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Consider two individuals 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
Evaluate the equilibrium price and quantity (a) Find the equilibrium price and quantity (b) If government in trying to control the price of the good fixes the price at c550
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note for assignment
define stagflation
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