Is the utility function below quasilinear?
$U(X,Y)=XY+10Y$
I know that an equation of the form $U(X,Y)=f(X)+Y$ is quasilinear but I'm not sure about functions of the form $U(X,Y)=f(X,Y)+Y$.
2026-04-03 06:57:20.1775199440
Quasilinear utility functions
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Wikipedia says, a utility function is quasilinear if can be brought into this form: $$U(x_1,x_2,\ldots,x_n)=x_1+\theta(x_2,\ldots,x_n)$$ But you can bring your utility function neither to this $$U(X,Y)=X+\theta(Y)$$ nor to this $$U(X,Y)=Y+\theta(X)$$ form. So, I would say: No. (But, hey, I'm no expert in economics, just applying the definition)