Consider the following statements:

(A) If the 2 utility functions u(x) and b(x) are related by u(x) = V(b(x)), where V'(⋅) > 0, then V(x) is a utility function representing the same preference as b(x).

(B) If the 2 utility functions represents the same preference, the solutions to the consumer's utility maximization problem are the same with the 2 utility function but the indirect utility functions are different.

(C) If the local non satiation assumption of preference is satisfied, any solution to the consumer's utility maximization problem satisfies the budget constraint with equality.

(D) If the indirect utility function of b(x) is homogenous of degree 0 then indirect utility function of u(x) = V(b(x)), where V'(⋅) > 0, is a homogenous function of degree 1.

Choose the correct answer from the options given below: 

1
(B) Only
2
(A), (B) and (D) Only
3
(A), (B) and (C) Only
4
(B), (C) and (D) Only

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