Given a utility function $U = 3 A 2 B 3$, which of the following is true?
A) $\mathrm { MUA } = 3 \mathrm {~A} 2$
B) $M U B = 9 A 2 B 2$
C) The marginal rate of substitution cannot be determined.
D) The marginal utility for each good is negative.

Question

Quizplus · Accepted Answer

The marginal utility of B, $MUB$, is derived by taking the partial derivative of the utility function with respect to B, resulting in $9A^2B^2$.

Given a Utility Function U=3A2B3U = 3 A 2 B 3U=3A2B3

Given a Utility Function $U = 3 A 2 B 3$