1. Union City Al has decided to upgrade their tornado warning system. The city leaders have identified six potential locations for erecting a warning siren tower. They want to ensure that each of the seven schools in Union City is within three miles of a siren, yet they want to build as few warning siren towers as possible. Relevant information on the six potential locations of the warning siren towers and distance in miles to each of the seven schools is presented in the table below. Formulate the LP model for Union City to minimize towers built. (10 points)
Potential Locations
Schools A B C D E F
1. Washington 2 1 4 8 11 7
2. Adams 1 2 5 12 9 2
3. Jefferson 4 1 2 5 6 13
4. Madison 1 5 4 2 6 1
5. Jackson 6 8 2 4 1 7
6. Lincoln 7 4 1 2 6 1
7. Kennedy 9 12 4 1 2 8