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Deriving the optimality condition αN = (1-α)wN/Y from marginal product
If I'm given a firm's production function of $$Y=zK^{\alpha}{N}^{1-\alpha}$$ Then assuming $$K$$ is fixed and cost free, we can get our profit maximzation problem of $$\max_{{N}}zF(K^{\alpha}{N}^{1-\alpha})-wN$$ To find the optimality condition, $${MP}_{N}=w$$ , I take the partial...- Ginnee
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