Question: 13. Consider the utility function u(x1 , x2 , x3 ) 5 x1/2 1 x1/2 2 x1/2 3 . Take natural logs of this function

13. Consider the utility function u(x1

, x2

, x3

) 5 x1/2 1 x1/2 2 x1/2 3 . Take natural logs of this function and calculate the marginal rates of substitution of each pair of goods. Can the natural log transformation be applied to utility functions of three goods such that the new utility function represents the same underlying tastes?

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