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Question: Consider the following Utility Functions below:
a. U = X2 + Y2
b. U = X2Y2
c. U = XY2
d. U=XY + X + Y
1. Assume the initial prices are Px = $2, Py =$4 and M = $100. Find the utility maximizing consumption bundle for each utility function.
2. Now derive the demand curve for Good X for each of the utility functions (Hint: solve the equations but do not substitute in for Px)
3. Using the demand curve for Good X derived above, calculate the price elasticity of demand for Good X at Px=$2. Note: calculate the point elasticity of demand.
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