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PRODUCTION ANALYSIS Submitted by:- 		Urvashi Bhat         ID no. 05 		Dixita Chotalia      ID no. 12 		Vibha Jatav            ID no. 24 		Poonam Nangia     ID no. 40 		Kamal Panchal       ID no. 42
INTRODUCTION The topic has been selected to understand the theoretical aspect of production analysis in a real company.  Major objectives ,[object Object]
To measure the correlation of volume of output with labour as well as capital employed.
To study whether the production function of Tata steel is labour intensive or capital intensive.,[object Object]
Cobb Douglas Production Function Empirical estimation is the power function of the form Q = AKaLb,   Q = total production (the monetary value of all goods produced in a year)    L = labour input    K = capital input    A = total factor productivity    a and b are the output elasticity of labor and capital, respectively.
Properties of Cobb Douglas production Function ,[object Object]
Sum of exponents measures the returns to scale.
It can be estimated by regression analysisln Q = ln A + alnK + blnL ,[object Object],[object Object]
The marginal productivity of labor is proportional to the amount of production per unit of labor.
The marginal productivity of capital is proportional to the amount of production per unit of Capital.,[object Object]
REGRESSION ANALYSIS The statistical tool with the help of which we can estimate the unknown value of dependent variable from the known value of independent variable is called regression. In economics it is the basic technique for measuring or estimating the relationship among economic variable that constitute the essence of economic theory and economic life
The line describing the tendency to regress is called regression line. ,[object Object],            Simple regression analysis             Multiple regression analysis Simple regression analysis is used for estimating the value of dependent variable from the independent variable, when there is only one independent variable.
Y is the estimation of the dependent variable Y from the independent variable X. a and b are estimation parameters Multiple regression analysis is used for estimating the value of dependent variable from the independent variable, when there is more than one independent variable.  The a coefficient is vertical intercept and gives the value of Y when value of X1 and X2 = 0.b1 and b2 are slope coefficient, they measure the change in Y per unit change in X1 and X2.
CORRELATION  ANALYSIS The correlation is one of the most useful statistic, a correlation is a single number that describe the degree of relationship between two variables. Like all statistical technique, correlation is only appropriate for certain kinds of data. Correlation works for data in which numbers are meaningful, usually quantities of some sort. It cannot be used for purely categorical data, such as gender, brands purchased or favorite color.
[object Object],If r is close to 0, it means there is no relationship between the variables. If r is positive, it means that as one variable gets larger the other gets larger. If r is negative it means that as one gets larger, the other gets smaller (often called an “inverse “correlation).
DATA  COLLECTION
SUMMARY STATISTICS
DATA  ANALYSIS & INTERPRETATION
RESULT OF CORRELATION
RESULT OF REGRESSION
From the above regression result the production function of the Tata steel is as follow From the above production function of Tata steel it is interpreted that the volume of production is 5.5107 (Intercept).which mean, even if no labour or capital is employed in the production. If the company increases the capital employed by 1 the volume of production is increased by 0.3529 assume that labour is constant, and if the company increases labour employed by 1 unit the volume of production will increase by 0.0938 assume that capital is constant.
CONCLUSION ,[object Object]
 Company can increase its production by employee more unit of capital instead of the labour.

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Production analysis ppt

  • 1. PRODUCTION ANALYSIS Submitted by:- Urvashi Bhat ID no. 05 Dixita Chotalia ID no. 12 Vibha Jatav ID no. 24 Poonam Nangia ID no. 40 Kamal Panchal ID no. 42
  • 2.
  • 3. To measure the correlation of volume of output with labour as well as capital employed.
  • 4.
  • 5. Cobb Douglas Production Function Empirical estimation is the power function of the form Q = AKaLb, Q = total production (the monetary value of all goods produced in a year) L = labour input K = capital input A = total factor productivity a and b are the output elasticity of labor and capital, respectively.
  • 6.
  • 7. Sum of exponents measures the returns to scale.
  • 8.
  • 9. The marginal productivity of labor is proportional to the amount of production per unit of labor.
  • 10.
  • 11. REGRESSION ANALYSIS The statistical tool with the help of which we can estimate the unknown value of dependent variable from the known value of independent variable is called regression. In economics it is the basic technique for measuring or estimating the relationship among economic variable that constitute the essence of economic theory and economic life
  • 12.
  • 13. Y is the estimation of the dependent variable Y from the independent variable X. a and b are estimation parameters Multiple regression analysis is used for estimating the value of dependent variable from the independent variable, when there is more than one independent variable. The a coefficient is vertical intercept and gives the value of Y when value of X1 and X2 = 0.b1 and b2 are slope coefficient, they measure the change in Y per unit change in X1 and X2.
  • 14. CORRELATION ANALYSIS The correlation is one of the most useful statistic, a correlation is a single number that describe the degree of relationship between two variables. Like all statistical technique, correlation is only appropriate for certain kinds of data. Correlation works for data in which numbers are meaningful, usually quantities of some sort. It cannot be used for purely categorical data, such as gender, brands purchased or favorite color.
  • 15.
  • 18. DATA ANALYSIS & INTERPRETATION
  • 21. From the above regression result the production function of the Tata steel is as follow From the above production function of Tata steel it is interpreted that the volume of production is 5.5107 (Intercept).which mean, even if no labour or capital is employed in the production. If the company increases the capital employed by 1 the volume of production is increased by 0.3529 assume that labour is constant, and if the company increases labour employed by 1 unit the volume of production will increase by 0.0938 assume that capital is constant.
  • 22.
  • 23. Company can increase its production by employee more unit of capital instead of the labour.
  • 24.
  • 25. From the above result of the production function it is to conclude that the production of the Tata steel is capital intensive rather than the labour intensive. The production function of the Tata steel through the regression analysis which is helpful to understand that the production is capital intensive and it can also important to estimate the volume of production for the coming years.  
  • 26. BIBLIOGRAPHY BOOKS: Dominik Salvatore. (2008). managerial economics. new delhi: oxford university press. S.P.Gupta and M.P.Gupta. (2005). business statistics. new delhi: sultan chand & sons. P.L. mehta. (1999). managerial economics. new delhi.sultanchand & sons. WEBSITE: http://www.tatasteel.com/investors/performance/annual-report.asp http://www.moneycontrol.com/financials/tatasteel/balance-sheet/TIS