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Question $1$

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Which of the following situations cannot occur in the context of a linear programming problem which admits a unique optimal solution?

Question $1$Answer

a$.$

There are no binding constraints at the optimal solution

b$.$

There is exactly one binding constraint at the optimal solution

c$.$

There are exactly two binding constraints at the optimal solution

d$.$

All the constraints are binding at the optimal solution

e$.$

None of the above

Question $2$

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Which of the following situations cannot occur in the context of a linear programming problem in standard form?

Question $2$Answer

a$.$

The feasible region is empty

b$.$

The feasible region is infinite

c$.$

The feasible region is infinite and convex

d$.$

The feasible region is finite but not convex

e$.$

None of the above