Cullumber Company uses a periodic inventory system and reports the following for the month of June. Date June 1 (a1) 12 23 30 Explanation Units Unit Cost Inventory Purchase Purchase Inventory 130 370 200 230 $5 Weighted-average unit cost $ 6 7 Total Cost $650 2,220 1,400 Calculate weighted-average unit cost. (Round answer to 3 decimal places, e.g. 5.125.)
Cullumber Company uses a periodic inventory system and reports the following for the month of June. Date June 1 (a1) 12 23 30 Explanation Units Unit Cost Inventory Purchase Purchase Inventory 130 370 200 230 $5 Weighted-average unit cost $ 6 7 Total Cost $650 2,220 1,400 Calculate weighted-average unit cost. (Round answer to 3 decimal places, e.g. 5.125.)
Intermediate Accounting: Reporting And Analysis
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Chapter7: Inventories: Cost Measurement And Flow Assumptions
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![### Cullumber Company Inventory Report for June
Cullumber Company uses a periodic inventory system and reports the following for the month of June.
| Date | Explanation | Units | Unit Cost | Total Cost |
|------------|-------------|-------|-----------|------------|
| June 1 | Inventory | 130 | $5 | $650 |
| June 12 | Purchase | 370 | $6 | $2,220 |
| June 23 | Purchase | 200 | $7 | $1,400 |
| June 30 | Inventory | 230 | | |
### Calculating Weighted-Average Unit Cost
To find the weighted-average unit cost, use the following formula:
\[ \text{Weighted-average unit cost} = \frac{\sum (\text{Units} \times \text{Unit Cost})}{\sum \text{Units}} \]
Using the given data:
1. Calculate the total cost for all units.
- Initial Inventory: \(130 \times 5 = 650\)
- First Purchase: \(370 \times 6 = 2220\)
- Second Purchase: \(200 \times 7 = 1400\)
2. Add the totals:
- Total Units = \(130 + 370 + 200 = 700\)
- Total Cost = \(650 + 2220 + 1400 = 4270\)
3. Apply the formula:
- Weighted-average unit cost = \(\frac{4270}{700} = 6.1\)
\[ \boxed{6.1} \]
### Example Calculation:
\[
\frac{\sum (\text{Units} \times \text{Unit Cost})}{\sum \text{Units}} = \frac{650 + 2220 + 1400}{130 + 370 + 200} = \frac{4270}{700} = 6.1
\]
Please round the final answer to three decimal places as per the given instruction, if necessary.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d1f03dc-16fb-4834-9136-6d6472c9ed62%2Fa5fdea17-8256-4d72-bfac-0a66bccd3072%2Fhexa3x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Cullumber Company Inventory Report for June
Cullumber Company uses a periodic inventory system and reports the following for the month of June.
| Date | Explanation | Units | Unit Cost | Total Cost |
|------------|-------------|-------|-----------|------------|
| June 1 | Inventory | 130 | $5 | $650 |
| June 12 | Purchase | 370 | $6 | $2,220 |
| June 23 | Purchase | 200 | $7 | $1,400 |
| June 30 | Inventory | 230 | | |
### Calculating Weighted-Average Unit Cost
To find the weighted-average unit cost, use the following formula:
\[ \text{Weighted-average unit cost} = \frac{\sum (\text{Units} \times \text{Unit Cost})}{\sum \text{Units}} \]
Using the given data:
1. Calculate the total cost for all units.
- Initial Inventory: \(130 \times 5 = 650\)
- First Purchase: \(370 \times 6 = 2220\)
- Second Purchase: \(200 \times 7 = 1400\)
2. Add the totals:
- Total Units = \(130 + 370 + 200 = 700\)
- Total Cost = \(650 + 2220 + 1400 = 4270\)
3. Apply the formula:
- Weighted-average unit cost = \(\frac{4270}{700} = 6.1\)
\[ \boxed{6.1} \]
### Example Calculation:
\[
\frac{\sum (\text{Units} \times \text{Unit Cost})}{\sum \text{Units}} = \frac{650 + 2220 + 1400}{130 + 370 + 200} = \frac{4270}{700} = 6.1
\]
Please round the final answer to three decimal places as per the given instruction, if necessary.
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