Consider the following Cobb-Douglas production function: Y = AK“L® (1) where Y is aggregate output, K is capital, L is labour, and A, a, and ß are positive constants.
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Derive the output elasticity of labour.
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- Y=$10 trillion, K=$10 trillion, L=100 million workers Cobb-Douglas Production Function What is the production function ؟؟؟The aggregate production function is y=3KL. If they are 30 units of capital and 40 units of labor, what is aggregate output?Assume that we have a Cobb-Douglas type aggregate production function in the form: Y=WKr.L1-r where : W=technology and r is standard share parameter of Cobb-Douglas production function. a. Find Marginal Rate of Technical Substitution (MRTS) between K and L. b. Why does (or does not) technology affects MRTS? Explain. c. Find output per effective labor; capital per effective labor (y=Y/WL and k= K/WL ).
- Consider the production function Y = z * K^1/3 * N^1/3 * L^1/3 where Y is output, z is a parameter capturing technology, K is capital, N is labour and L is the area of land. Question text If we double the technology factor, z, then output will double. Question 17Select one: True False Question text If we increase the population, and therefore the workforce, then if nothing else changes, the average product of labour must increase. Question 18Select one: True False Question text We would need to increase capital input by a factor of 8 to double output. Question 19Select one: True False Question text Increasing technology will increase labour productivity. Question 20Select one: True FalseAssume that we have a Cobb-Douglas type aggregate production function in the form: Y=W.Kr.L1-r where : W=technology and r is standard share parameter of Cobb-Douglas production function. a. Find Marginal Rate of Technical Substitution (MRTS) between K and L. b. Why does (or does not) technology affects MRTS? Explain. c. Find output per effective labor; capital per effective labor (y=Y/WL and k= K/WL ). d. Find elasticity of substitution between K and L. Why does (or does not) the result different from previous question (Question-1) (Y=Ka.Lb) ?Given the following Cobb-Douglas production function, how much more output is produced by adding one more unit of capital (keeping labour constant) when K=100 and L=25? Y=4K0.5 L0.5 a.1 b.2 c.3 d.4
- Assuming that the production function [Y=A(K, L, N, H)] exhibits constant returns to scale we can derive productivity in the following way A.) Y/L = A(K, 1, H, N) B.) Y/L = A(K/L, 1, H/L, N/L) C.) Y/L = AK, AL, AH, AN D.) Y/L = C+I=G=NXAssume that we have a Cobb-Douglas type aggregate production function in the form: Y=W.Kr.L1-r where : W=technology and r is standard share parameter of Cobb-Douglas production function. b. Why does (or does not) technology affects MRTS? Explain. c. Find output per effective labor; capital per effective labor (y=Y/WL and k= K/WL ). d. Find elasticity of substitution between K and L. Why does (or does not) the result different from previous question (Question-1) (Y=Ka.Lb) ? (Question 1: Assume that we have a Cobb-Douglas type aggregate production function in the form: Y=Ka.Lb )The aggregate production function is Y = 3KL. If there are 20 units of capital and 50 units of labor, what is labor productivity? Group of answer choices 250 150 60 100
- Suppose the production function is Y = f(K, AN) and the economies of scale are invariant . When will output increase by 7% at a given skill level ? Please choose one. N and A increase by 7% each . K and AN increase by 7% each . N or A increases by 7% . Increases K or AN by 7%Q = A Lx Ky (Quantity, A, Labor, Capital) If A; X; Y are all positive numbers, does the production function exhibit Increasing return to scale, Constant return to scale or Decreasing return to scale?Given the labor force, either more capital or better technology will shift the production function downward. True False