Suppose an individual's utility from consuming goods X and Y is given by $U(X, Y) = X^3Y^{1/2}$. What is her utility level at an allocation where she consumes 3 units of X and 9 units of Y?
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$$\begin{array}{|c|c|}\hline x & {y} \\ \hline 25 & {5} \\ \hline 9 & {3} \\ \hline 1 & {1} \\ \hline 0 & {0} \\ \hline 1 & {-1} \\ \hline 9 & {-3} \\ \hline 25 & {-5} \\ \hline\end{array}$$
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