Question

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.
• D. at the intersection of two or more constraints.
• E. none of the above

Answer 1

Answer: (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) solution.