PLEASE SOLVE IT BY HAND DO NOT USE ANY SOFTWARE.

6. A new primary school is needed in a neighborhood of skdar. The location for the current residential areas and expected number of students from each residential area are shown in the table below. Residences x-Coordinates y-Coordinate Number of students 30 500 200 600 D 60 34 A 18 B 26 29 42 56 300 E 54 43 400 a. Determine the optimal location for the new primary school such that the total distance the students have to travel is minimized. b. Determine the total distance for the optimal location. c. After extensive research, the school board has narrowed down its choices to three possible sites. Which one out of the three possible locations whose coordinates are shown below 6. A new primary school is needed in a neighborhood of skdar. The location for the current residential areas and expected number of students from each residential area are shown in the table below. Residences x-Coordinates y-Coordinate Number of students 30 500 200 600 D 60 34 A 18 B 26 29 42 56 300 E 54 43 400 a. Determine the optimal location for the new primary school such that the total distance the students have to travel is minimized. b. Determine the total distance for the optimal location. c. After extensive research, the school board has narrowed down its choices to three possible sites. Which one out of the three possible locations whose coordinates are shown below