Derive walrasian demand, hicksian deman fuctions for the following utility functions. Also derive the indirect utility function and expenditure function.
1) U(X1,X2)= 2x1
2) U(X1,X2)= min{2x1,4x2)
3) U(X1,X2) =max{2x1,2x2]
4) U(X1,X2)=x12x22
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