A Note on the Relationship among the Shape of the Production Possibility Frontier, ‘Returns to Scale’ and ‘Returns to Factors’ under Cobb–Douglas Production Function

2016 ◽  
Vol 4 (2) ◽  
pp. 173-184 ◽  
Author(s):  
Merter Mert
Keyword(s):  
Production Function ◽  
Economies Of Scale ◽  
Returns To Scale ◽  
Scale Economies ◽  
Production Possibility ◽  
Production Possibility Frontier ◽  
The Relationship ◽  
Douglas Production Function

The purpose of this study is to examine relationship among returns to scale, returns to factors and the shape of the production possibility frontier under Cobb–Douglas production function. The study asks the following question: How can production possibility frontier be drawn (a) if returns to scale are constant, increasing and decreasing and (b) if returns to factors are constant, increasing and decreasing? The main finding of the study is as follows: When (a) returns to factors are constant or increasing or decreasing and (b) returns to scale (economies of scale internal to the firm) are constant or increasing or decreasing, the production possibility frontier can be bowed in or bowed out or be linear under certain conditions.

scholarly journals Some Characterizations of the Cobb-Douglas and CES Production Functions in Microeconomics

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Xiaoshu Wang ◽  
Yu Fu
Keyword(s):  
Differential Geometry ◽  
Economic Analysis ◽  
Production Function ◽  
Production Functions ◽  
Euclidean Spaces ◽  
Production Possibility ◽  
Constant Return ◽  
Production Possibility Frontier ◽  
Theory Of Production ◽  
Douglas Production Function

It is well known that the study of the shape and the properties of the production possibility frontier is a subject of great interest in economic analysis. Vîlcu (Vîlcu, 2011) proved that the generalized Cobb-Douglas production function has constant return to scale if and only if the corresponding hypersurface is developable. Later on, the authors A. D. Vîlcu and G. E. Vîlcu, 2011 extended this result to the case of CES production function. Both results establish an interesting link between some fundamental notions in the theory of production functions and the differential geometry of hypersurfaces in Euclidean spaces. In this paper, we give some characterizations of minimal generalized Cobb-Douglas and CES production hypersurfaces in Euclidean spaces.

The evidence on the existence of economies Of scale in local government units

2017 ◽  
Vol 1 (2) ◽  
pp. 379 ◽  
Author(s):  
Primož Pevcin
Keyword(s):  
Local Government ◽  
Economies Of Scale ◽  
Returns To Scale ◽  
Scale Economies ◽  
Scale Efficiency ◽  
Data Envelopment ◽  
Administrative Costs ◽  
Government Operation ◽  
Major Reform ◽  
Limited Scale

<p>The purpose of this paper is to empirically verify if the possible existence of scale economies actually supports the argument that municipal consolidation is needed in Slovenia. The major reform of local self-government in Slovenia was implemented in 1994, when the transformation of existing 58 »communal« municipalities was envisaged. From 1995 onwards, the number of municipalities increased to the current number of 212 municipalities. Consequently, the necessity to implement structural reforms of local self-government in Slovenia has been stressed. The arguments favoring municipal amalgamations stressed that country has become too fragmented and municipal amalgamation would enable the reduction of (administrative) costs, and increase efficiency as well as quality of services provided, indicating that technical aspects of local government operation are targeted. Following, technical efficiency of Slovenian municipalities is estimated with the Data Envelopment Analysis (DEA) method, in order to determine if (and which) municipalities are experiencing increasing returns to scale (i.e., scale economies). The results indicate that there is important scale efficiency component, and predominantly very small municipalities are experiencing economies of scale, but their number is relatively low. Therefore, one of the classical arguments for municipal amalgamation, achieving economies of scale, can only be applied at a limited scale. This does not imply that more extensive amalgamation is not warranted, but it demands that other arguments justifying municipal amalgamation should be presented.  </p>

scholarly journals COST LEADERSHIP STRATEGY, COMPETITIVE ADVANTAGE, AND PERFORMANCE: A CROSS-SECTIONAL STUDY IN THE CONTEXT OF MILK PROCESSING FIRMS IN KENYA

2020 ◽  
Vol 6 (2) ◽  
pp. 64-76
Author(s):  
Paul G. Kimiti ◽  
Stephen M. A. Muathe ◽  
Elishiba M. Murigi
Keyword(s):  
Competitive Advantage ◽  
Economies Of Scale ◽  
Scale Economies ◽  
Economies Of Scope ◽  
Cost Leadership ◽  
Milk Processing ◽  
Leadership Strategy ◽  
And Performance ◽  
The Relationship ◽  
Cost Leadership Strategy

