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Question

Economics Question on Logarithmic Differentiation

Match List-I with List-II :List-I
[Utility functions U(x1,x2)]| List-II
(MRSx1,x2)
---|---
(A)| Cx1ax2bCx^{a}_1x^{b}_2| (I)| (x2+1)(x1+2)\frac{-(x_2+1)}{(x_1+2)}
(B)| (x1+2)(x2+1)(x_1+2)(x_2+1)| (II)| (x1x2)a1-(\frac{x_1}{x_2})^{a-1}
(C)| ax1+bx2ax_1+b\sqrt{x_2}| (III)| ax2bx1\frac{-ax_2}{bx_1}
(D)| (x1a+x2a)b(x^{a}_1+x^{a}_2)^b| (IV)| 2ax2b-\frac{2a\sqrt{x_2}}{b}
Choose the correct answer from the options given below:

A

(A)-(II); (B)-(III); (C)-(I); (D)-(IV)

B

(A)-(III); (B)-(IV); (C)-(II); (D)-(I)

C

(A)-(III); (B)-(I); (C)-(IV); (D)-(II)

D

(A)-(I); (B)-(IV); (C)-(II); (D)-(III)

Answer

(A)-(III); (B)-(I); (C)-(IV); (D)-(II)

Explanation

Solution

The correct answer is (C) : (A)-(III); (B)-(I); (C)-(IV); (D)-(II)