Suppose Lan's utility function is U₁(x,y) =x₁y₁¹⁰ and Dan's utility function is Up(x,y) =xD³yD³, 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 Y should Lan get if we give Dan 14 units of good Y such that the allocation is efficient?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Suppose Lan's utility function is U₁(x,y) =x_y_¹0 and Dan's utility function is U₁(x,y) =xD³y5, where x; and y₁ 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 Y
should Lan get if we give Dan 14 units of good Y such that the allocation is efficient?
Transcribed Image Text:Suppose Lan's utility function is U₁(x,y) =x_y_¹0 and Dan's utility function is U₁(x,y) =xD³y5, where x; and y₁ 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 Y should Lan get if we give Dan 14 units of good Y such that the allocation is efficient?
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