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Math Modeling: Protein Bars Ranking Project

By Helynna Lin and Tommy MacNeil, VI Form

Math Modeling: Protein Bars Ranking Project

Click HERE to read Tommy and Helynna’s math modeling writeup report and analysis of which protein bars are the best. They considered nutrition facts and developed a formula that “scored” each bar on its ability to help someone effectively gain muscle mass.

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Math Modeling: Using Math for Flight Path Safety

By Kate Sotir, Cooper Sarafin, Anderson Fan, Shep Green, VI Form and Mo Liu, V Form

Math Modeling: Using Math for Flight Path Safety

Part 1:

The problem at hand is to create a model, a rating system, that would inform potential flyers of the safety of a particular flight. Our solution includes a mathematical equation that gives us a number between 1 and 100, depending on the inputs. Although the values themselves indicate the safety level of flights, we do not want to our audience to read into the numbers: a flight with a safety index of 63 should not be considered a more dangerous flight than a flight with a safety index of 67. Therefore, to make our model directly presentable to our audience, we classified the possible outcomes into ratings. A safety index ranges from 1 to 20 would have a rating of ★, from 20 to 40 would have ★★, 40 to 60 would be ★★★, 60 to  80 ★★★★, and finally, 80 to 100 would have the highest rating of ★★★★★, and flights that fall under this rating would be the safest choice based on our model. (more…)

Best Cities to Work and Live

By Nathan Cunningham, Ryan Ferland, and Freddy Masri, VI Form

Best Cities to Work and Live

Summary

We were tasked with creating a ranking function on a subject of our choice. We decided that our equation would rank US cities and would output an index indicating the best cities to work and live in. Our ranking is only intended for cities within the United States and does not include surrounding suburbs. The equation takes into account annual salary, annual cost of living, unemployment rate, and poverty rate giving an index anywhere from 0 up to several hundred. The higher the index, the better the city. (more…)

Math Modeling: Improved System for Ranking Colleges

By Steven Li & Gabriel Xu, V Form and Finn Reams & Thee Ngamsangrat, VI Form 

Math Modeling: Improved System for Ranking Colleges

Summary

Our task was to rank undergraduate colleges based on major elements that were most important to us. To solve the problem at hand, we first came up with six general elements of a college that held significance and found specific variables that would quantify each element. After putting all the variables into a ranking function, we adjusted the weights put on each category in correspondence with the importance we believed they contributed. We applied our model to both normal and extreme cases for testing, and we drew a 3D graph that showed the relationship between the final result with two of the variables as well. (more…)