Purpose of the study: Cost leadership strategy is driven by economies of scale, economies of scope, and operational efficiency is a remedy to a performance where firms are facing high costs. This study sought to investigate the influence of cost leadership strategy on the performance of milk processing firms in Kenya through the lens of competitive advantage as a mediator. Methodology: The study adopted descriptive and explanatory non-experimental research designs. It was a census of all 29 milk processing firms registered with Kenya Dairy Board as of June 2019. Sampling was done using proportionate stratified random sampling technique and data was collected using self-administered semi-structured questionnaires. The analysis was done using means, standard deviations, and regression. Main Findings: The findings showed that a cost leadership strategy had a positive and significant effect on the performance of milk processing firms in Kenya with a competitive advantage partially mediating the relationship. The constituent measures of cost leadership strategy namely economies of scale, economies of scope, and operational efficiency accounted for 40.1% of the variation in firm performance. Applications of this study: This study provides suggestions for firms to manage costs and therefore improve performance. This is by increasing the size of operations, expanding into related business areas, and improving operational processes. Novelty/originality of this study: The study examines the influence of cost leadership strategy in a new context of milk processing firms in Kenya. It also incorporates a competitive advantage as a significant variable affecting the relationship between costs and performance.  

scholarly journals AN ECONOMIC ANALYSIS OF BARLEY PRODUCTION FUNCTIONS IN WASIT PROVINCE FOR 2014

2017 ◽  
Vol 48 (4) ◽  
Author(s):  
AL-ENIZY & AL-KAISY
Keyword(s):  
Production Function ◽  
Returns To Scale ◽  
Influential Factor ◽  
Production Functions ◽  
High Productivity ◽  
Second Stage ◽  
Use Of Resources ◽  
Economic Production ◽  
Two Factors ◽  
The Relationship

The production function of the important methods in the analysis in the components of the production process , by it can be identified the increasing in production for a given amount of resources , there for the objective of search analysis economic production functions of barley crop and knowing nature of the relationship between the factors , to fulfill the requirements of the research we are collected questionnaire from 130 farmers from crop farmers in Wasit province . We estimated by using Cobb-Douglas production function production function and restricted Cobb-Douglas. The results showed that the capital is the most influential factor in the production of barley since raised by 1% will increase production by 0.43% in a Cobb-Douglas function because the capital increase means increasing the technology used , and the factors use fall in the second stage and functions are subject to diminishing returns to scale and ealasticity replacement amounting to 0.76 indicates to the inability to intensity labour to the capital account G.Tintner test pointed to the superiority of the Cobb-Douglas unrestricted model . Also estimated the TL production function according to the random border analysis using the Frontier program , and in a way of the greatest possible ML which shows that if we increased employment by 1% , the production will increase by 0.33 and cross elasticity between labour and capital , amounting to 0.16 has shown to replacement relationship the two factors and technical effeciency at the level of the sample averaged 90% and there was no apparent effect of the acquisition . The research recommended encourage farmers to adopt improved varieties and use of resources packages with high productivity and try to stimulate the demand side of attention to livestock.

Comparing the Predictive Ability of T-Method and Cobb-Douglas Production Function for Warranty Data

2009 ◽  
Author(s):  
Protyusha DasNeogi ◽  
Elizabeth Cudney ◽  
Akim Adekpedjou ◽  
Rodney Kestle
Keyword(s):  
Production Function ◽  
Signal To Noise Ratio ◽  
High Reliability ◽  
Market Competition ◽  
Predictive Ability ◽  
True Value ◽  
Quality Of Products ◽  
Relationship Of ◽  
The Relationship ◽  
Douglas Production Function

Predictive models are used in an attempt to anticipate future transitions, mitigate losses, and maximize economic gains. In today’s market, companies look for high reliability and quality of products due to great market competition. Hence warranty data is of considerable interest to companies. Warranty shows the ability of a system or component to perform its functions within a given customer usage. Many statistical and data mining methods are available to predict the warranty data. This study focuses on analyzing the predictive efficiency of the T-method and Cobb-Douglas production function on warranty data by comparing their prediction capability. The T-method, developed by Genichi Taguchi, is founded upon the fundamentals of the Taguchi System of Quality Engineering which is used to calculate an overall prediction based on signal-to-noise ratio. Using this method, the required parameters are calculated to obtain an overall estimate of the true value of the output for each signal member. The Cobb-Douglas production function is then applied on the same dataset. In economics, the Cobb-Douglas functional form of production function is widely used to represent the relationship of the output to inputs. The strength of the relationship is then assessed using the R-squared and adjusted R-squared values.

scholarly journals The Effects of New Entries on Economic Growth: a Story on Advanced and Laggard Sectors

2021 ◽  
Author(s):  
◽  
Vera Hansen
Keyword(s):  
Economic Growth ◽  
Human Capital ◽  
Theoretical Model ◽  
Empirical Evidence ◽  
Production Function ◽  
Physical Capital ◽  
Endogenous Growth Model ◽  
The Relationship ◽  
Positive Effect ◽  
Douglas Production Function

<p>The main goal of this thesis is to construct a theoretical model that provides an explanation for the relationship between growth and new entry that is consistent with empirical evidence. The model is a four sector endogenous growth model in which there is a technologically advanced and a technologically laggard consumption goods which are imperfect substitutes. The production of each good requires its own stock of human capital and physical capital. The accumulation of physical capital and human capital in each industry is modelled by a Cobb-Douglas production function. The main result of the model is that new entries have a positive effect on the fraction of the existing stock of human capital devoted to the accumulation of human capital in both the advanced and laggard sectors. However, this effect is stronger in the advanced sectors than in the laggard sectors. This result is consistent with empirical evidence.</p>

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