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

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Optimization of Truck Allocation: A Mathematical Model for Dealership Ordering and Constraints A commercial truck dealership gets an allocation for 100 trucks from the manufacturer. Model A can be sold at $4500 above factory invoice, Model B at $5200, Model C at $4500, Model D at $4000. The dealership sold plenty of trucks last year, and is now including the halo model, (Model Elite-t Limited) in that allocation. This new model can be marked up at $16500 above invoice. «Atleast 25% of the total order must be the fuel-efficient Model D * Model C is a gigantic Truck and it can’t count no more than 5% of the total order «the dealer has to order at least one Model Elite-t Limited o The dealership will get one Model Elite-t Limited for every 19 Model D ordered « Since Model D and Model B share many common parts, the manufacturer produces plenty of them. So, they must account for 2/3 of the order. The Mathematical Model I came up with is: Xi — Model A X> — Model B X3— Model C — StudyXY
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