National Bank of Turkey is open Monday-Friday from 9 am to 5 pm. 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 1 pm or between 1 pm and 2 pm. 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 prid 5 dollars per hour. Formulate a linear program to meet the teller requirements at minimum cost.

(30 points) National Bank of Turkey is open Monday-Friday from 9 am to \\( 5 \\mathrm{pm} \\). 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 \\( 1 \\mathrm{pm} \\) or between \\( 1 \\mathrm{pm} \\) and \\( 2 \\mathrm{pm} \\). 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