MAX     20 X1 + 14 X2 + 4 X4 + C3
  SUBJECT TO
         2)   8 X1 + 6 X2 + 2 X4 <=   196
         3)   6 X1 + 3 X2 + X4 <=   142
         4)   8 X1 + 8 X2 + 4 X4 <=   234
         5)   4 X1 + 2 X2 + 2 X4 <=   78
         6)   C3 <=   12
  END
  GIN      4

 LP OPTIMUM FOUND AT STEP      3
 OBJECTIVE VALUE =   480.000000

 FIX ALL VARS.(    1)  WITH RC >  0.000000E+00

 NEW INTEGER SOLUTION OF    478.000000     AT BRANCH      0 PIVOT       5
 BOUND ON OPTIMUM:  478.0000
 ENUMERATION COMPLETE. BRANCHES=     0 PIVOTS=       5

 LAST INTEGER SOLUTION IS THE BEST FOUND
 RE-INSTALLING BEST SOLUTION...

        OBJECTIVE FUNCTION VALUE

        1)      478.0000

  VARIABLE        VALUE          REDUCED COST
        X1        10.000000        -20.000000
        X2        19.000000        -14.000000
        X4         0.000000         -4.000000
        C3        12.000000         -1.000000


       ROW   SLACK OR SURPLUS     DUAL PRICES
        2)         2.000000          0.000000
        3)        25.000000          0.000000
        4)         2.000000          0.000000
        5)         0.000000          0.000000
        6)         0.000000          0.000000

 NO. ITERATIONS=       5
 BRANCHES=    0 DETERM.=  1.000E    0

 THE TABLEAU

      ROW  (BASIS)         X1        X2        X4        C3  SLK    2  SLK    3
        1 ART         -20.000   -14.000    -4.000    -1.000     0.000     0.000
        2 SLK    2      8.000     6.000     2.000     0.000     1.000     0.000
        3 SLK    3      6.000     3.000     1.000     0.000     0.000     1.000
        4 SLK    4      8.000     8.000     4.000     0.000     0.000     0.000
        5 SLK    5      4.000     2.000     2.000     0.000     0.000     0.000
        6 SLK    6      0.000     0.000     0.000     1.000     0.000     0.000


      ROW   SLK    4  SLK    5  SLK    6
        1     0.000     0.000     0.000   478.000
        2     0.000     0.000     0.000     2.000
        3     0.000     0.000     0.000    25.000
        4     1.000     0.000     0.000     2.000
        5     0.000     1.000     0.000     0.000
        6     0.000     0.000     1.000     0.000