Mr. Fixit is a company that repairs manufacturing machines for firms that are located in a linear
region. The distribution of firms by mile is:
• Mile 0 - 2 firms
• Mile 20 - 8 firms
• Mile 40 - 1 firm
• Mile 60 - 1 firm
• Mile 160 - 13 firms Under the following assumptions, Fixit's objective is to maximize profit by minimizing the total travel
distance associated with serving its customers. • All inputs (tools and parts) are ubiquitous (available at all locations for the same price), so the cost
of transporting inputs is zero.
The price per unit of repair service is fixed, and Fixit visits each factory once per week.
Each repair trip to a factory requires a separate trip at a cost of $1 per roundtrip mile.
Find the cost minimizing location of Mr. Fixit's establishment.