The chapter one of this project deals with the introduction, statement of problem significance of the study scope of the study Aims and objective of the study. Limitation of the study Research hypothesis, research Question, Historical background and definition of terms. Chapter two deals with the introduction, definition of linear programming, Application of linear programming. The dual linear programming model and sensitivity Analysis. Chapter three deals with the problems and role of research in the life of a man, method of investigation, research deign, research question, research instrument, sample frame and unit research procedure, collection of data. Design of research instrument. Chapter four deals with data presentation and data analysis. Chapter five deals with summary of the Findings. Conclusion, Recommendation and Suggestion for further studies.
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