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Question 3 Consider a simple two-person, one-good endowment economy in which in- = xi, for i e {1,2}, and the given by U( div

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Answer #1

1.

The given utility functions are:

uX1 UX

The feasibility constraint:

X1+X2 W

Substituting the value of the utility functions in the feasibility constraint:

U2W 2 Wu

2.

uX X1 =u

Substituting the value of new utility function for consumer 1 in the feasibility constraint:

X1X2 = W Vu U2 = W U2 W u

Is the new utility possibilities frontier.

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