\begin{verbatim} 
  MAX     21 X + 23 Y
  SUBJECT TO
         2)   X + 2 Y <=   12
         3)   X + Y <=   7
         4)   2 X + Y <=   10
  END
 
 LP OPTIMUM FOUND AT STEP      2

        OBJECTIVE FUNCTION VALUE

        1)      157.0000    

  VARIABLE        VALUE          REDUCED COST
         X         2.000000           .000000
         Y         5.000000           .000000


       ROW   SLACK OR SURPLUS     DUAL PRICES
        2)          .000000          2.000000
        3)          .000000         19.000000
        4)         1.000000           .000000

 NO. ITERATIONS=       2

 RANGES IN WHICH THE BASIS IS UNCHANGED:
 
                           OBJ COEFFICIENT RANGES
 VARIABLE         CURRENT        ALLOWABLE        ALLOWABLE
                   COEF          INCREASE         DECREASE
        X       21.000000         2.000000         9.500000
        Y       23.000000        19.000000         2.000000
 
                           RIGHTHAND SIDE RANGES
      ROW         CURRENT        ALLOWABLE        ALLOWABLE
                    RHS          INCREASE         DECREASE
        2       12.000000         2.000000         1.000000
        3        7.000000          .333333         1.000000
        4       10.000000         INFINITY         1.000000
 
\end{verbatim}
