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Cobb-Douglas Production Function | Formula, Equation & Example

State the Cobb-Douglas Production Function. - Economics | Shaalaa.com

Cobb-Douglas production function During the 1920 s, Charles Cobb and Paul Douglas modeled total production output P (of a firm, industry, or entire economy) as a function of labor hours involved x and capital invested y (which includes the monetary worth of all buildings and equipment). The Cobb-Douglas production function is given by P(x, y)=k x^α y^1-α where k and αare constants representative of a particular firm or economy. a. Show that a doubling of both labor and capital results in a dou

Match each Cobb-Douglas production function (a)-(c) with a graph in Figure 12.71 and a statement (D)-(G). A. F(L, K)=L^025 K^0.25 B. F(L, K)=L^as K^05 C. F(L, K)=L^075 K^275 D. Tripling each input triples output. E. Quadrupling each input doubles output. G. Doubling each input almost triples output. (FIGURE CANNOT COPY) | Numerade

Suppose now that the two agents have different wealths, but identical Cobb-Douglas utility functions, ui(G, xi)=G^α xi^1-α, How big does the wealth difference between agent 1 and 2 have to be for agent 2 to contribute zero in equilibrium? | Numerade

Suppose that the production function is Cobb-Douglas. (a) Find expressions for k^*, y^*, and c^* as functions of the parameters of the model, s, n, δ, g, and α(b) What is the golden-rule value of k ? (c) What saving rate is needed to yield the golden-rule capital stock? | Numerade