Continuing on with my East Mercy Hospital Equation: Please do not answer with 5,

Question

Continuing on with my East Mercy Hospital Equation: Please do not answer with 5, 1, 3. Those are the answers for Part 1.

I need to know how to solve for Part 2 - Given the state guidelines and the demand for beds, how many beds should be available in each of the wards? Round accordingly

He stated to use invNorm.

When I calculated, the first one I received an answer of 18 based on invNorm(.1627,24,6.1=18. If I add that to 30 it would be 48 beds. Not sure if I used the correct data.

However, if I add the 5 to the 30 then calculate 5% of 35, I calculate 37 beds.

Original data: East Mercy Medical Center is located in a rapidly growing area and is feeling capacity limitations. In particular, according to staff personnel, the obstetrics, adult medical surgical, and pediatric wards are “bursting at the seams.”

East Mercy is considering an extensive expansion program, including expansion of the obstetric, adult medical surgical, and pediatric wards. The Board of Trustees has allocated $400,000 for new beds in these three wards.

Megan Jacobs is recently hired as assistant administrator and is charged with determining how many beds current demand levels justify for each ward and how many beds to actually add, given the $400,000 cost constraint. Her staff computed statistics based on the current year’s patient census data in each of the three wards.

Note: it is possible for a ward to exceed its capacity, but according to state guidelines, this should not occur more than 5% of the time.

Given the state guidelines and the demand for beds, how many beds should be available in each of the wards? Round accordingly

Ward Mean No. Beds Used Per Day Standard Deviation Present Capacity Obstetrics 24 6.1 30 Surgery 13 4.3 20 Pediatrics 19 4.7 24

Explanation / Answer

Given:

a) Obstetrics:

Mean = 24, Standard deviation = 6.1

So, for the given 5%, the usage of beds can go up to the maximum of mean + Z0.95 SD.

= 24 + 1.645*6.1

= 24 + 10.0345

= 34.0345

~ 34 beds.

Hence, 4 extra beds is needed.

b) Surgery:

Mean = 24, Standard deviation = 6.1

So, for the given 5%, the usage of beds can go up to the maximum of mean + Z0.95 SD.

= 13 + 1.645*4.3

= 13 + 7.0735

= 20.0735

~ 20 beds.

Present capacity is 20. Hence, there is no additional beds needed.

c) Pediatrics:

Mean = 19, Standard deviation = 4.7

So, for the given 5%, the usage of beds can go up to the maximum of mean + Z0.95 SD.

= 19 + 1.645*4.7

= 19 + 7.7315

= 26.7315

~ 27 beds

The present capacity is 24. Hence, an additional bed of 3 is needed.

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