ABC Bank is open Monday–Friday from 9:00 to 18:00. From past experience, The minimum number of tellers required is given table below. The bank hires two types of tellers. Full-time tellers work 9:00– 18:00 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 12:00 and 13:00 or between 13:00 and 14:00) Full- time employees are paid (including fringe benefits) $8/hour (this includes payment for lunch hour). The bank may also hire part-time tellers. Each part time teller must work exactly 2 or 3 consecutive hours each day. A part-time teller who works 2 consecutive hours is paid 12$/day. A part-time teller who works 3 consecutive hours is paid 16$/day To maintain adequate quality of service, the bank has decided that at most six part-time tellers can be hired. Formulate an LP to meet the teller requirements at minimum cost. Do NOT solve.

Time Period 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 Number of tellers 5 3 8 4