$\backslash$table$[[$CHECK$-$IN DAY,BEDS REQUIRED$],[$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 nights before being discharged on Thursday. By summing the column of the table for Wednesday we see that there are $90$ patients staying in the hospital that night.

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.$)$