(See) Consider an economy consisting of two consumers with utility functions and endowments as follows:


Question: Consider an economy consisting of two consumers with utility functions and endowments as follows:

\[\begin{array}{ll} u_{1}\left(x_{1}^{1}, x_{2}^{1}\right)=2 x_{1}^{1}+x_{2}^{1} & \text { and } \omega_{1}=(1,6) \\ u_{2}\left(x_{1}^{2}, x_{2}^{2}\right) & =x_{1}^{2}+x_{2}^{2} & \text { and } \omega_{2}=(3,4) . \end{array}\]
  1. Find all the Pareto efficient allocations.
  2. Find all the equilibria.

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