DSE 2015 Question 30: General equilibrium and exchange economies

An exchange economy has agents $1,2$ and goods $x,y$. Agent $1$ lexicographically prefers $x$ to $y$; agent $2$'s utility is $\min\{x,y\}$. Endowments are $(0,10)$ for $1$ and $(10,0)$ for $2$. The competitive equilibrium price ratio $p_x/p_y$