Since Powell has been requested to keep the security budget at a minimum, he needs to minimize the number of security agents who work in the airport in a day. In making up a daily roster of security agents. Powell has to specify the starting time for each agent, therefore he has to decide how many agents should start their 8-hour shift at the beginning of each 4-hour time block. What schedule optimizes the number of agents?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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5
8:00 to
3
24
12:00
12:00 to
4.
24
16:00
16:00 to
16
20:00
20:00 to
6.
12
24:00
Since Powell has been requested to keep the security budget at a minimum, he needs to
minimize the number of security agents who work in the airport in a day. In making up a
daily roster of security agents. Powell has to specify the starting time for each agent,
therefore he has to decide how many agents should start their 8-hour shift at the
beginning of each 4-hour time block. What schedule optimizes the number of agents?
Transcribed Image Text:8:00 to 3 24 12:00 12:00 to 4. 24 16:00 16:00 to 16 20:00 20:00 to 6. 12 24:00 Since Powell has been requested to keep the security budget at a minimum, he needs to minimize the number of security agents who work in the airport in a day. In making up a daily roster of security agents. Powell has to specify the starting time for each agent, therefore he has to decide how many agents should start their 8-hour shift at the beginning of each 4-hour time block. What schedule optimizes the number of agents?
John Powell, chief of airport security at a large Canadian airport, is responsible for
scheduling security agents around the clock. Powell has divided the day into six 4-hour
periods: midnight to 4:00 A.M., 4:00 A.M. to 8:00 A.M., etc. Security agents work 8-hour
shifts. Passenger traffic in the airport is determined by domestic and international flight
schedules, and Powell has decided that the minimum number of security agents that he
needs on duty during the different 4-hour shifts is as shown in the table:
Min. #of
Shift
Time
agents
required
Midnight
to 4:00
4:00 to
10
8:00
6.
Transcribed Image Text:John Powell, chief of airport security at a large Canadian airport, is responsible for scheduling security agents around the clock. Powell has divided the day into six 4-hour periods: midnight to 4:00 A.M., 4:00 A.M. to 8:00 A.M., etc. Security agents work 8-hour shifts. Passenger traffic in the airport is determined by domestic and international flight schedules, and Powell has decided that the minimum number of security agents that he needs on duty during the different 4-hour shifts is as shown in the table: Min. #of Shift Time agents required Midnight to 4:00 4:00 to 10 8:00 6.
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