Find contract curve, Microeconomics

Consider two individualsĀ  M and F who must split 20 units of good X and 10 units of good Y. Suppose we can represent M's preference with the utility function

Um =X^2mYm and Fs preference with the utility

Uf = min{Xf, 2Yf}

Where Xm and Xf indicate their X consumption, while Ym and Yf indicate their Y consumption

a) Derive the MRS for M

b) Interpret F's utility function

c) Find and graph the contract curve

d) What is the ratio of the price of X to the Price of Y in competitive equilibrium?

e) To which allocation will M and F trade? Indicate this outcome clearly in your graph

Posted Date: 2/25/2013 2:02:57 AM | Location : United States






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