What is the optimal distribution of utilities, Microeconomics

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What is the optimal distribution of utilities

Problem

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} ?

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.

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