# Derive the optimal demand Marshallian demand function for X and for Y.

**Question description**

Given the following monotonically transformed utility function faced by the consumer

ln*U*(X, Y) = *0.5*lnX+0.5 lnY

_{x}and the price of good Y

_{}is P

_{y}. Derive the optimal demand (Marshallian demand) function for X and for Y.

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