Suppose there are only two people, simon and charity, who must split a fixed income of $100. for simon, the marginal utility of income is 400 2ssmui whereas for charity the marginal utility of income is 400 6ccmui where si and ci are the amounts of income for simon and charity, respectively. a. [5 points] what is the optimal distribution of income if the social welfare function is additive? b. [5 points] what is the optimal distribution if society values only the utility of charity? what if the reverse is true? comment on your answers. c. [5 points] finally, comment on how your answers change if the marginal utility of income for both simon and charity is constant: 400scmu mu.
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