solution

Shouldice Hospital in Canada is widely known for one
thing—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 36-bed hospital has averaged 2,680 operations
annually. Last year, it had a record year and performed nearly
3,180 operations.
A hernia repair operation at Shouldice Hospital is performed by one
of the 12 full-time surgeons assisted by one of seven part-time
assistant surgeons. The first operations begin at 7:30 AM each day,
Monday through Friday. Surgeons generally take about one hour to
prepare for and perform each hernia operation, and they operate on
an average of at most four patients per day. This four patient per
day limit on the average number of operations performed per surgeon
has been found to be the best operating level for the hospital as
it take into account time the surgeons need for patient exams and
consultations, updating medical charts, writing reports, traveling
to professional conferences, vacations, and other times when they
are performing other duties or are not available to perform
surgeries. A given surgeon may perform more than four surgeries on
a given day, but the average cannot exceed four without having
adverse effects on overall hospital operations. The surgeons’ day
ends at 4 p.m. Although hernia repair operations are performed only
five days a week, the remainder of the hospital is in operation
continuously to attend to recovering patients.
The below table shows the number of operations with 36 Beds (12
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. Patients check-in to the
hospital the day before their operation is scheduled and stay for
three days.

BEDS REQUIRED
CHECK-IN DAY MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDAY
Monday 12 12 12
Tuesday 12 12 12
Wednesday 12 12 12
Thursday 12 12 12
Friday
Saturday
Sunday 12 12 12
Total 24 36 36 36 24 12 12

For example, the first row of the table shows that 12 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 36 patients staying in the hospital that
day.
The medical facilities at Shouldice consist of seven 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. Although financial data are sketchy, an estimate from a
construction company indicates that adding bed capacity would cost
about $100,230 per bed. In addition, the rate charged for the
hernia surgery varies between about $800 and $2,200 (U.S. dollars),
with an average rate of $1,300 per operation. The surgeons are paid
a flat $500 per operation.
How many weeks would it take the hospital to payback its
investments? (Round your answer to 1 decimal
place.)

 
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