An optimal investment policy for two firms in Kumasi

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The focus of this thesis has been to look at one of the widely applied and effective modeling tools of Operations Research known as Linear programming, and how it is applied to an investment decision problem of two Firms in Kumasi. The separate investment problems of the two firms are first modeled as a linear programming problem and solved. A joint investment problem is afterwards simulated and modeled into a linear programming problem which is then solved, a step taken to see whether the two firms stand to gain operating together. A sensitivity analysis is performed on the three investment models formulated. This is done to see how the solutions react to slight variations of some chosen parameters of the models, after which the best solutions to the three models are selected. Finally recommendations are made for an optimum investment policy for the two firms separately and jointly.
A thesis submitted to the Board of Postgraduate Studies, Kwame Nkrumah University of Science and Technology, Kumasi, in partial fulfilment of the requirement for the award of the Degree of Master of Science in Mathematics, 1994