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Xavier and Yvette Are the Only Two Persons on a Desert

question 42

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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 3 units of berries and 8 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?


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