DSE 2005 Question 1: General equilibrium and exchange economies

Consider a competitive exchange economy with two agents ($1$ and $2$) and two goods ($X$ and $Y$). Agent $1$'s endowment of $(X,Y)$ is $(100,100)$ and Agent $2$'s endowment is $(50,0)$. An allocation for Agent $i$ is $(x_i,y_i)$. Agent $1$ maximizes $\min\{x_1,y_1\}$ and Agent $2$ maximizes $x_2+y_2$. An example of a competitive equilibrium allocation for this economy is