Suppose you have the following indirect utility function: V (Px» Py, I) = In PxPy %3D What are marshallian demands for x and y? O(8x, 8y) = (: %3D 2px 2py 1 O(gx, 8y) = (In 2py 2px O(gx, gy) = (exp(2p.Py -), exp(2p.Py O(gx»8y) = (; 2p, +P, Px+2py What is the expenditure function for the associated expenditure minimization problem? OE(Px, Py, U) = (px + Py) In(U) OE(Px, Py, U) = Vexp(U)PxPy %3D OE(Px, Py, U) = (pi + p3) In(U) OE(P. Py U) = exp(U)p.Py
Suppose you have the following indirect utility function: V (Px» Py, I) = In PxPy %3D What are marshallian demands for x and y? O(8x, 8y) = (: %3D 2px 2py 1 O(gx, 8y) = (In 2py 2px O(gx, gy) = (exp(2p.Py -), exp(2p.Py O(gx»8y) = (; 2p, +P, Px+2py What is the expenditure function for the associated expenditure minimization problem? OE(Px, Py, U) = (px + Py) In(U) OE(Px, Py, U) = Vexp(U)PxPy %3D OE(Px, Py, U) = (pi + p3) In(U) OE(P. Py U) = exp(U)p.Py
Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.5P
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