Please Help


I have a problem at work. I don't know why I got it but there you go.

I work in a hospital and we are changing how we provide care.

This is the question:

A dept. admits on average 80 pts. per day. Of these 30% are discharged in 8 hours, and a further 20% are discharged within 12 hours. Of the remaining 50%, 75% go home within 1 - 7 days and 25% go home anytime after 7 days.

Will 254 beds be sufficient for the dept and if not what average length of stay needs to be achieved this. Also what if an extra 80 beds were added?

God knows where to start! Is there a tool or equation for working this out?