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Imagine you are in a hypothetical world where you are asked to design your model society. There will be two groups or classes of equal size, one called "richer" and the other "poorer." You will get to live in the society you design after you have answered the question "how rich should the richer class be and how poor should the poorer class be?" But which class you get to be in will be determined by the flip of a coin after you have decided how unequal the society will be.

The graph below depicts a feasible set where you can choose between feasible income distributions. The curved line passing through E and D is the frontier of the feasible set of income distributions for the economy.

Which of the following is true.

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