The table below shows the room occupancy plan for the existing system. Each row in the table follows the patients who checked in on a given day. The columns indicate the number of patients in the hospital on a given night.

BEDS REQUIRED

CHECK$-$IN DAY MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDAY

Monday $303030$

Tuesday $303030$

Wednesday $303030$

Thursday $303030$

Friday

Saturday

Sunday $303030$

Total $60909090603030$

For example, the first row of the table shows that $30$ people checked in on Monday and were in the hospital for Monday, Tuesday, and Wednesday nights before being discharged on Thursday. By summing the column of the table for Wednesday, we see that there are $90$ patients staying in the hospital that night.

The medical facilities at Shouldice consist of five operating rooms, a patient recovery room, a laboratory, and six examination rooms.

Now look at the effect of increasing the number of beds by $50$ percent.

a$.$ How many operations could the hospital perform per day before running out of bed capacity? $($Assume operations are performed five days per week, with the same number performed on each day.$)$

b$.$ How well would the new resources be utilized relative to the current operation? $($Round your answers to $1$ decimal place.$)$

c$-1.$ In order to fill the beds as calculated in part a$,$ how many hernia repair operations would need to be performed in each operating room each day? $($Since it makes no sense to perform just a part of an operation, round your answer up to the next whole number if necessary.$)$

c$-2.$ Based on the current scheduling practices, does the hospital have enough operating room capacity for the number of operations required to fill the available beds as calculated in part a$?($Assume that the time to clean and set up an operating room between operations is insignificant compared to the time required for an operation.$)$

multiple choice $1$

Yes

No

c$-3.$ In order to fill the beds as calculated in part a$,$ how many hernia repair operations would each surgeon need to be available to perform each day on average? $($Since it makes no sense for a surgeon to perform just a part of an operation, round your answer up to the next whole number if necessary.$)$

c$-4.$ Based on the current scheduling practices, does the hospital have enough full$-$time surgeons to perform the operations required to fill the available beds as calculated in part a$?$

multiple choice $2$

Yes

No

c$-5.$ Based on the current scheduling practices, with the $50\%$ addition to bed capacity what is the maximum number of hernia repair operations that the hospital could perform each week without exceeding its capacity limits$?($Hint: Consider the capacities of the beds, operating rooms and surgeons.$)$

c$-6.$ Based on the current scheduling practices, does the hospital have enough overall capacity of surgeons and operating rooms to perform the operations required to fill the available beds as calculated in part a$?$

multiple choice $3$

Yes

No