Which of the following is true for the Clark-Wicksteed-Walras product exhaustion theorem

A. The assumption of a homogeneous production function is necessary.

B. It is an identity that holds for all values of the variables.

C. The assumption of a homogeneous production function is not necessary.

D. It is not an identity since it holds only for the values of the variables in the long-run equilibrium.

E. It holds for all types of production functions.

Choose the correct answer from the option given below: