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Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = X2Y UB(X,Y) = X*Y2 Therefore: For

Suppose there are two consumers, A and B.

The utility functions of each consumer are given by:

UA(X,Y) = X2Y

UB(X,Y) = X*Y2

Therefore:

  • For consumer A: MUX= 2XY; MUY= X2
  • For consumer B: MUX= Y2; MUY= 2XY

The initial endowments are:

A: X = 30; Y = 90

B: X = 15; Y = 60

a)(20 points) Suppose the price of Y, PY= 1.Calculate the price of X, PXthat will lead to a competitive equilibrium.

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