solution

Amidst a global health crisis, patients can be denoted into four separate categories.
On any given day in July, assume there are ten, ten, one, and two patients for clusters one, two, three, and four, respectively.
Each patient requires a total of six treatments, as displayed in Table One, from TI to TVI.
Table One displays processing times of each group’s treatment.
Each treatment is available eight hours a day.

Table I. Treatment times (in mins) per patient-group
Gr: TI TII TIII TIV TV TVI
1. 30 20 30 10 20 20
2. 20 10 10 20 30 20
3. 10 10 5 20 5 10
4. 5 20 10 5 5 5
1.) Which of the above is the bottleneck?
2.) What is the implied utilization and utilization of each treatment?
3.) How would the process capacity change if the available time of T5 is raised from eight hours to nine hours per day?