(Answered) : QUESTION 5 Gambang township has built a new elementary school, increasing the town’s total to four schools Alor, Bitara, C

QUESTION 5

Gambang township has built a new elementary school, increasing the town’s total to four schools Alor,

Bitara, Cendana, and Desa. Each has a capacity of 400 students. The education department wants to

assign children to schools so that their travel time by bus is as short as possible. The education

department has partitioned the town into five zones conforming to population density north, south,

east, west, and central. The average bus travel time from each zone to each school is shown in Table 2.

Table 2: Student Population and Travel Time

Travel Time (min)

Travel Time (min.)

Travel Time (min)

Travel Time (min)

Zone

Alor

Bitara

Cendana

Desa

Student population

North

12

23

35

17

250

South

26

15

21

27

340

East

18

20

22

31

310

West

29

24

35

10

210

Central

15

10

23

16

290

a) Determine the number of