Answer
Using the Brute Force Method, we can see that the shortest route to run errands and return home is 15 miles.
Work Step by Step
If we start and end at home, there are 6 possible routes we can take. We can find the total weight of each route.
The route is Home, Bank, Post Office, Market, Home.
total weight = 3 + 4 + 4.5 + 3.5 = 15
The distance of this route is 15 miles.
The route is Home, Bank, Market, Post Office, Home.
total weight = 3 + 5 + 4.5 + 5.5 = 18
The distance of this route is 18 miles.
The route is Home, Market, Post Office, Bank, Home.
total weight = 3.5 + 4.5 + 4 + 3 = 15
The distance of this route is 15 miles.
The route is Home, Market, Bank, Post Office, Home.
total weight = 3.5 + 5 + 4 + 5.5 = 18
The distance of this route is 18 miles.
The route is Home, Post Office, Market, Bank, Home.
total weight = 5.5 + 4.5 + 5 + 3 = 18
The distance of this route is 18 miles.
The route is Home, Post Office, Bank, Market, Home.
total weight = 5.5 + 4 + 5 + 3.5 = 18
The distance of this route is 18 miles.
Using the Brute Force Method, we can see that the shortest route to run errands and return home is 15 miles.
