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In Example 4.1, we looked at the Cobb-Douglas utility function U(x,y) = x^a * y^(1-a), where 0 <= a <= 1. This problem illustrates a few more attributes of that function.a. Calculate the indirect utility function for this Cobb-Douglas case.b. Calculate the expenditure function for this case.c. Show explicitly how the compensation required to offset the effect of an increase in the price of x is related to the size of the exponent a.
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