Consider an economy with two agents and two commodities. Consumers' preferences are represented by the following utility functions u₁(x¹, x² ) = (x²) ¹ (x¹² ) ² u₂(x,x) = x² + x². Consumers' initial endowments are e¹ = (10,2) Note: You can normalize the price of one good to 1 at any point when solving this question. e² = (6,4). (a) Draw the Edgeworth box that represents this economy. Clearly indicate the size of the box (i.e. the maximal feasible amounts of good 1 and good 2). Show the location of the initial endowment and draw the indifference curve of each consumer that passes through the initial endowment.

Micro Economics For Today
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ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
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2. Consider an economy with two agents and two commodities. Consumers' preferences
are represented by the following utility functions
u₁(x,x) = (x²) ¹ (x²) ½
u₂(x², x²) = x² + x².
Consumers' initial endowments are
e² = (6,4).
Note: You can normalize the price of one good to 1 at any point when solving this
question.
e¹ = (10,2)
(a) Draw the Edgeworth box that represents this economy. Clearly indicate the size
of the box (i.e. the maximal feasible amounts of good 1 and good 2). Show the
location of the initial endowment and draw the indifference curve of each consumer
that passes through the initial endowment.
Transcribed Image Text:2. Consider an economy with two agents and two commodities. Consumers' preferences are represented by the following utility functions u₁(x,x) = (x²) ¹ (x²) ½ u₂(x², x²) = x² + x². Consumers' initial endowments are e² = (6,4). Note: You can normalize the price of one good to 1 at any point when solving this question. e¹ = (10,2) (a) Draw the Edgeworth box that represents this economy. Clearly indicate the size of the box (i.e. the maximal feasible amounts of good 1 and good 2). Show the location of the initial endowment and draw the indifference curve of each consumer that passes through the initial endowment.
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