Question

A facility has 150 beds and during a 30 day period they have 4,200 occupied bed days. What is their average percentage of occupancy?

Answer 1

Average percentage of occupancy = 93%.

Explanation:

If a facility has 150 beds, then over a 30 day period they could have as many as 150 x 30 or 4,500 occupied beds. Since over the given 30 day period they only had 4,200 occupied beds, we can find the average percentage of occupancy by dividing the actual number by the expected number and multiplying by 100:

`(actual)/(expected) = (4200)/(4500)` x 100 = 93%

Answer 2

Answer: 93.33%

Explanation:

Given: A facility has 150 beds and during a 30 day period.

The expected number of bed days :
`150*30=4,500`

The actual number of bed days : 4,200

Now, the average percentage of occupancy is given by :-

`\frac{\text{Actual bed days}}{\text{Expected bed-days}}*100\\\\\Righatrrow\ (4200)/(4500)*100=93.3333333333\approx93.33\%`

Hence, their average percentage of occupancy = 93.33%