Optimal Resource Allocation of a Cocoa Processing Company: Application of Integer Programming with Implicit Enumeration

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Date
2012
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Abstract
Most cocoa producing countries are moving from the traditional export of raw cocoa beans to cocoa processing countries due to the hike in profit at the finished end of the production chain. For example; cocoa processing Company Ghana Limited has been increasing in production tonnage consistently from two thousand (2,000) tonnes in 1983 to sixty two thousand five hundred (62,500) tonnes, currently. This thesis describes the resource allocation problem of Cocoa Processing Company Ltd. as an integer programming problem. We applied integer programming algorithm to solve the company’s resource allocation problem. Our research focused on the use of the integer programming problem for resource allocation given limited available funds for Cocoa Processing Company Ltd. in Ghana. The objective of this study is to mathematically model resource allocation problem of the Ghana cocoa processing company in the processing of the cocoa beans as a means of adding value to Ghana’s cocoa to earn higher foreign exchange. In our methodology, we used the implicit enumeration algorithms in solving our problem. First, the algorithm was presented. A real life computational study was performed to evaluate the algorithms. We used the Quantitative Method (QM 32) to analyze our data. Cocoa Processing Company Ltd. resource allocation problem for the processing of the cocoa beans into various consumable products was modelled as integer programming problem. The Quantitative Method (QM 32) software was used to analyze the data collected from the Company Processing Company Ltd. The optimal value was GH¢770,000.00. It was observed that the solution that gave this achievable value was the utilization of the available resources to produced 3,000kg Royale, 7,000kg Altime, and 1,000kg Vitaco
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Thesis submitted to the Institute of Distance Learning of the Kwame Nkrumah University of Science and Technology.
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