this file should look like the following, which is the 
 initial tableau for the peanut pecan problem.

 4    4    0

 ' '   ' '    'x'    'y'
 'z'   0      3.50   1.80
 'r'   960   -6     -5
 's'   1760  -10    -11


 The first number on the first line is the number of rows, 
 while the second number is the number of columns. The 0 signals 
 the program that this is a standard MAX problem. Put a 1 there for 
 a standard MIN problem. Note that variable names are quoted, 
 including the two quoted blanks. Variable names need not be single 
 letters, but may not be longer than 4 characters, for instance 
 x12, obj, y1, #mx1, 1->B. 

 To run a standard MIN problem, also put the initial tableau 
 in the file INTABL.DAT, but note the format of the file for
 the transportation problem done in class, which is shown below.

 6  6  1

 ' '   ' '   'x'   'y'   'u'   'v'
 'z'     0    10    15    12    16
 'r'    30    -1    -1     0     0
 's'    40     0     0    -1    -1
 'a'    25     0    -1     0    -1
 'b'    20    -1     0    -1     0

 5

 1000
 1000

 Note the 1 as the third number on the first row signaling the 
 program that this is a MIN problem. Note that the objective 
 function is entered without the penalty costs, just as for a 
 MAX problem. The software will add the penalty costs to the 
 objective function, but you must tell it what row the artificial 
 variables begin on (row 5), and what the penalty costs are to be 
 (1000 for both rows 5 and 6). This is the purpose of the last three 
 lines in the file. The artificial variables must be at the bottom 
 of the tableau.

 The INTABL.DAT file is not read formatted, and so there is no 
 need to worry about which column the numbers are in. You will find 
 the output tableaux in the file OUTTABL.DAT. 

 Note: For doing game theory solutions by the simplex method, the 
 output does not give enough decimal places. Go into the
 SUBROUTINE STANMAXPROB and change the format so
 that the 12F10.2 is 12F10.5.