Service requests at City Trust Bank (CTB) exhibit non-uniform distribution throughout the day. When plotted against...

  
 

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Service requests at City Trust Bank (CTB) exhibit non-uniform distribution throughout the day. When plotted against the time of day, the staffing requirements to accommodate customer re- quests follow an irregular curve. Specifically, the table and figure below depict the staffing re- quirements during different hours of the day at CTB. Time Period 8-9 AM No. of Staff Required 12 9-10 AM 28 10-11 AM 32 11-Noon 30 Noon-1 PM 24 1-2 PM 25 No. of Staff Required 45 40 35 30 25 15 2-3 PM 37 10 3-4 PM 41 5 4-5 PM 35 0 8 AM -9 9-10 5-6 PM 14 10-11 11-Noon Noon-1 1 PM-2 Time Period 2-3 3-4 4-5 5-6 CTB aims to identify a cost-effective workforce schedule that fulfills the staffing require- ments specified above. Listed below are the critical matters affecting staff assignment: Full-time employees work for 8 hours per day, including a compensated lunch hour. They are divided into two shifts: A and B. Shift A employees start their shift at 8 AM and take their lunch break between noon and 1 PM. Conversely, Shift B em- ployees begin their shift at 9 AM and their lunch break is from 1 PM and 2 PM. Up to 50% of Shift B employees can be asked to work overtime for one hour imme- diately following their regular working hours. The regular and overtime hourly pay rates for each employee are HK$160 and HK$180, respectively. Questions 1. How should CTB achieve the minimum-cost schedule, and what is the cost corresponding to it? 2. CTB now plans to hire part-time workers alongside full-time employees, offering an hourly wage of HK$100. Working for 4 hours per day, each part-time employee can start their shift at any time from 11 AM to 2 PM (inclusive). Opting for part-time workers can often be more cost-effective, as they are not entitled to the same fringe benefits as full-time employees. However, to maintain service quality, the total number of part-time hours scheduled cannot exceed 40 hours per day. What is the potential cost saving by utilizing part-time workers in CTB's staffing strategy? Service requests at City Trust Bank (CTB) exhibit non-uniform distribution throughout the day. When plotted against the time of day, the staffing requirements to accommodate customer re- quests follow an irregular curve. Specifically, the table and figure below depict the staffing re- quirements during different hours of the day at CTB. Time Period 8-9 AM No. of Staff Required 12 9-10 AM 28 10-11 AM 32 11-Noon 30 Noon-1 PM 24 1-2 PM 25 No. of Staff Required 45 40 35 30 25 15 2-3 PM 37 10 3-4 PM 41 5 4-5 PM 35 0 8 AM -9 9-10 5-6 PM 14 10-11 11-Noon Noon-1 1 PM-2 Time Period 2-3 3-4 4-5 5-6 CTB aims to identify a cost-effective workforce schedule that fulfills the staffing require- ments specified above. Listed below are the critical matters affecting staff assignment: Full-time employees work for 8 hours per day, including a compensated lunch hour. They are divided into two shifts: A and B. Shift A employees start their shift at 8 AM and take their lunch break between noon and 1 PM. Conversely, Shift B em- ployees begin their shift at 9 AM and their lunch break is from 1 PM and 2 PM. Up to 50% of Shift B employees can be asked to work overtime for one hour imme- diately following their regular working hours. The regular and overtime hourly pay rates for each employee are HK$160 and HK$180, respectively. Questions 1. How should CTB achieve the minimum-cost schedule, and what is the cost corresponding to it? 2. CTB now plans to hire part-time workers alongside full-time employees, offering an hourly wage of HK$100. Working for 4 hours per day, each part-time employee can start their shift at any time from 11 AM to 2 PM (inclusive). Opting for part-time workers can often be more cost-effective, as they are not entitled to the same fringe benefits as full-time employees. However, to maintain service quality, the total number of part-time hours scheduled cannot exceed 40 hours per day. What is the potential cost saving by utilizing part-time workers in CTB's staffing strategy?