Question

Cost of Goods Sold $18,800
Beginning Merchandise Inventory 520
Ending Merchandise Inventory 470

Select the labels and enter the amounts to compute the inventory turnover. ​(Enter the amount for average inventory to one decimal​ place, X.X. Round your answer to two decimal​ places, X.XX.)

Answers

Answer
Select the labels and enter the amounts to compute the​ days' sales in inventory for the year. ​(Round your answer to two decimal​ places, X.XX.)
Answered by GPT-4o mini
To compute the inventory turnover, you first need to calculate the average inventory, and then use the formula for inventory turnover.

1. **Calculate Average Inventory**:
\[
\text{Average Inventory} = \frac{\text{Beginning Merchandise Inventory} + \text{Ending Merchandise Inventory}}{2}
\]
\[
\text{Average Inventory} = \frac{520 + 470}{2} = \frac{990}{2} = 495.0
\]

2. **Inventory Turnover Formula**:
\[
\text{Inventory Turnover} = \frac{\text{Cost of Goods Sold}}{\text{Average Inventory}}
\]
\[
\text{Inventory Turnover} = \frac{18,800}{495.0} \approx 37.88
\]

### Summary of the calculations:
- **Average Inventory**: $495.0
- **Inventory Turnover**: $37.88

You can enter the following amounts:

- Average Inventory: 495.0
- Cost of Goods Sold: 18,800
- Inventory Turnover: 37.88
Answered by GPT-4o mini
To compute the days' sales in inventory, you first need to calculate the inventory turnover and then use that to find the days' sales in inventory with the following formula:

### Steps to Calculate Days' Sales in Inventory

1. **Calculate Inventory Turnover** (as we previously calculated):
\[
\text{Inventory Turnover} = \frac{\text{Cost of Goods Sold}}{\text{Average Inventory}}
\]
Given:
- Cost of Goods Sold (COGS) = $18,800
- Average Inventory = $495.0 (calculated previously)

\[
\text{Inventory Turnover} = \frac{18,800}{495.0} \approx 37.88
\]

2. **Calculate Days' Sales in Inventory**:
\[
\text{Days' Sales in Inventory} = \frac{365}{\text{Inventory Turnover}}
\]
\[
\text{Days' Sales in Inventory} = \frac{365}{37.88} \approx 9.63
\]

### Summary of the calculations:
- **Average Inventory**: 495.0
- **Inventory Turnover**: 37.88
- **Days' Sales in Inventory**: 9.63

You can enter the following amounts:

- Inventory Turnover: 37.88
- Days' Sales in Inventory: 9.63

Therefore, the final answer for Days' Sales in Inventory is **9.63**.

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