Examen parcial I

MIN=3*X1+2*X2;

3*X1+3*X2<=81;

2*X1-X2>=0;

-X1<=3;

X2>=14;

Rows=      5 Vars=      2 No. integer vars=      0  ( all are linear)

 Nonzeros=     11 Constraint nonz=     6(     3 are +- 1) Density=0.733

 Smallest and largest elements in absolute value=    1.00000        81.0000

 No. < :   2 No. =:   0 No. > :   2, Obj=MIN, GUBs <=   2

 Single cols=    0

 Optimal solution found at step:         0

 Objective value:                 49.00000

                       Variable           Value        Reduced Cost

                             X1        7.000000           0.0000000E+00

                             X2        14.00000           0.0000000E+00

                            Row    Slack or Surplus      Dual Price

                              1        49.00000            1.000000

                              2        18.00000           0.0000000E+00

                              3       0.0000000E+00       -1.500000

                              4        10.00000           0.0000000E+00

                              5       0.0000000E+00       -3.500000

 Ranges in which the basis is unchanged:

                                      Objective Coefficient Ranges

                                  Current        Allowable        Allowable

                Variable      Coefficient         Increase         Decrease

                      X1         3.000000         INFINITY         3.000000

                      X2         2.000000         INFINITY         3.500000

                                           Righthand Side Ranges

                     Row          Current        Allowable        Allowable

                                      RHS         Increase         Decrease

                       2         81.00000         INFINITY         18.00000

                       3              0.0         12.00000         14.00000

                       4         3.000000         INFINITY         10.00000

                       5         14.00000         4.000000         14.00000