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Question 10 (10 points) [10 marks] An economy has 2 people. Agent 1 has utility function Uj (x, y) = x + y and Agent

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Question 10 (10 points) [10 marks] An economy has 2 people. Agent 1 has utility function Uj (x, y) = x + y and Agent 2 has utility function Uz (x, y) = min (x, 2y). Each agent has an initial allocation of 100 units of x and 100 units of y. 1. [4 marks] Draw the Edgeworth box with good x on the horizontal axis. The quantities of Agent 1 is measured from the lower left corner and the quantities of Agent 2 is measured from the upper right corner. Mark the initial endowment and label it with E. Draw the indifference curves that passes through the endowment point for both agents. Don't forget to label all axis. 2. [6 marks] Find the competitive equilibrium prices and consumptions for each type of person by setting the good y numeraire. Show your equilibrium point on your Edgeworth box and label it with X. Paragraph BI U

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