Show That the Utility Functions V(X,Y)= XᵃY¹⁻ᵃ and U(X,Y)= a Ln(X)

question 90

Essay

Show that the utility functions V(X,Y)= XᵃY¹⁻ᵃ and U(X,Y)= a ln(X)+ (1-a)ln(Y)represent the same ordering of bundles.

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Definitions:

Intoxication

A state of being poisoned or the physiological state produced by the consumption of substances that can impair cognitive and physical functions.

Binge Drinkers

Individuals who consume a large amount of alcohol in a short period, typically defined as five or more drinks for men, and four or more for women, in about two hours.

Ethnic Group

A community or population made up of people who share a common cultural background or descent.

Binge Drinking

The consumption of an excessive amount of alcohol in a short period, leading to acute intoxication.