Suppose the representative firm's production function is Y (K, N) = AK/2 N/2 where K is...
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Suppose the representative firm's production function is Y (K, N) = AK¹/2 N¹/2 where K is the use of capital, N is the use of labor and A> 0 is the total factor productivity. I 7.1) Find the marginal product of labor. 7.2) Show that the production function features diminishing marginal prod- uct of capital. Suppose the real wage is denoted by w and the real rental rate of physical capital is denoted by r. 7.3) Please write down the firm's profit as a function of A, K, N, w, and r. 7.4) Please write down the profit-maximization condition and the labor de- mand function. Suppose the emergence of AI raises total factor productivity from A to A₁ and provides the representative firm labor-replacing robotics equivalent to 10 units of labor at no cost. 7.5) Please write down the firm's profit as a function of A, K, N, w, and r. 7.6) Please write down the profit-maximization condition and the labor de- mand function. Suppose the representative firm's production function is Y (K, N) = AK¹/2 N¹/2 where K is the use of capital, N is the use of labor and A> 0 is the total factor productivity. I 7.1) Find the marginal product of labor. 7.2) Show that the production function features diminishing marginal prod- uct of capital. Suppose the real wage is denoted by w and the real rental rate of physical capital is denoted by r. 7.3) Please write down the firm's profit as a function of A, K, N, w, and r. 7.4) Please write down the profit-maximization condition and the labor de- mand function. Suppose the emergence of AI raises total factor productivity from A to A₁ and provides the representative firm labor-replacing robotics equivalent to 10 units of labor at no cost. 7.5) Please write down the firm's profit as a function of A, K, N, w, and r. 7.6) Please write down the profit-maximization condition and the labor de- mand function.
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71 To find the marginal product of labor we take the derivative of the production function with resp... View the full answer
Related Book For
Managerial Economics
ISBN: 978-1118808948
8th edition
Authors: William F. Samuelson, Stephen G. Marks
Posted Date:
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