Consider the following 3 Constrained Optimization Problems (COP).

(a) Maximize z = ln x, subject to x > 1

(b) Maximize z = In x, subject to x < 1

(c) Maximize z = In x, subject to 1 < x < 2

(A) (a) and (b) have no solutions but (c) has solution

(B) (a) and (b) have solutions but (c) has no solution

(C) (a), (b) and (c) have no solution

(D) (a) and (c) have no solution but (b) has solution

Choose the correct answer from the options given below: