For example, the first row of the table shows that $42$ 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 $126$ patients staying in the hospital that night.

The medical facilities at Shouldice consist of four 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.$)($Round your answer to the nearest whole number.$)$

Number of operations per day

b$.$ What would the utilization of the bed capacity become if the new beds were added and the hospital were to perform the number of operations calculated in part a$?($Round your answers to $1$ decimal place.$)$