Activity 6. 1
Apportionment
l. Two hundred new medicine board passer will be assigned in the different provincial hospitals of the
different regions. Data of the hospitals as follows. Apportion the doctors in the different hospital by
using Hamilton Method to justify the answer. Show solution.
D =
N
R
=
1126
200
= 5.63
Regional
Hospital
Bed
capacity Q =
n
D
Q Q
Corrected no.
of medicine
board passers
Region 1 75
75
5.63
13.32 13 13
Region 2 105
105
5.63
18.65 18 19
Region 3 250
250
5.63
44.40 44 44
NCR 400
400
5.63
71.05 71 71
Region 4 162
162
5.63
28.77 28 29
Region 5 134
134
5.63
23.80 23 24
1 126 200 197 200
2. A fire truck is to be added to a certain district. Which district should get the Fire truck? Justify
your answer using the apportionment principle or Huntington – hill apportionment method. Show
solution
Area No. of fire trucks Number of houses
District 1 22 (+1) 50, 443
District 2 18 (+1) 23, 208
Area C1 C2 A = C1 – C2 R =
A
C
District 1
50 443
23
= 2 193.17
23 208
19
= 1 221.47 2 193.17 – 1
221.47 = 971.7
971.7
2193.17
= 0.44
District 2
50 443
22
= 2 292.86
23 208
18
= 1 289.33 2 292.86 – 1
289.33 = 1 003.53
1003.53
1289.33
= 0.78
Therefore, a fire truck is to be added to District 1.
