10 Suppose Lan's utility function is U₁(x,y) =x₁6y₁¹0 and Dan's utility function is U₁(x,y)=xD³y5, where x; and y₁ den respectively the amount of good X and of good Y consumed by person i, i=L, D. A total of 44 of each good is available and it is to be divided efficiently between Lan and Dan. How many units of should Lan get if we give Dan 14 units of good Y such that the allocation is efficient? Enter the value of this amou good X below.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.11P
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Suppose Lan's utility function is U₁(x,y) =x_y_¹0 and Dan's utility function is Up(x,y) =xD³y5, where x; and y; denote
respectively the amount of good X and of good Y consumed by person i, i=L, D.
A total of 44 of each good is available and it is to be divided efficiently between Lan and Dan. How many units of good X
should Lan get if we give Dan 14 units of good Y such that the allocation is efficient? Enter the value of this amount of
good X below.
Transcribed Image Text:Suppose Lan's utility function is U₁(x,y) =x_y_¹0 and Dan's utility function is Up(x,y) =xD³y5, where x; and y; denote respectively the amount of good X and of good Y consumed by person i, i=L, D. A total of 44 of each good is available and it is to be divided efficiently between Lan and Dan. How many units of good X should Lan get if we give Dan 14 units of good Y such that the allocation is efficient? Enter the value of this amount of good X below.
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