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Understanding Linear Programming: Infeasibility, Unboundedness, Multiple Optimal Solutions, and Model Essentials

This assignment covers key concepts in linear programming, including infeasibility, unboundedness, and multiple optimal solutions.

Leo Campbell
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UnderstandingLinearProgramming:Infeasibility,Unboundedness,MultipleOptimalSolutions,andModelEssentialsDiscussion2Inthegraphicalmethod,howdoyouknowwhenaproblemisinfeasible,unbounded,orwhenithasmultipleoptimalsolutions?WhataretheessentialingredientsofanLPmodel?WhyisithelpfultounderstandthecharacteristicsofLPmodels?Inthegraphicalmethod,howdoyouknowwhenaproblemisinfeasible,unbounded,orwhenithasmultipleoptimalsolutions?Aproblemisinfeasiblewhenitallsolutionsviolateoneormultipleconstraintsasanditisunboundedwhenafeasiblesolutionareaisnotclosedcausingalimitlessvaluecyclefortheobjectivefunction(TaylorIll,2011,p54/55).Themultipleoptimalsolutionsbecomeinfeasiblewheneversolutionviolatesoneormultipleconstraintsleavingnofeasiblesolutionarea(TaylorIll,2011,p54).WhataretheessentialingredientsofanLPmodel?WhyisithelpfultounderstandthecharacteristicsofLPmodels?Thelinearprogrammingmodelconsistsofdecisionvariables,objectivefunctionandmodelconstraints(Taylor11,2011,p30).Youneedtounderstandthecharacteristicsofthemodelinordertoefficientlyapplyitasabusinesstool.Thisallowsyoutoenterthebestorcorrectdatainordertogetthebestreturnof|VvTTStudyXY

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