In economics and econometrics, the Cobb-Douglas production function is a particular functional form of e production function, widely used to represent the technological relationship between the amounts of two : more inputs (particularly physical capital and labor) and the amount of output that can be produced by nose inputs. The function they used to model production is defined by, P(L, K) = 6LªK1-a where P is the total production (the monetary value of all goods produced in a year), L is the amount labor (the total number of person-hours worked in a year), and K is the amount of capital invested (the onetary worth of all machinery, equipment, and buildings). Its domain is {(L, k)|L > 0, K > 0} because L nd K represent labor and capital and are therefore never negative. Show that the Cobb-Douglas production function can be written as P = In b +a ln K L P(L, K) = ¿LªK!-a → In K
In economics and econometrics, the Cobb-Douglas production function is a particular functional form of e production function, widely used to represent the technological relationship between the amounts of two : more inputs (particularly physical capital and labor) and the amount of output that can be produced by nose inputs. The function they used to model production is defined by, P(L, K) = 6LªK1-a where P is the total production (the monetary value of all goods produced in a year), L is the amount labor (the total number of person-hours worked in a year), and K is the amount of capital invested (the onetary worth of all machinery, equipment, and buildings). Its domain is {(L, k)|L > 0, K > 0} because L nd K represent labor and capital and are therefore never negative. Show that the Cobb-Douglas production function can be written as P = In b +a ln K L P(L, K) = ¿LªK!-a → In K
Principles of Economics (MindTap Course List)
8th Edition
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter18: The Markets For The Factor Of Production
Section: Chapter Questions
Problem 9PA
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