Draw the utility frontier what is the optimal distribution, Microeconomics

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Draw the utility frontier what is the optimal distribution

Question: 1. Suppose that the utility possibility frontier for two individuals is given by U_A + 2U_B = 200.

a- Draw the utility frontier

b- If the social welfare function is of the Nietzschean type, W =max{U_A, U_B}, what is the optimal distribution of utilities

c- What is the optimal distribution if instead the welfare function is of the Rawisian type, W = min{U_A, U_B} ?

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Microeconomics: Draw the utility frontier what is the optimal distribution

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