[Solved] In footnote 7 we showed that for a utility function for two goods to have a strictly diminishing MRS (i.

In footnote 7 we showed that for a utility function for two goods to have a strictly diminishing MRS (i. e., to be strictly quasi-concave), the following condition must hold: Uxx U2 y 2 2UxyUxUy 1 UyyU2 x , 0. Use this condition to check the convexity of the indifference curves for each of the utility functions in Problem 3.1. Describe the precise relationship between diminishing marginal utility and quasi-concavity for each case.

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