$\backslash$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$,,,,,,,],[\backslash$table$[[$Saturday$],[$Sunday$]],30,30,,,,,30],[\backslash$table$[[$Sunday$],[$Total$]],\frac{60}{60},\frac{90}{90},90,90,60,30,30]]$

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. By summing the columns of the table for Wednesday, we see that there are $90$ 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. 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 $$100,000$ per bed. In addition, the rate charged for the hernia surgery varies between about $$900$ and $$2,000($U$.$S$.$ dollars$),$ with an average rate of $$1,300$ per operation. The surgeons are paid a flat $$600$ per operation.

How many weeks would it take the hospital to pay back its investors?

Note: Round your answer to $1$ decimal place.

Payback

weeks