Consider a consumer with the following quasi-linear utility function Assume that the consumer faces a price of $1 for good Y, and a total income of $120. The price of good X decreases from $4 to $2. a) Find the optimal basket at the initial price P = $4. Label it basket A. %3D b) Find the optimal basket at the final price of P = $2. Label it basket C. c) What is the total effect of the price change? d) Find the decomposition basket (label it B) that will allow us to decompose the total change in X into the substitution effect and the income effect. Recall that the decomposition basket must satisfy two conditions: (1) it must generate the same utility level as the initial bundle A (2) Its tangency occurs with the decomposition budget line that has the same slope as the new budge
Consider a consumer with the following quasi-linear utility function Assume that the consumer faces a price of $1 for good Y, and a total income of $120. The price of good X decreases from $4 to $2. a) Find the optimal basket at the initial price P = $4. Label it basket A. %3D b) Find the optimal basket at the final price of P = $2. Label it basket C. c) What is the total effect of the price change? d) Find the decomposition basket (label it B) that will allow us to decompose the total change in X into the substitution effect and the income effect. Recall that the decomposition basket must satisfy two conditions: (1) it must generate the same utility level as the initial bundle A (2) Its tangency occurs with the decomposition budget line that has the same slope as the new budge
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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