Chapter 14.2, Problem 51E

(a)

To determine

To calculate: The marginal utility of X. If $U=f\left(x,y\right)$ is the utility function for goods X and Y, the marginal utility of X is $\frac{\partial U}{\partial x}$ and the marginal utility of Y is $\frac{\partial U}{\partial y}$, where $U=x^2{y}^2$.

(b)

To determine

To calculate: The marginal utility of Y. If $U=f\left(x,y\right)$ is the utility function for goods X and Y, the marginal utility of X is $\frac{\partial U}{\partial x}$ and the marginal utility of Y is $\frac{\partial U}{\partial y}$, where $U=x^2{y}^2$.