Questions

Exhibit $4\mathrm{.}7$ is a room$-$occupancy table 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 day. 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.

How well is the hospital currently utilizing its beds?

Develop a similar table to show the effects of adding operations on Saturday. $($Assume that $30$ operations would still be performed each day.$)$ How would this affect the utilization of the bed capacity? Is this capacity sufficient for the additional patients?

Now look at the effect of increasing the number of beds by $50$ percent. How many operations could the hospital perform per day before running out of bed capacity?