The document discusses four options for placing a new stadium between the cities of Raleigh, Durham, and Chapel Hill. Option 1 places the stadium at the circumcenter of an equilateral triangle formed by the cities, while Option 2 places it between existing highways. The authors choose Option 2 because it is cheaper and more strategic. Option 3 places the stadium on Highway 504 between Raleigh and Durham based on their populations. Option 4 places it at the intersection of Highways 504 and 40 to avoid constructing new highways.

1. Jimmy Clemson
Blaire Watford
Questions
1.
For option one, we started my constructing the circumcenter to be able to find the
distance that is equal from each city. That point is labeled G on the figure.
For option two, we started by measuring the distance between the highways and a
point and then moved the point around and then approximated the closest distance
we could to each other. The cost for road reconstruction is stated below in the figure.
The one at the top of the figure is option one and the one below is option two.
2. We would choose option 2 because it will cost the least amount of money and also is
placed in a more strategic location. We believe that the residents of the surrounding
cities would not be happy about the location of option one because it’s far from every
city. Option 2 is the better option for the residents because it is only far from one city
rather than all three.

2. Jimmy Clemson
Blaire Watford
3. We decided to find the midpoint of the distance that is from Raleigh and Durham
because they have significantly more people than Chapel Hill. We found that when
you take the ratio of Raleigh’s population over Durham’s population you get 1.26. So
we then took the point 26% closer to Durham and that was right near highway 504.
We decided to place our stadium on highway 504 because it already exists.
A
H
C
I
J
K
D
4. Our forth option is going to be to place the stadium on the intersection of 504 and 40.
This way you would only have to resurface existing highways and not have to create
new highways. This is a better option than both option 1 and option 2 because it
seems to be in a better location and also looks to be cheaper because you do not have
to create new highways.