6. Sarah likes food, z and clothing, y and has the following utility function: U(x,y) = 2x!/2y}/2. The price of food is 1 and the price of clothing is 4. Her income is 160. Due to a sudden shock to crops, the price of food increases to 4. What is now the minimum budget that Sarah would need to reach the same level of utility that she enjoyed before the price change?

Microeconomics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506893
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter7: Consumer Choice And Elasticity
Section: Chapter Questions
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6. Sarah likes food, x and clothing, y and has the following utility function: U(x, y) = 2x!/2y}/2. The price
of food is 1 and the price of clothing is 4. Her income is 160. Due to a sudden shock to crops, the price of
food increases to 4. What is now the minimum budget that Sarah would need to reach the same level of
utility that she enjoyed before the price change?
Transcribed Image Text:6. Sarah likes food, x and clothing, y and has the following utility function: U(x, y) = 2x!/2y}/2. The price of food is 1 and the price of clothing is 4. Her income is 160. Due to a sudden shock to crops, the price of food increases to 4. What is now the minimum budget that Sarah would need to reach the same level of utility that she enjoyed before the price change?
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