An island community has two residents: Katie and Dylan. Katie has a utility function - of Uk (2W)+1,000. Dylan's utility function is represented by Up 4 W². Here, W measures the wealth of each person. Assume Katie currently has $2, and Dylan has $4. 1) What is the island's welfare from the Utilitarian perspective? 2) What is the town's welfare from the Rawlsian perspective? 3) Describe a transfer between the residents of the island community that will maximize the island's welfare from the Rawlsian perspective. (Hint: Make sure to include who the transfer is from, who receives the transfer, and how much wealth is transferred.)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Question 20
An island community has two residents: Katie and Dylan. Katie has a utility function
of Uk - (2W)+1,000, Dylan's utility function is represented by Up = 4'W?. Here, W
measures the wealth of cach person. Assume Katie currently has $2, and Dylan has
$4,
1) What is the island's welfare from the Utilitarian perspective?
2) What is the town's welfare from the Rawlsian perspective?
3) Describe a transfer between the residents of the island community that will
maximize the island's welfare from the Rawlsian perspective. (Hint: Make sure to
include who the transfer is from, who receives the transfer, and how much wealth is
transferred.)
Transcribed Image Text:Question 20 An island community has two residents: Katie and Dylan. Katie has a utility function of Uk - (2W)+1,000, Dylan's utility function is represented by Up = 4'W?. Here, W measures the wealth of cach person. Assume Katie currently has $2, and Dylan has $4, 1) What is the island's welfare from the Utilitarian perspective? 2) What is the town's welfare from the Rawlsian perspective? 3) Describe a transfer between the residents of the island community that will maximize the island's welfare from the Rawlsian perspective. (Hint: Make sure to include who the transfer is from, who receives the transfer, and how much wealth is transferred.)
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