You are an urban planner responsible for setting up WiFi hotspot towers in a city. The city is divided into different regions, each with varying population densities. Each WiFi tower has the capacity to cover specific regions. You would like to find which towers to setup. You would like to find a good trade-off between area of coverage, higher coverage for denser areas, and cost, as investigated through the questions below. Regions in the city and their populations: A: 10,000 B: 25,000 C: 5,000 D: 20,000 E: 15,000 F: 10,000 G: 7,500 H: 7,500 I: 8,500 J: 6,500 Potential tower locations and their coverage areas: 1. Tower 1: Covers regions A,B,C 2. Tower 2: Covers regions B,D 3. Tower 3: Covers regions C,D,E 4. Tower 4: Covers regions E,F 5. Tower 5: Covers regions F,G 6. Tower 6: Covers regions G,H,I 7. Tower 7: Covers regions H,I,J Questions: a) Which towers would you set up to provide coverage for the entire city using the fewest towers? b) Considering that Towers 1 and 3 are near industrial areas and might face frequent maintenance issues, how does this information impact your tower selection? Can we reduce or totally eliminate the total number