Let U(X,Y)=X+ln(Y). Show the effect of Py on X (i.e., ∂X/∂Py) and the effect of Px on Y (i.e., ∂Y/(∂Px), where Px and Py are prices of X and Y, respectively. Are ∂X/∂Py and ∂Y/∂Px the same? Specifically, are X and Y substitutes or complements? Why?
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