# Consider the following statements about linear programming and the simplex method. Label…

Consider the following
statements about linear programming and the simplex method. Label each
statement as true or false, and then justify your answer. 1 Asgmt Math (Mil)
252 Linear Programming

(a) In a particular
iteration of the simplex method, if there is a tie for which variable should be
the leaving variable , then the next BF solution must have at least one basic
variable equal to zero (b)

(c) If there is no
leaving variable at some iteration, then the problem has no feasible solution.

If at least one of the
basic variables has a coefficient of zero in row 0 of the final tableau, then
the problem has multiple optimal solutions.

If the problem has
multiple optimal solutions, then the problem must have a bounded feasible
region (d)

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