Besides technicians (see problem 9.1), the lab supervisor also needs to schedule part- time and full-time phlebotomists for Mondays. Some part-time phlebotomists work 2-hour shifts, whereas others work 4-hour shifts. Full-time phlebotomists work 8 hours. The supervisor has divided the day into 2-hour blocks and, based on historical interarrival and service times on Mondays, she has determined the minimum number of phlebotomists needed for each time slot. Below are all data pertaining to thisproblem. Please note that shift and time blocks do not coincide even though there are 12 of each. Shift Type Daily Salary 1. 6 a.m.-8 a.m. Part-time $30 2. 6 a.m.-10 a.m. Part-time $60 3. 6 a.m.-2 p.m. Full-time $144 4. 10 a.m.-2 p.m. Part-time $60 5. 10 a.m.-6 p.m. Full-time $144 6. 2 p.m.-6 p.m. Part-time $60 7. 2 p.m.-10 p.m. Full-time $144 8. 6 p.m.-10 p.m. Part-time $60 9. 10 p.m.-6 a.m. Full-time $144 10. 10 p.m.-12 a.m. Part-time $30 11. 12 a.m. 4 a.m. Part-time $60 12. 4 a.m.-6 a.m. Part-time $30 Time Block Number of Phlebotomists Needed 1. 6 a.m.-8 a.m. 8 2. 8 a.m.-10 a.m. 10 3. 10 a.m.-12 p.m. 22 4. 12 p.m.-2 p.m. 15 5. 2 p.m. 4 p.m. 12 6. 4 p.m.-6 p.m. 18 7. 6 p.m.-8 p.m. 12 8. 8 p.m.-10 p.m. 22 9. 10 p.m.-12 a.m. 15 10. 12 a.m.-2 a.m. 10 11. 2 a.m. 4 a.m. 8 12. 4 a.m.-6 a.m. 8 The lab supervisor wants at least 40% of the phlebotomists at the peak times of 10 a.m. to 12 p.m. and 8 p.m. to 10 p.m. to be full-time employees. Also, she wants at least two full-time phlebotomists at full-time shift changes: 6:00 a.m., 2:00 p.m., and 10 p.m. Formulate and solve an integer linear programming model to establish a schedule for phlebotomists that will meet all requirements while minimizing daily costs