2012 HiMCM B题特等奖学生论文下载3455

2012 HiMCM B题特等奖学生论文下载3413

 

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论文摘要如下：

High ?School ?Mathema/cs ?Compe//on ?in ?Modelling
Team ?3455
Problem ?B ?--‐ ?How ?Much ?Gas ?Should ?I ?Buy ?This ?Week?
Problem

The ?problem ?here ?is ?(just ?as ?the ?problem ?states) ?to ?determine ?how ?much ?gas ?to ?buy ?on ?any ?given ? week. ?Essen=ally, ?we ?develop ?a ?model ?to ?predict ?gasoline ?prices ?based ?on ?fundamental ?variables ? and ?a ?recursive ?formula.
Our ?Thoughts

We ?are ?given ?two ?cases, ?one ?where ?the ?consumer ?drives ?100 ?miles ?per ?week ?and ?one ?where ?the ? consumer ?drives ?200 ?miles ?per ?week. ?If ?we ?were ?to ?have ?the ?op=on ?of ?adding ?as ?much ?gas ?we ? would ?like, ?then ?there ?would ?be ?a ?large ?number ?of ?choices ?and ?complicated ?the ?model ?to ?reduce ? accuracy. ?Instead, ?we ?deemed ?accuracy ?to ?be ?of ?more ?importance ?and ?limited ?the ?choices ?of ?the ? consumer ?to ?binary ?form ?every ?week.
We ?divided ?our ?solu=on ?into ?5 ?parts:

Part ?I) ?Establishing ?Preliminaries

Our ?Assump=ons, ?De?ni=ons, ?Variables, ?and ?General ?Analysis; ?these ?are ?constantly ?referred ?in ?the ? model

Part ?II) ?The ?General ?Pricing ?Model

Here ?we ?determine ?quan=ta=ve ?factors ?as ?well ?as ?the ?laws ?of ?supply ?and ?demand ?to ?create ? a ?model ?that ?could ?predict ?future ?gas ?prices. ?We ?create ?theore=cal ?models ?and ?then ??nd ?the ? e?ects ?of ?the ?actual ?data ?to ?create ?an ?accurate ?pricing ?model.

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