Consider the tableau obtained while solving a linear maximization problem with the simplex method. a) Find the condition
Posted: Fri May 20, 2022 7:02 am
Consider the tableau obtained while solving a linear
maximization problem with the simplex method.
a) Find the conditions under which it can be concluded from the
tableau above that the objective value of the problem is unbounded
from above.
b) Assume that c >0 and d<0. Find conditions that are
needed for the only possible simplex pivot in the tableau above to
result in s1 pivoted in and x2 pivoted out.
c) Assume that b and f>0 and that c=0. Find conditions under
which there is only one possible pivot in the tableau above, and
that pivot is a degenerate one.
d) Assume f>0. Specify conditions that are needed for the
current basic feasible solution to be optimal and an alternative
optimum solution to exist.
si a Z 1 0 0 0 X1 0 1 0 0 X2 0 0 0 1 с d S2 b 0 1 1 S3 0 0 1 0 RHS 7 3 2 f e
maximization problem with the simplex method.
- Consider The Tableau Obtained While Solving A Linear Maximization Problem With The Simplex Method A Find The Condition 1 (3.82 KiB) Viewed 55 times
tableau above that the objective value of the problem is unbounded
from above.
b) Assume that c >0 and d<0. Find conditions that are
needed for the only possible simplex pivot in the tableau above to
result in s1 pivoted in and x2 pivoted out.
c) Assume that b and f>0 and that c=0. Find conditions under
which there is only one possible pivot in the tableau above, and
that pivot is a degenerate one.
d) Assume f>0. Specify conditions that are needed for the
current basic feasible solution to be optimal and an alternative
optimum solution to exist.
si a Z 1 0 0 0 X1 0 1 0 0 X2 0 0 0 1 с d S2 b 0 1 1 S3 0 0 1 0 RHS 7 3 2 f e