Metropolis health system $($mhs$)$ uses a basic workweek of $40$ hours throughout the system. Thus one full$-$time employee works $40$ hours per week. MHS also uses a standard $24-$hour scheduling system of three $8$ hour shifts. The admission manager needs to compute the staffing requirements to fill departmental positions. He has multiple admisssions officers within the system. The west admissions office typically has two admissions officers on duty during the day shift, one admissions officer on duty during the evening shift, and one admissions officer on duty during the night shift. Staffing is identical for all seven days of the week. Each staff member received $9$ paid holidays, $2$ paid sick days, and $5$ paid vacation days"