Quadratic Production Function Estimate a quadratic production function where Q = output; L = labour input; K = capital input. Is the estimated production function “good”? Why or why not?   Cobb-Douglas Production Function Estimate the Cobb-Douglas production function Q= ¼ αLβ1Kβ2, where Q = output; L = labour input; K = capital input; and α, β1, and β2 are the parameters to be estimated. For the Cobb-Douglas production function, test whether the coefficients of capital and labor are statistically significant. For Cobb-Douglas production function, determine the percentage of the variation in output that is explained by the regression equation. For Cobb-Douglas production function, determine the labor and capital estimated parameters, and give an economic interpretation of each value. Determine whether this production function exhibits increasing, decreasing, orconstant returns to scale. (Ignore the issue of statistical significance.)

ENGR.ECONOMIC ANALYSIS
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Quadratic Production Function

  1. Estimate a quadratic production function where Q = output; L = labour input; K = capital input.
  2. Is the estimated production function “good”? Why or why not?

 

Cobb-Douglas Production Function

  1. Estimate the Cobb-Douglas production function Q= ¼ αLβ1Kβ2, where Q = output; L = labour input; K = capital input; and α, β1, and β2 are the parameters to be estimated.
  2. For the Cobb-Douglas production function, test whether the coefficients of capital and labor are statistically significant.
  3. For Cobb-Douglas production function, determine the percentage of the variation in output that is explained by the regression equation.
  4. For Cobb-Douglas production function, determine the labor and capital estimated parameters, and give an economic interpretation of each value.
  5. Determine whether this production function exhibits increasing, decreasing, orconstant returns to scale. (Ignore the issue of statistical significance.)
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