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Consider a one-period closed economy in which a representative consumer who likes consumption (C) and leisure...

Consider a one-period closed economy in which a representative consumer who likes consumption (C) and leisure (l) has an endowment of time equal to h hours. This economy has access to a technology described by a Cobb-Douglas production function: F(K,N) = KN^(1-α ), where the amount of capital K is fixed and given, and N is the labor input. There is no government in this economy.  

=> Define a Competitive equilibrium for this economy. Show that if the labor market clears, then output must be equal to consumption  

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