LINEAR PROGRAMMING AS DECISION MAKING TOOL FOR OPTIMAL PRODUCTION: A CASE STUDY OF YOGHURT PRODUCTION BY ATS MULTI-CONCEPT WORLDWIDE LTD IN KATSINA STATE, NIGERIA

  • J Abubakar Department of Mathematics, Federal University Dutse
  • Ibrahim Lwafu Abdullahi Department of Mathematics, Federal University Dutse, Jigawa State.
  • Sani Usman
  • N. Danjuma
  • Baba Galadima Agaie
Keywords: Optimization, Operation Research, Linear Programming, Simplex Method

Abstract

This research aimed at profit maximization of a production company located in Sabuwa Local government area of Katsina State, Nigeria using Linear programming model. The production data was obtained from the company after which a linear programming model was developed and solved using two different application software; The Ms Excel solver and PHP simplex. The results obtained showed a significant positive increase in profit. The analysis shows that for optimum profit based on the available raw materials used in this research, the company should produce 1,097 pieces of Y_2 yoghurt and 1,470 pieces of 50cl yoghurt per production. If the product mix is used, a profit of N 19,089.66 will be obtained by the company.

Author Biography

N. Danjuma
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Published
2020-04-21
How to Cite
AbubakarJ., AbdullahiI. L., UsmanS., DanjumaN., & AgaieB. G. (2020). LINEAR PROGRAMMING AS DECISION MAKING TOOL FOR OPTIMAL PRODUCTION: A CASE STUDY OF YOGHURT PRODUCTION BY ATS MULTI-CONCEPT WORLDWIDE LTD IN KATSINA STATE, NIGERIA. FUDMA JOURNAL OF SCIENCES, 4(1), 750 - 755. Retrieved from https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/110