Textbook Problem

Gotham City National Bank is open Monday through Friday from 9 a.m. to 5 p.m. From past experience, the bank knows that it needs the numbers of tellers listed in the file P04_104.xlsx. Gotham City Bank hires two types of tellers. Full-time tellers work 9 a.m. to 5 p.m. five days per week, with one hour off each day for lunch. The bank determines when a full-time employee takes his or her lunch hour, but each teller must go between 12 p.m. and 1 p.m. or between 1 p.m. and 2 p.m. Full-time employees are paid (including fringe benefits) $15 per hour, which includes payment for lunch hour. The bank can also hire part- time tellers. Each part-time teller must work exactly four consecutive hours each day. A part-time teller is paid $9 per hour and receives no fringe benefits. To maintain adequate quality of service, the bank has decided that, at most, six part-time tellers can be hired. Determine how to meet the bank’s teller requirements at minimum cost.