Factor-product model for beef - a quadratic programming formulation

Date
1968
Authors
Yeh, Chia-lin Cheng
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[Honolulu]
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Abstract
This study proposes an operational model for interregional analysis within a quadratic 'programming framework. The specific objectives are: (1) to present a framework for the interregional analysis (a) where both demand and supply of final products and factors may be expressed by functional relationships (b) where both products and factors can be traded (c) where the quantity of flows and equilibrium prices of the products and factors are simultaneously determined, and (d) where the quadratic programming technique is used; (2) to determine the optimum product and factor flows and regional equilibrium prices of beef, feed grains and roughages through the application of the model. The study employed Samuelson's net social pay-off concept and used C. Van de Panne's simplex method to arrive at a solution for the quadratic programming model. Perfect competition is assumed to prevail in both the product and factor markets, and the existence of linear demand and supply relationships is also postulated. Regression analysis was used to derive the pertinent data. Empirical analyses for the years 1964 and 1975 were presented. The 1964 estimates were derived to serve as a basis for comparison. Shifts in data involving the transportation rate structure, and distribution of production and consumption were assumed for the year 1975 as a result of expected changes in market organization. Optimal patterns of prices and flows for beef, feed grains and roughages were determined for the alternatives. The economic explanation of the resulting solutions were also given. This analysis should contribute to the basic methodology of interregional competition, especially for those types of production activities which require consideration of shipments of both resources and products. It also enables the researcher to use the model for short-run projection since the functional relationships of demand and supply were derived from time series data. In the present study, the empirical findings can serve only as a crude guide, because the data needed is grossly oversimplified. The reliability of this guide, however, can easily be improved if relevant data is made available and a sufficiently large computer is used.
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Typescript.
Thesis (Ph. D.)--University of Hawaii, 1968.
Bibliography: leaves [116]-119.
vi, 119 l maps, tables
Keywords
Beef, Programming (Mathematics)
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Theses for the degree of Doctor of Philosophy (University of Hawaii (Honolulu)). Agricultural Economics; no. 184
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