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Xavier and Yvette Are the Only Two Persons on a Desert

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Xavier and Yvette are the only two persons on a desert island.There are only two goods, nuts and berries.Xavier's utility function is U(Nx, Bx) = NxBx.Yvette's utility function is U(Ny, By) =2Ny + By.Xavier is endowed with 5 units of berries and 13 units of nuts.Yvette is endowed with 6 units of berries and 8 units of nuts.In a competitive equilibrium for this economy, how many units of berries does Xavier consume?


Definitions:

Public Sector

The portion of an economy that comprises government services and enterprises, including administration, defense, public education, and healthcare.

Private Sector

The part of the economy that is owned and managed by private individuals and companies, rather than by the state, and operates for profit.

Labour Relations

The study and practice of managing the relationship between employers and employees, particularly around issues such as wages, working conditions, and collective bargaining.

Craft Unions

Unions that represent skilled craft workers

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