Assertion (A): The corner points of the bounded feasible region of a L.P.P. are shown below. The maximum value of \( Z = x + 2y \) occurs at infinite points. Reason (R): The optimal solution of a LPP having bounded feasible region must occur at corner points.
Assertion (A): The relation R = (x, y) : (x + y) is a prime number and x, y in N is not a reflexive relation. Reason (R): The number \( 2n \) is composite for all natural numbers \( n \).
The maximum value of \( Z = 4x + y \) for a L.P.P. whose feasible region is given below is: