Question: Consider the utility function =(1... ) where , =1,2,..., are the quantities of the n goods consumed. Let the price of good be , =1,2,...,.

Consider the utility function =(1... ) where , =1,2,..., are the quantities of the n goods consumed. Let the price of good be , =1,2,...,. Let M be the consumer's income. Show that the Lagrangian multiplier of the utility maximization problem equals the marginal utility of income.

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