G- Bank is a busy metropolitan bank open to customers from 9:00 am to 4:00 pm each day. It employs both full-time and part-time tellers. Full-timers work 8 hours/day, from 8:00 am to 5:00 pm, with a 1-hour lunch period beginning at either 11:00 am or 12:00 noon. Part-timers work 4 hours/day with no lunch break. Part-timers report for work at the beginning of the hour for the period they’re hired. Full-time tellers earn $100 for an 8-hour workday, including both salary ($60) and benefits ($40). Part-timers earn only $25 in salary for a 4-hour workday, with no benefits. The bank’s busiest times are around noon and during the last business hour of the afternoon. As the table below shows, the need for tellers varies during the day. Because the work of preparing for and reconciling the day’s activities at the beginning and end of each day cannot be done by part-timers, the bank requires that at least six of the tellers be full-timers. Also, at least four full timers must be on-duty during the bank’s busiest time (12:00 noon to 1:00 pm). Time Period Beginning and Ending Hours Minimum Number of Tellers Required 1 9:00 am – 10:00 am 8 2 10:00 am – 11:00 am 6 3 11:00 am – 12:00 m 14 4 12:00 m – 1:00 pm 15 5 1:00 pm – 2:00 pm 10 6 2:00 pm – 3:00 pm 5 7 3:00 pm – 4:00 pm 12. 

a) How many full-time and part-time tellers should the bank schedule each day? 

b) When should the part-timers report for work? When should the full-time tellers begin their lunch breaks? 

c) How much is the bank’s daily pay for tellers? 

d) How do your responses change if, in addition to minimizing the workforce, the bank also wants to minimize the maximum overstaffing during any period?