Two statements are given, one labelled Assertion (A) and the other labelled Reason (R).

Assertion (A): If the feasible region for an L.P.P. is bounded, then the objective function $Z = ax + by$ has both maximum and minimum values.
Reason (R): A feasible region of a system of linear inequalities is said to be bounded if it can be enclosed within a circle.

Select the correct answer from the options as given below:

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

The correct answer is Option (2) → Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).

Assertion is true by theorem.

Reason is also true but Reason is not the correct explanation of Assertion.