Consider the utility function u(x 1 , x 2 ) x 1 x 2 What kind of preferences does it represent Is the function v(x 1 , x 2 ) x 2 1 x 2 a monotonic transformation of u(x 1 , x 2 ) Is the function w(x 1 , x 2 ) x 2 1 x 2 2 a monotonic transformation of u(x 1 , x 2 )

Question: Consider the utility function u(x 1 , x 2 ) = x 1 x 2 . What kind of preferences does it represent? Is the

Consider the utility function u(x₁, x₂) = √x₁x₂. What kind of preferences does it represent? Is the function v(x₁, x₂) = x²₁x₂a monotonic transformation of u(x₁, x₂)? Is the function w(x₁, x₂) = x²₁x²₂a monotonic transformation of u(x₁, x₂)?

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