Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Linear Programming

Question:

If the constraints in a linear programming problem are changed then,

A. The problem is to be revaluated.
B. Solution not defined.
C. The objective function has to be modified.
D. The objective function need not be modified.
E. The change in constraints does not affect the solution .

Choose the correct answer from the options given below:

Options:

B only

A and C only

A and D only

D and E only

Correct Answer:

A and D only

Explanation:

The correct answer is Option (3) → A and D only

If the constraints of a Linear Programming Problem are changed, the feasible region changes.

Because of this change, the problem must be analysed again to find the new optimal solution.

The objective function itself does not necessarily change when only constraints are changed.

Hence:

A. The problem is to be revaluated → correct.

B. Solution not defined → incorrect.

C. The objective function has to be modified → incorrect.

D. The objective function need not be modified → correct.

E. The change in constraints does not affect the solution → incorrect.

final answer: $\text{(A) and (D)}$