Question

Assertion (A): Every point of the feasible region of a Linear Programming Problem is an optimal solution.

Reason (R): The optimal solution for a Linear Programming Problem exists only at one or more corner point(s) of the feasible region.

Options

• Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).

  Explanation:

   

• Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).

• Assertion (A) is true but Reason (R) is false.

• Assertion (A) is false but Reason (R) is true.

Answer 1

Assertion (A) is false but Reason (R) is true.

Explanation:

As per theorem of LPР,

The optimal solution for a linear programming problem lies at one or more corner points of the feasible region.

Thus, Assertion is false, Reason is true.