Question 1 (30 points) National Bank of Turkey is open Monday-Friday from 9 am to 5pm. From past experience, the number of required tellers for the bank are as Table 1 shows. The bank hires two types of tellers. Full-time tellers work 9:00 am to 5:00 pm five days a week, except for 1 hour off for lunch, either between noon and 1pm or between 1pm and 2pm. Full-time tellers are paid 8 dollars per hour this includes payment for lunch hour. The bank may also hire up to 5 part-time tellers. Each part-time teller must work exactly 3 consecutive hours each day. A part-time teller is paid 5 dollars per hour. Formulate a linear program to meet the teller requirements at minimum cost. Table 1: Number of tellers required for the bank