Consider the “Cobb-Douglas” production function given by 𝑌=𝐴𝐾13𝐿23 where A is a positive constant. Suppose that the capital stock grows at 2% per year and the labour force grows at 1% per year. According to the production function, what will output growth be approximately?Group of answer choices1% per year2% per year3% per year4% per year

Production function (Cobb-Douglas)

Consider an economy with the production function  with . In a year in the capital stock grew at rate 5.6%, the population grew at 1.6%, and productivity grew at 5.5%, what is the growth rate of . (Note: provide answer as a percent growth rate)

Suppose an economy's output is determined by a Cobb-Douglas production function Y =AKL1-a where A=8.K-2, L=64 and a=0.2.The total amount of national income paid to labour and capital, respectively, is

The per-effective worker Cobb-Douglas production function for a country described by the Solow growth model with population growth and technological progress is . Assume the saving rate (s) is 14%, the depreciation rate (δ) is 5% per year, the population growth rate (n) is 1% per year, and the rate of technological progress (g) is 1%.Based on the above information, fill in the blanks. (Note: Provide all your answers with two decimal places.)a. The steady-state level of capital per effective worker

Consider the “Cobb-Douglas” production function given by 𝑌=𝐴𝐾𝛼𝐿1−𝛼 where 𝐴>0 and 0<𝛼<1. Which of the following is FALSE?Group of answer choicesThe marginal product of capital is positiveThe marginal product of labour is positiveThere is diminishing returns to capitalThere is decreasing returns to scale