Xavier and yvette are the only two persons on an island, Physics

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Xavier and yvette are the only two persons on an island

Xavier and Yvette are the only two persons on an 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 has 3 berries and 8 nuts. Yvette has 6 berries and 8 nuts. In a competitive equilibrium for this island economy, how many units of berries will Xavier consume?

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Physics: Xavier and yvette are the only two persons on an island

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