Competitive equilibrium question

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Competitive equilibrium question

MR
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) = Nx .Bx.  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?