Question: 5.3 As defined in Chapter 3, a utility function is homothetic if any straight line through the origin cuts all indifference curves at points of

5.3 As defined in Chapter 3, a utility function is homothetic if any straight line through the origin cuts all indifference curves at points of equal slope: the MRS depends on the ratio y/x.

Prove that, in this case, ∂x/∂I is constant.

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