In order for a linear programming problem to have a unique soluti… - Vidyadip

MCQ

In order for a linear programming problem to have a unique solution, the solution must exist.

A
At the intersection of the nonnegativity constraints.
B
At the intersection of a nonnegativity constraint and a resource constraint.
C
At the intersection of the objective function and a constraint.
✓
At the intersection of two or more constraints.

✓

Answer

Correct option: D.

At the intersection of two or more constraints.

In order for a linear programming problem to have a unique solution, the solution must exist at the intersection of two or more constraints.
Then the problem becomes convex and has a single optimum $($maximum or minimum$).$

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