# How many operations could the hospital perform per day before running out of bed capacity?

#### How many operations could the hospital perform per day before running out of bed capacity?

Shouldice Hospital in Canada is widely known for one thingâ€ť??hernia repair! In fact, that is the only operation it performs, and it performs a great many of them. Over the past two decades this small 90-bed hospital has averaged 7,000 operations annually. Last year, it had a record year and performed nearly 7,500 operations.
The below table shows the number of operations with 90 Beds (30 patients per day). 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 day.

BEDS REQUIRED
CHECK-IN DAY MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDAY
Monday 30 30 30
Tuesday 30 30 30
Wednesday 30 30 30
Thursday 30 30 30
Friday
Saturday
Sunday 30 30 30
Total 60 90 90 90 60 30 30

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. By summing the columns of the table for Wednesday, we see that there are 90 patients staying in the hospital that day.
The medical facilities at Shouldice consist of five operating rooms, a patient recovery room, a laboratory, and six examination rooms. An operation at Shouldice Hospital is performed by one of the 12 full-time surgeons assisted by one of seven part-time assistant surgeons. Surgeons generally take about one hour to prepare for and perform each hernia operation.
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.)

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