{"title":"主要原材料成本增加时利润最大化的经济方面","authors":"Devajit Mohajan, H. Mohajan","doi":"10.56397/fms.2023.06.05","DOIUrl":null,"url":null,"abstract":"In this study sensitivity analysis of various inputs is discussed, when per unit cost of principal raw materials is increased. The organization has its main target of achieving maximum profit through the adjustment of various inputs and outputs in future production. In this study Cobb-Douglas production function is considered as a profit function to investigate sensitivity analysis during profit maximization procedures. In this article the method of Lagrange multiplier is applied to represent higher dimensional unconstrained problem from the lower dimensional constrained problem. Moreover, the determinant of the 6×6 bordered Hessian matrix and 6×6 Jacobian are applied for the augmentation of the sensitivity analysis efficiently.","PeriodicalId":310548,"journal":{"name":"Frontiers in Management Science","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Economic Aspects of Profit Maximization if Cost of Principal Raw Material Increases\",\"authors\":\"Devajit Mohajan, H. Mohajan\",\"doi\":\"10.56397/fms.2023.06.05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study sensitivity analysis of various inputs is discussed, when per unit cost of principal raw materials is increased. The organization has its main target of achieving maximum profit through the adjustment of various inputs and outputs in future production. In this study Cobb-Douglas production function is considered as a profit function to investigate sensitivity analysis during profit maximization procedures. In this article the method of Lagrange multiplier is applied to represent higher dimensional unconstrained problem from the lower dimensional constrained problem. Moreover, the determinant of the 6×6 bordered Hessian matrix and 6×6 Jacobian are applied for the augmentation of the sensitivity analysis efficiently.\",\"PeriodicalId\":310548,\"journal\":{\"name\":\"Frontiers in Management Science\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Frontiers in Management Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56397/fms.2023.06.05\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Frontiers in Management Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56397/fms.2023.06.05","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Economic Aspects of Profit Maximization if Cost of Principal Raw Material Increases
In this study sensitivity analysis of various inputs is discussed, when per unit cost of principal raw materials is increased. The organization has its main target of achieving maximum profit through the adjustment of various inputs and outputs in future production. In this study Cobb-Douglas production function is considered as a profit function to investigate sensitivity analysis during profit maximization procedures. In this article the method of Lagrange multiplier is applied to represent higher dimensional unconstrained problem from the lower dimensional constrained problem. Moreover, the determinant of the 6×6 bordered Hessian matrix and 6×6 Jacobian are applied for the augmentation of the sensitivity analysis efficiently.