2016 HiMCM B题特等奖学生论文下载7057
2016 HiMCM B题特等奖学生论文下载7057
下载方式见文末
论文摘要如下：
19th Annual High School Mathematical Contest in Modeling (HiMCM)
Summary Sheet Team Control Number: 7057
Problem Chosen: B Summary
Our team was tasked to minimize the number of warehouses needed to offer one-day ground shipping throughout the contiguous United States for an expanding recreation company. We created a method to determine the location of the warehouses based on its ZIP code and the location’s proximity to a major roadway. Given the ranges of ZIP codes in each state, we found the most central ZIP codes in the given range and examined cities within that range whose proximity was close to major roadways. After implementing this method, we found that the company would need to build 28 new warehouses. However, three of those warehouses would exclusively cover uninhabited area, and therefore would be a waste of money and materials. This reasoning decreased the number of warehouses to 25 new warehouses, roughly the same as the amount of FedEx ground hubs [2].
After establishing the locations of the warehouses, we analyzed the tax rates and populations of each state. A metric, L
, was created for each state to rank the effect of tax liability on the total consumer base. By calculating the metric for every state, we found which states had the most people and the highest sales tax. To improve consumer sales, warehouses were moved to decrease tax liability for certain states that had high per capita and total tax liability. The metric was modified once we took into account clothing and the apparel tax for every state.
Our final solution places warehouses so that the company can offer one-day ground shipping to the entire inhabited continental United States of America. We determined the locations based on a method that combines physical connectivity with relative placement in the state. Taking into account the sales and apparel taxes of each state, we optimized the locations of our warehouses while decreasing total consumer tax liability.
国际竞赛真题资料-点击免费领取！
美高学分项目重磅来袭！立即了解
AMC8备考管家服务全新上线！
