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### 4. Occupancy Rate Calculation
The **occupancy rate** formula is given by:
\[
\text{Occupancy Rate} = \frac{\text{Inpatient Service Days}}{\text{Total Bed Days Available}}
\]
Where the **total bed days available** for the quarter (October–December) is calculated as:
\[
\text{Total Bed Days Available} = \text{Number of beds} \times \text{Number of days in the period}
\]
For a 400-bed hospital and a 3-month quarter (October to December), there are \( 92 \) days in a non-leap year quarter. So:
\[
\text{Total Bed Days Available} = 400 \times 92 = 36,800 \text{ bed days}
\]
Now, we can calculate the occupancy rate for each category.

#### a. Total Occupancy Rate
\[
\text{Total Inpatient Service Days} = 5,849 + 9,427 + 13,604 + 2,598 = 31,478
\]
\[
\text{Total Occupancy Rate} = \frac{31,478}{36,800} = 0.8554 \times 100 = 85.5\%
\]

#### b. Medicare Occupancy Rate
\[
\text{Medicare Occupancy Rate} = \frac{9,427}{36,800} = 0.2562 \times 100 = 25.6\%
\]

#### c. Managed Care Occupancy Rate
\[
\text{Managed Care Occupancy Rate} = \frac{5,849}{36,800} = 0.1590 \times 100 = 15.9\%
\]

### 5. Bed Turnover Rate Calculation
The **bed turnover rate** formula is:
\[
\text{Bed Turnover Rate} = \frac{\text{Number of Discharges}}{\text{Number of Beds}}
\]
Given that there are 400 beds:

#### a. Total Bed Turnover Rate
\[
\text{Total Number of Discharges} = 598 + 1,450 + 2,011 + 480 = 4,539
\]
\[
\text{Total Bed Turnover Rate} = \frac{4,539}{400} = 11.3
\]

#### b. Medicare Bed Turnover Rate
\[
\text{Medicare Bed Turnover Rate} = \frac{1,450}{400} = 3.6
\]

#### c. Managed Care Bed Turnover Rate
\[
\text{Managed Care Bed Turnover Rate} = \frac{598}{400} = 1.5
\]

### 6. Average Daily Inpatient Census
The **average daily inpatient census** is calculated by:
\[
\text{Average Daily Inpatient Census} = \frac{\text{Inpatient Service Days}}{\text{Number of Days in the Period}}
\]
For each category:

#### a. Total
\[
\text{Total Average Daily Census} = \frac{31,478}{92} = 342.2
\]

#### b. Medicare
\[
\text{Medicare Average Daily Census} = \frac{9,427}{92} = 102.5
\]

#### c. Managed Care
\[
\text{Managed Care Average Daily Census} = \frac{5,849}{92} = 63.6
\]

Would you like to dive deeper into any of these calculations?

Here are five relative questions:
1. How is the bed turnover rate useful in hospital management?
2. Why is the occupancy rate significant in assessing hospital efficiency?
3. What factors might influence the average daily inpatient census?
4. How could a hospital increase its bed turnover rate without increasing the number of beds?
5. What assumptions are made in calculating the bed turnover rate?

**Tip:** Always round the results consistently to align with the precision required in hospital reports or calculations.

Calculate the occupancy rate, bed turnover rate, and average daily inpatient census for different insurance categories in a 400-bed hospital for the fourth quarter of a non-leap year.

Learn how to calculate occupancy rates, bed turnover rates, and average daily inpatient census for a 400-bed hospital. This problem involves using basic division and percentage concepts to analyze hospital efficiency across different insurance categories for a non-leap year quarter.

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