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(5) Separable utility (x12X2,L ∑ This yields first order conditions (xi= api so consumption depends only on the price for your own good and the marginal utility of income. There are cross-price elasticities but they only work through the marginal utility of income, or another way to think about this is if we normalize the price of good one to one, we have VI(x1)="bi for all i(5) Separable utility ux1, x2,... xL   i1 L vixi This yields first order conditions vi  xi  pi, so consumption depends only on the price for your own good and the marginal utility of income. There are cross-price elasticities but they only work through the marginal utility of income, or another way to think about this is if we normalize the price of good one to one, we have v1  x1  vi  xi pi for all i
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