SOME APPLICATIONS OF DIFFERENTIAL CALCULUS
Abstract
ABSTRACT
ThisstudyexaminestheapplicationoflinearprogrammingtechniquesinprofitoptimizationwithparticularreferencetoBajapthaFertilizerCompanyinPlateauState,Nigeria.Themajorobjectiveofthestudyistodemonstratehowlinearprogrammingcanbeusedasamathematicaltoolforefficientallocationoflimitedresourcesinordertomaximizeprofitinamanufacturingorganization.Thestudyidentifiestheproblemsassociatedwithtraditionaldecision-makingmethodssuchastrial-and-errorapproacheswhichoftenleadtoinefficientresourceutilizationandreducedprofitability.
Dataforthestudywereobtainedfromproductionandsalesrecordsofthecompanyaswellasthroughpersonalinterviewswithmanagementstaff.Thestudyfocusedontheproductionofthreemajorfertilizerproducts:Urea,NPK,andKampa.Alinearprogrammingmodelwasformulatedwiththeobjectiveofmaximizingprofitsubjecttoconstraintssuchasrawmaterials,productiontime,andotheroperationallimitations.TheSimplexmethodwasemployedtosolvetheformulatedmodelanddeterminetheoptimalproductmix.
Findingsfromtheanalysisindicatethattheapplicationoflinearprogrammingprovidesamoreefficientandprofitableallocationofresourcescomparedtotraditionaldecision-makingtechniques.Thestudyconcludesthatorganizationscansignificantlyimprovetheirprofitabilityandoperationalefficiencythroughtheadoptionofmathematicaloptimizationtechniques.Itisthereforerecommendedthatmanufacturingfirmsincorporatelinearprogrammingmodelsintotheirstrategicdecision-makingprocessestoenhanceproductivityandachieveoptimalprofitlevels.
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