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A translog cost function with constant returns to scale can be written as 1 Inc = Ina,+Ea, Inw, +, In w, In w, 2

A translog cost function with constant returns to scale can be written as ( ln c=ln alpha_{0}+sum_{j=1}^{n} a_{j} ln w_ 

A translog cost function with constant returns to scale can be written as 1 Inc = Ina,+Ea, Inw, +, In w, In w, 2 where e shows the minimum costs required for producing the output level y given the per unit input prices w for the n inputs. For the questions below, assume that we have two inputs and symmetric price effects, i.e., B, = B b) Derive the translog (output conditional) input demand function for input 1. Hint: Use logarithmic differentiation and find the input demand function expressed as a cost share.

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Differentiating the translog cost function with respect to input 1 we get dInC dIna a dInw EX B dInw ... blur-text-image

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