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Independent marginal utilities Two goods have independent marginal utilities if Show that if we assume diminishing marginal utility for each good, then any utility function

Independent marginal utilities

  

Two goods have independent marginal utilities if

  

      

  

Show that if we assume diminishing marginal utility for each good, then any utility function with independent marginal utilities will have a diminishing MRS. Provide an example to show that the converse of this statement is not true.

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