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The market for good X consists of 2 consumers. Consumer 1's demand for good X is: X1= 15 - 3PX+ 0.5PY+ .02I1 Consumer 2's demand

  1. The market for good X consists of 2 consumers. Consumer 1's demand for good X is:
  2. X1= 15 - 3PX+ 0.5PY+ .02I1

Consumer 2's demand for X is:

X2= 10 - PX+ 0.2PY+ .01I2

I1and I2are incomes of consumers 1 and 2, respectively.PXand PYare the prices of goods X and Y, respectively.

a. What is the equation for the market demand function for X? Graph the two individual demand curves and the market demand curve for the case which I1= $2000, I2= $3000, and PY= $10.

b.Suppose PXrises from $5 to $5.05. What is the market price elasticity of demand?

C Suppose income is redistributed so that each consumer has $2500. If PX= 5 and PY= 10, how much does the quantity of X demanded change because of the redistribution?

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