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Optimization of Truck Allocation: A Mathematical Model for Dealership Ordering and Constraints

A mathematical model optimizing truck allocation for dealerships.

Ethan Wilson
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OptimizationofTruckAllocation:AMathematicalModelforDealershipOrderingandConstraintsAcommercialtruckdealershipgetsanallocationfor100trucksfromthemanufacturer.ModelAcanbesoldat$4500abovefactoryinvoice,ModelBat$5200,ModelCat$4500,ModelDat$4000.Thedealershipsoldplentyoftruckslastyear,andisnowincludingthehalomodel,(ModelElite-tLimited)inthatallocation.Thisnewmodelcanbemarkedupat$16500aboveinvoice.«Atleast25%ofthetotalordermustbethefuel-efficientModelD*ModelCisagiganticTruckanditcan’tcountnomorethan5%ofthetotalorder«thedealerhastoorderatleastoneModelElite-tLimitedoThedealershipwillgetoneModelElite-tLimitedforevery19ModelDordered«SinceModelDandModelBsharemanycommonparts,themanufacturerproducesplentyofthem.So,theymustaccountfor2/3oftheorder.TheMathematicalModelIcameupwithis:Xi—ModelAX>—ModelBX3—ModelC—StudyXY

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