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Macy's Marketing Strategy

Decent Essays

The problem we are presented with is to optimize the amount of boxes of shoes to be transported from 2 warehouses to 10 different Macy’s stores such that the cost is minimized. The main consideration of this problem are the price differences associated with each combination of transports. This means that each combination of warehouse to mall has a different shipping cost. Additionally, there are three different shipping costs based on the quantity of boxes being shipped. Combining these factors results in 60 decision variables which makes it necessary to use linear programming in order to minimize the cost. The chosen decision variables are the amount of boxes of shoes per specific trip and quantity. To describe this in a single variable, …show more content…

Our decision variables consist of the amount of boxes of shoes per specific trip and are multiplied by their respective costs. We chose to denote these variables with one single variable, X, accompanied with subscripts that stand for the specific warehouses and malls, as well as the piecewise function values that denote different price points dependent on quantity of shoe-boxes delivered. Our decision variables follow the format of: XW2M4C stands for “X” number of boxes from warehouse 2 to Macy’s store #4 with price pertaining to quantity range C. For variables with an “A” in the subscript, the price factor is 1 (per table 2) . For variables with “B” and “C” in the subscript, the price factors in table 2 are taken into account according to the quantities found in table …show more content…

Each price factor is given in table 2 and are based on the quantity ranges of shoes being shipped (table 3). The demand constraint consists of the sum of possible combination of shipments to each store. This results in 10 different demand constraints since there are 10 different stores. The supply constraints consist of the sum of each possible combination of shipments to every mall from each warehouse, yielding 2 supply constraints. The bounds on the demand and supply constraints are given in table 1. The non negativity constraint ensures that the decision variables remain positive since there cannot be a negative quantity of

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