A social welfare function is thought to be additive along the lines proposed by Bentham and Mill: + Un W = U, + U2 + ... + where U; is individual i's utility and there are n individuals. Suppose an economy is made up of two individuals, John and Jane. John's utility function is Ujohn = 28/X and Jane's utility function is UJane = 2X. %D There is a fixed quantity of good X (100 units) evenly divided between John and Jane (50 units for each). Social welfare (W) is equal to: W = utils. (Enter your response rounded to the nearest whole number.) Social welfare could be improved if a portion of good X were transferred from to John Jane
A social welfare function is thought to be additive along the lines proposed by Bentham and Mill: + Un W = U, + U2 + ... + where U; is individual i's utility and there are n individuals. Suppose an economy is made up of two individuals, John and Jane. John's utility function is Ujohn = 28/X and Jane's utility function is UJane = 2X. %D There is a fixed quantity of good X (100 units) evenly divided between John and Jane (50 units for each). Social welfare (W) is equal to: W = utils. (Enter your response rounded to the nearest whole number.) Social welfare could be improved if a portion of good X were transferred from to John Jane
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![A social welfare function is thought to be additive along the lines proposed by Bentham and Mill:
+ Un
W = U, + U2 + ...
+
where U; is individual i's utility and there are n individuals.
Suppose an economy is made up of two individuals, John and Jane. John's utility function is
Ujohn = 28/X
and Jane's utility function is
UJane = 2X.
%D
There is a fixed quantity of good X (100 units) evenly divided between John and Jane (50 units for each).
Social welfare (W) is equal to:
W =
utils. (Enter your response rounded to the nearest whole number.)
Social welfare could be improved if a portion of good X were transferred from
to
John
Jane](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29702385-953d-4f81-a91e-17e99ae97064%2F22aca4a7-518a-4d55-b855-cbda754ab49d%2Fyrxuclr_processed.png&w=3840&q=75)
Transcribed Image Text:A social welfare function is thought to be additive along the lines proposed by Bentham and Mill:
+ Un
W = U, + U2 + ...
+
where U; is individual i's utility and there are n individuals.
Suppose an economy is made up of two individuals, John and Jane. John's utility function is
Ujohn = 28/X
and Jane's utility function is
UJane = 2X.
%D
There is a fixed quantity of good X (100 units) evenly divided between John and Jane (50 units for each).
Social welfare (W) is equal to:
W =
utils. (Enter your response rounded to the nearest whole number.)
Social welfare could be improved if a portion of good X were transferred from
to
John
Jane
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