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Question: can someone please help me with this problem thank you...

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Can someone please help me with this problem? Thank you very much!

Consider a firm that uses only labor to produce with function Yt - ZtLq, where Yt is output (a variable), Zt is total factor productivity (a variable that the firm takes as given. i.e.. it is an exogenous variable), Lt . Let wt denote the wage rate (which the firm takes as given) and normalize the price of output to 1. Suppose that the firm wants to choose a cost-minimizing level of labor input in order to produce the constant level of output Y >0. As such, the firms cost minimization problem can be formally stated as: is labor input, and a > 0 is a parameter min wtLt such that Derive mathematically the firms cost minimizing level of labor.

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