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Management · Q139

Operations Research or Qualitative Approach

Graduate and Post Graduate · Management · question 139

Q139

If one of the constraint of an equation in an LP problem has an unbounded solution, then.

A.
Solution to such LP problem must be degenerate
B.
Feasible region should have a line segment
Answer
C.
Alternative solutions exist
D.
None of the above

Answer: Option B

Solution

Answer: Option B
Solution:
If one of the constraint of an equation in an LP problem has an unbounded solution, then feasible region should have a line segment. If there is going to be an optimal solution to a linear programming problem, it will occur at one or more corner points, or on a line segment between two corner points.