{"title":"OPTIMAL ALLOCATION OF BISCUIT INGREDIENT IN THE PRODUCTION PROCESS - AN INVARIANT PROPERTY BASED ALGORITHM APPROACH","authors":"E. S. Udofia, I. Etukudo","doi":"10.7176/mtm/9-4-06","DOIUrl":null,"url":null,"abstract":"For the achievement of optimal ingredient allocation and mixing, this work proposes a mathematical model of efficient allocation of these ingredients. The problem of this allocation in the production of biscuit is modeled as a linear programming problem and analyzed using an invariant property based algorithm approach. An Optdesolver, a computer program was used to obtain the optimal solution to this problem. This solution revealed that in order to have a maximum profit of N3,404,010.27, the allocations to shortcake, petit, marie and gem should respectively be N270.50, N267.50, N268.20 and N268.80. Keywords: Biscuit, Optimal Allocation, Production Process, Invariant, Approach. DOI : 10.7176/MTM/9-4-06 Publication date : April 30 th 2019.","PeriodicalId":394772,"journal":{"name":"Mathematical Theory and Modeling","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Theory and Modeling","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7176/mtm/9-4-06","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
For the achievement of optimal ingredient allocation and mixing, this work proposes a mathematical model of efficient allocation of these ingredients. The problem of this allocation in the production of biscuit is modeled as a linear programming problem and analyzed using an invariant property based algorithm approach. An Optdesolver, a computer program was used to obtain the optimal solution to this problem. This solution revealed that in order to have a maximum profit of N3,404,010.27, the allocations to shortcake, petit, marie and gem should respectively be N270.50, N267.50, N268.20 and N268.80. Keywords: Biscuit, Optimal Allocation, Production Process, Invariant, Approach. DOI : 10.7176/MTM/9-4-06 Publication date : April 30 th 2019.