Table 10.5
The daily requirements for highway patrol officers at Park City over the week are:

Each officer works five days a week and must have two consecutive days off.
-Use the information in Table 10.5. What is the minimum number of officers required if preference is given to the pair S-SU in case of a tie in the selection of off days?
A) 9
B) 10
C) 11
D) 12

Question

Table 10.5
The daily requirements for highway patrol officers at Park City over the week are:
  
Each officer works five days a week and must have two consecutive days off.
-Use the information in Table 10.5. What is the minimum number of officers required if preference is given to the pair S-SU in case of a tie in the selection of off days?
A) 9 
B) 10 
C) 11 
D) 12

Quizplus · Accepted Answer

To calculate the minimum number of officers required, we need to see the number of officers required for each day. From Table 10.5, we can see that the maximum number of officers required on any day is 16, which is on Saturday. Each officer works for five days, so the total number of officers required for the week is 5 * 16 = 80. However, each officer must have two consecutive days off, and preference is given to the pair S-SU in case of a tie in the selection of off days. This means that we need to add one more officer to the total number required to accommodate for the pair S-SU. Therefore, the minimum number of officers required is 80/7, rounded up to the nearest integer, plus one, which is equal to 12. However, we need to subtract one from this total to account for the extra officer required for the S-SU pair, which gives us a final answer of 11.

Table 10.5 The Daily Requirements for Highway Patrol Officers at Park City