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2. Labor Demand: Consider the problem of a firm who hires workers and produces output. The representative firm operates with the standard production technology *F(K, N) = =10.3 NO.7 where z denotes the total factor productivity, and K is a fixed amount of capital. Each of the firm's employees receives wage w, i.e. the total labor cost of the firm is equal to w/V . Derive the labor demand, assuming that K = 100 and z = 1. Make sure to state the firm's maximization problem and show all the steps in your derivation