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An economy is characterized by a marginal product of labor given by the equation MP N = 2KN^(1/2) , where K is the fixed capital

An economy is characterized by a marginal product of labor given by the equation MP N = 2KN^(1/2) , where K is the fixed capital stock.

(a) Using integration, derive the aggregate production function for this economy. Use the initial condition that output F(K, N) = F(4, 0) = 0.

(b) Find the aggregate labor demand function. Let w be the real wage.

(c) Suppose the aggregate labor supply function is N^s = w^2 . Find the equilibrium real wage, equilibrium level of employment and equilibrium level of output for this economy.

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