The Kelowna Police Department must decide how to allocate 500 police officers be
ID: 1254907 • Letter: T
Question
The Kelowna Police Department must decide how to allocate 500 police officers between West Kelowna and Central Kelowna. The following table provides the estimates of total arrests corresponding to different numbers of police officers allocated in each region. If police can be deployed only in groups of 100 officers, how should the police department allocated its officers between the two regions? Explain your answer.
Number of police officers
West Kelowna Total Arrests
Central Kelowna Total Arrest
0
0
0
100
40
45
200
80
80
300
120
105
400
160
120
500
200
125
Number of police officers
West Kelowna Total Arrests
Central Kelowna Total Arrest
0
0
0
100
40
45
200
80
80
300
120
105
400
160
120
500
200
125
Explanation / Answer
In this case, the goal is to maximize arrests in this county. To do this we want to find the highest outcome. To do this we look at the final outcomes allocating our resources to different towns. To do this, look at when 100 go to one town 400 go to the other. The 200 to one town 300 to the other and so on. The best out come that leads to the hightst arrest is when 200 go to west town and 300 go to central. This gives us a total arrest of 205. Hope this helps
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