Question: Gotham city National bank is open Monday-Friday from 9.00 am to 5.00pm. From past experience, the bank knows that it needs the number of tellers shown in the table 1. The bank hires two types of tellers. Full-time tellers work 9-5 five days a week, except for 1 hour off for lunch. (The bank determines when a full-time employee takes lunch hour, but each teller must go between noon and 1 pm or between 1 pm and 2 pm) .Full-time employees are paid (including fringe benefits) $8/hour (this includes payment for lunch hour). The bank may also hire part-time tellers. Each part-time teller must work exactly 3 consecutive hours each day. A part-time teller is paid $5/hour (and receives no fringe benefits). To maintain adequate quality of service, the bank has decided that at most five part-time tellers can be hired.

Formulate an LP (Linear programming) to meet the teller requirements at Minimum cost.

Time Period Tellers required