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Consider the following three utility functions: U(X1, X2) = X1 + X2 W(X1, X2) = X1 +X2^2 V(X1, X2) = (X1 + X2)^1/3 Is V(X1,
Consider the following three utility functions:
U(X1, X2) = X1 + X2
W(X1, X2) = X1 +X2^2
V(X1, X2) = (X1 + X2)^1/3
Is V(X1, X2) a monotonic transformation of U(X1, X2)? Is W(X1, X2) a monotonic transformation of U(X1, X2)? Why?
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