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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
if the marginal production of labor is rising, is the marginal cost of production rising or falling? Briefly explain
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