THE USE OF LINEAR PROGRAMMING MODEL IN RAW MATERIAL, RESOURCES ALLOCATION IN MANUFACTURING INDUSTRY

TABLE OF CONTENTS

Declaration.. iii

Certification.. iv

Dedication.. v

Acknowledgementvi

Table of Contents. viii

Abstractx

CHAPTER ONE.. 1

1.0 Introduction.. 1

1.1 Statement of the Problem.. 2

1.2 Purpose of the Study. 3

1.3 Significance of the Study. 3

1.4 Aim and Objectives of the Study. 4

1.5 Scope of the Study. 4

1.6 Limitation of the Study. 4

1.7 Research Hypothesis. 5

1.8 Research Question.. 5

1.9 Historical Background of Obelawo Plastic Group of Company, Nigeria. 6

1.10 Definition of Terms. 7

CHAPTER TWO.. 9

2.0 Review of Relevant Literature. 9

2.1 Introduction.. 9

2.2 Definition of Linear Programming. 12

2.3 Some Basic Concepts used in Linear Programming. 13

2.4 Characteristic of Linear Programming. 16

2.5 Application of Linear Programming. 18

2.6 Graphical Method Solution.. 19

2.7 Simplex Method Solution.. 21

2.8 The Dual Linear Programming Method. 22

2.9 Sensitivity Analysis. 23

CHAPTER THREE.. 25

3.0 Research Methodology. 25

3.1 Problems of Research.. 25

3.2 Method of Investigation.. 26

3.3 Research Design.. 26

3.4 Research Questions. 27

3.5 Research Instrument27

3.6 Sample Frame and Sample Unit28

3.7 Sample Size. 28

3.8 Sampling Procedure. 28

3.9 Research Procedure. 29

3.10 Collection of Data. 32

3.11 Design of Research Instrument33

CHAPTER FOUR.. 34

4.0 Data Presentation and Data Analysis. 34

4.1 Introduction.. 34

4.2 Data Analysis. 35

4.3 Graphical Method. 36

4.4 Simplex Method. 39

4.5 Testing of Hypothesis. 44

CHAPTER FIVE.. 46

5.0 Summary of Finding, Conclusion, Recommendations and Suggestion of Further Studies 46

5.1 Summary of Findings. 46

5.2 Conclusion.. 47

5.3 Recommendations. 47

5.4 Suggestion for Further Researches. 48

Bibliography. 49

ABSTRACT

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.