For example, the first row of the table shows that $20$ people checked in on Monday and were in the hospital for Monday, Tuesday, and Wednesday. By summing the column of the table for Wednesday, we see that there are $60$ 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.

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.$)$