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Suppose the consumer intends to determine how to minimize the expenditure on two goods, x and y to attain a given level of utility. (1)

Suppose the consumer intends to determine how to minimize the expenditure on two goods, x and y to attain a given level of utility. (1) Give a formal statement of the problem and drive the first-order conditions. (2) Derive the indirect objective function of the problem. (3) Use the envelope theorem to show that the Lagrangian multiplier measures the marginal cost of an additional unit of utility

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