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The LP software packages provide sensitivity results about the optimality of a basis and not about the optimality of the values of the decision variables, and the shadow prices that are of interest to the manager. Society has developed the largest sensitivity region based on \u201coptimal solution,\u201d not that which \u201cpreserves the basis\u201d that allows for simultaneous dependent\/independent changes. The aim and results of this article are found further in the work.<\/p>","DOI":"10.4018\/jsds.2012070104","type":"journal-article","created":{"date-parts":[[2012,8,15]],"date-time":"2012-08-15T20:07:40Z","timestamp":1345061260000},"page":"40-60","source":"Crossref","is-referenced-by-count":2,"title":["Foundation of Linear Programming"],"prefix":"10.4018","volume":"3","author":[{"given":"Hossein","family":"Arsham","sequence":"first","affiliation":[{"name":"University of Baltimore, USA"}]}],"member":"2432","reference":[{"key":"jsds.2012070104-0","author":"D.Anderson","year":"2007","journal-title":"An introduction to management science: Quantitative approaches to decision making"},{"key":"jsds.2012070104-1","doi-asserted-by":"publisher","DOI":"10.1016\/0895-7177(90)90073-V"},{"issue":"3","key":"jsds.2012070104-2","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1080\/02522667.1996.10699297","article-title":"On the more-for-less paradoxical situations in linear programs: A 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