Abstract

The secret to success in any industry in the globalization era is integrated planning for production, manpower, and capacity. A mathematical model for estimating the ideal needed manpower, lot size, and capacity is developed in this study. The three goals of this linear programming model are to maximize production quantity, minimize production costs, and maximize capacity utilization. Making judgments about how effectively to allocate scarce resources is a responsibility of the production manager in order to ensure maximum utilization of those resources on the production floor. In this research, linear programming techniques are used to tackle a production planning problem at a feed mill producing company. The linear programming model was built using the company's daily activity data. Data processing was done using Management Scientist Version 5.0. According to the report, increasing profit can be achieved by eliminating less profitable products and simplifying the product line. This implies that in order to increase monthly profit, the business might use the results of linear programming techniques in production planning. This study has demonstrated the effectiveness of linear programming approaches as tools for managers to use when making decisions, allocating scarce resources, and identifying opportunities for improving operations and profits.

References

1. Anderson, D. R., Sweeney, D. J., Williams, T. A., & Wisniewski, M. (2000). An introduction to management science: quantitative approaches to decision making. South-Western College Pub..
2. Dantzig, G. B. (1949). Programming of interdependent activities: II mathematical model. Econometrica, Journal of the Econometric Society, 200-211.
3. Dantzig, G.B. (1963): Compact basis triangularization for the simplex method, R.L. Graves and P. Wolfe (eds.), Recent Advances in Mathematical Programming, McGraw-Hill, New York, pp.125–132.
4. Drayer, W. and Seabury, S. (1975). Linear programming - A case example, strategy & leadership, 3(5), pp.24-26.
5. Fagoyinbo, I. S. (2008). Compendious text on quantitative techniques for professionals. Ilaro, Nigeria, Jombright Productions.
6. Frederick, H.S. and Lieberman, J.G., (2001). Introduction to Operations Research, McGraw-Hill, Operations research - 1214 pages.
7. Banjoko, S. A. (2002). Production and operations management. Lagos: Pumark Nig. Limited.
8. Wild, R. (1997). Production and operation management. New York: Cassel Educational Ltd.
9. Amole, B. B., Adebiyi, S.O. and Osuolale, O.M., (2016). Production planning in the Nigerian detergent producing firm: A linear programming method. Fountain University Journal of Management and Social Science, 5(1).
10. Kumar, S. A. and Suresh, N. (2008). Production and Operations Management (Second Edition). New Delhi: New Age International (P) Limited, Publishers.
11. Umoh, G. I., Wokocha, I. H. and Amah, E. A. (2013). Production planning and corporate productivity performance in the Nigerian manufacturing industry. IOSR Journal of Business and Management, 14(2), 01 – 07.
12. Higgins, J.M. (2001). Strategic management and operations. Chicago: The Diyden Press.

Download PDF
Back