Consider a city of 10 square kilometers. A macro-cellular system design divides the city into square cells of 1 square kilometer, where each cell can accommodate 100 users. Find the total number of users that can be accommodated in the system. B) If the cell size is reduced to 100 square meters and everything in the system scales so that 100 users can be accommodated in these smaller cells, find the total number of users the system can accommodate.

1,000 users

10,000,000 users

Explanation:

Given the following :

Area of city = 10 square kilometers

Each cell = 1 square per kilometer

Number of users each cell can accommodate = 100

Total number of users that can be accommodated in the system :

(Total number of cells in the system * number of users per cell)

(10 sqkm / 1 sqkm) * 100

10 * 100 = 1,000 users

B) If cell size is reduced to 100 square meters

Converting 100 square meters to square km

100 sq meters = 0.0001 sq kilometers

Number of users each cell can accommodate = 100

Total number of users that can be accommodated in the new system :

(Total number of cells in the system * number of users per cell)

(10 sqkm / 0.0001 sqkm) * 100

100,000 * 100 = 10,000,000 users