Mathematical Modeling Aspects

Math has been a huge aspect in both of our lives. With this, we realized that our travels have turned into a large mathematical modeling problem. We have timing constraints, we are trying to maximize the land we see in a minimal amount of time, and on top of all that we are trying to stay in budget. Below is a list of how we use math in our travels:

• We are given a fixed amount of time to see all of our sights. This means we have to travel between (generally) 9am-9pm, and try to get as much done as possible. This includes coordinating when places open and close, and making sure to schedule flights accordingly.
• Even with the timing, we want to see as much as possible. This involves listing out all of our sight seeing ideas and placing them on a map. From the map we can then draw a route that maximizes all of our experiences, but minimizes the time we are out walking. Technically, each time we map out our travels we have created a small linear programming problem, and are trying to solve a network model.
• Finally we have a budget. This can actually be the most difficult part. We aim to keep each trip under $250. Factoring in flights, food, and other items that we might need, this gets to be very tricky. 

Hopefully when you read our blog, and see our travels, you will be able to see how math is actually used in many aspects of life! While this isn't a word problem of "if jet A leaves Tampa at 8am going 154 mph, and jet B leaves New York at 9am going 214 mph..." our problem is more practical and helps us better ourselves. Feel free to email us at americainaday@gmail.com with any questions on our mathematical modeling ideas. 

Blue skies,

L&K