The Cobb- Douglas production function is given by the form Y = ALaKß Where, Y = Output (mt/day), L = Labour (hours/mt) K= Capita (Rs/mt). By taking the natural logarithm of each term in the function, that is LnY = LnA+«LNL+BL1K. Using a standard multiple linear regression model the parameters of the function were obtained as follows; Ln Y = 1.389 +0.8LNL + +0.6LnK (0.53) (0.02) (0.04) The standard error for each estimated parameter is shown in parentheses below the estimate. а) b) с) Construct the Cob- Douglas production function Measure marginal product of labour and marginal product of capital when L=10 and K=5 Determine factor intensity and returns to scale of this production function.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
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The Cobb- Douglas production function is given by the form Y = ALAKB
Where, Y = Output (mt/day), L = Labour (hours/mt) K = Capita (Rs/mt). By taking the natural logarithm
of each term in the function, that is LnY = LnA+«LNL+BLNK. Using a standard multiple linear regression
model the parameters of the function were obtained as follows;
Ln Y = 1.389 +0.8LnL + 0.6LnK
(0.53) (0.02)
(0.04)
The standard error for each estimated parameter is shown in parentheses below the estimate.
а)
b)
Construct the Cob- Douglas production function
Measure marginal product of labour and marginal product of capital when L=10 and K=5
Determine factor intensity and returns to scale of this production function.
Calculate elasticity of labour and elasticity capital and interpret the results.
Is this production function exhibit the law of diminishing returns in the short run?
Construct the equation for isoquant.
Distinguish between Cobb Douglas production function and Classical production function
Transcribed Image Text:The Cobb- Douglas production function is given by the form Y = ALAKB Where, Y = Output (mt/day), L = Labour (hours/mt) K = Capita (Rs/mt). By taking the natural logarithm of each term in the function, that is LnY = LnA+«LNL+BLNK. Using a standard multiple linear regression model the parameters of the function were obtained as follows; Ln Y = 1.389 +0.8LnL + 0.6LnK (0.53) (0.02) (0.04) The standard error for each estimated parameter is shown in parentheses below the estimate. а) b) Construct the Cob- Douglas production function Measure marginal product of labour and marginal product of capital when L=10 and K=5 Determine factor intensity and returns to scale of this production function. Calculate elasticity of labour and elasticity capital and interpret the results. Is this production function exhibit the law of diminishing returns in the short run? Construct the equation for isoquant. Distinguish between Cobb Douglas production function and Classical production function
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