Swifty Company applies overhead on the basis of machine hours. Given the following data, what is the overhead applied and the under- or overapplication of overhead for the period? Estimated annual overhead cost Actual annual overhead cost Estimated machine hours Actual machine hours $1660000 $1555000 320000 100000 O $1660000 applied and $1036250 overapplied O $1555000 applied and neither under-nor overapplied $518750 applied and $1036250 underapplied O $518750 applied and $1036250 overapplied
Swifty Company applies overhead on the basis of machine hours. Given the following data, what is the overhead applied and the under- or overapplication of overhead for the period? Estimated annual overhead cost Actual annual overhead cost Estimated machine hours Actual machine hours $1660000 $1555000 320000 100000 O $1660000 applied and $1036250 overapplied O $1555000 applied and neither under-nor overapplied $518750 applied and $1036250 underapplied O $518750 applied and $1036250 overapplied
Chapter1: Financial Statements And Business Decisions
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![**Swifty Company Overhead Application Analysis**
Swifty Company applies overhead on the basis of machine hours. Given the following data, the task is to determine the overhead applied and the under- or overapplication of overhead for the period.
**Data Provided:**
1. **Estimated annual overhead cost:** $1,660,000
2. **Actual annual overhead cost:** $1,555,000
3. **Estimated machine hours:** 320,000
4. **Actual machine hours:** 100,000
**Question:**
Based on the above data, what is the overhead applied and the corresponding under- or overapplication of overhead for the period?
**Options:**
- $1,660,000 applied and $1,036,250 overapplied
- $1,555,000 applied and neither under- nor overapplied
- $518,750 applied and $1,036,250 underapplied
- $518,750 applied and $1,036,250 overapplied
**Analysis:**
First, we need to calculate the overhead rate per machine hour:
\[ \text{Overhead rate per machine hour} = \frac{\text{Estimated annual overhead cost}}{\text{Estimated machine hours}} \]
\[ \text{Overhead rate per machine hour} = \frac{1,660,000}{320,000} \]
\[ \text{Overhead rate per machine hour} = $5.1875 \]
Next, apply this rate to the actual machine hours to determine the applied overhead:
\[ \text{Overhead applied} = \text{Overhead rate per machine hour} \times \text{Actual machine hours} \]
\[ \text{Overhead applied} = 5.1875 \times 100,000 \]
\[ \text{Overhead applied} = $518,750 \]
To find the under- or overapplication of overhead, compare the applied overhead to the actual overhead cost:
\[ \text{Difference (under- or overapplied)} = \text{Applied overhead} - \text{Actual annual overhead cost} \]
\[ \text{Difference} = 518,750 - 1,555,000 \]
\[ \text{Difference} = -$1,036,250 \]
Since the difference is negative, this indicates underapplied overhead.
**Conclusion:**
The correct response is:
- $518,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b038a8b-53d9-4c60-ba0c-2200dc11f29a%2F713d357e-6c6f-463a-b618-f068cba5b846%2Fan3aqjn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Swifty Company Overhead Application Analysis**
Swifty Company applies overhead on the basis of machine hours. Given the following data, the task is to determine the overhead applied and the under- or overapplication of overhead for the period.
**Data Provided:**
1. **Estimated annual overhead cost:** $1,660,000
2. **Actual annual overhead cost:** $1,555,000
3. **Estimated machine hours:** 320,000
4. **Actual machine hours:** 100,000
**Question:**
Based on the above data, what is the overhead applied and the corresponding under- or overapplication of overhead for the period?
**Options:**
- $1,660,000 applied and $1,036,250 overapplied
- $1,555,000 applied and neither under- nor overapplied
- $518,750 applied and $1,036,250 underapplied
- $518,750 applied and $1,036,250 overapplied
**Analysis:**
First, we need to calculate the overhead rate per machine hour:
\[ \text{Overhead rate per machine hour} = \frac{\text{Estimated annual overhead cost}}{\text{Estimated machine hours}} \]
\[ \text{Overhead rate per machine hour} = \frac{1,660,000}{320,000} \]
\[ \text{Overhead rate per machine hour} = $5.1875 \]
Next, apply this rate to the actual machine hours to determine the applied overhead:
\[ \text{Overhead applied} = \text{Overhead rate per machine hour} \times \text{Actual machine hours} \]
\[ \text{Overhead applied} = 5.1875 \times 100,000 \]
\[ \text{Overhead applied} = $518,750 \]
To find the under- or overapplication of overhead, compare the applied overhead to the actual overhead cost:
\[ \text{Difference (under- or overapplied)} = \text{Applied overhead} - \text{Actual annual overhead cost} \]
\[ \text{Difference} = 518,750 - 1,555,000 \]
\[ \text{Difference} = -$1,036,250 \]
Since the difference is negative, this indicates underapplied overhead.
**Conclusion:**
The correct response is:
- $518,
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