c) If it is estimated that 13,800 factory machine hours will be run in July, what is the expected total power cost for July? Total power cost $
c) If it is estimated that 13,800 factory machine hours will be run in July, what is the expected total power cost for July? Total power cost $
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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![### Analysis of Power Costs and Factory Machine Hours
Sunland Co. gathered the following information on power costs and factory machine usage for the last six months:
| Month | Power Cost | Factory Machine Hours |
|----------|--------------|-----------------------|
| January | $28,390 | 15,800 |
| February | $36,069 | 21,400 |
| March | 32,895 | 18,700 |
| April | 26,235 | 15,100 |
| May | 23,890 | 13,500 |
| June | 20,700 | 10,500 |
Using the high-low method of analyzing costs, answer the following questions and show computations to support your answers.
#### (a) Variable Portion of Power Costs
**Question:** What is the estimated variable portion of power costs per factory machine hour?
**Answer:** $1.41 per factory machine hour.
**Explanation:**
To calculate the variable cost per factory machine hour using the high-low method, find the difference in costs and machine hours between the highest and lowest months.
\[ \text{Variable cost per hour} = \frac{\text{Cost}_{\text{high}} - \text{Cost}_{\text{low}}}{\text{Hours}_{\text{high}} - \text{Hours}_{\text{low}}} = \frac{36,069 - 20,700}{21,400 - 10,500} = \frac{15,369}{10,900} = 1.41 \]
#### (b) Fixed Power Costs
**Question:** What is the estimated fixed power cost each month?
**Answer:** $5,895 per month.
**Explanation:**
To find the fixed costs, use the total cost equation:
\[ \text{Total cost} = \text{Fixed cost} + (\text{Variable cost per hour} \times \text{Number of hours}) \]
Using the high month for demonstration:
\[ 36,069 = \text{Fixed cost} + (1.41 \times 21,400) \]
\[ \text{Fixed cost} = 36,069 - 30,174 = 5,895 \]
This value will be the same when using the low month if calculated correctly as shown.
#### (c) Total Power Cost](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff98f55b6-fded-4707-ac4b-326c022c9142%2F98527266-c509-49d5-9c06-8cb4909a5b90%2Fc5ijwij_processed.png&w=3840&q=75)
Transcribed Image Text:### Analysis of Power Costs and Factory Machine Hours
Sunland Co. gathered the following information on power costs and factory machine usage for the last six months:
| Month | Power Cost | Factory Machine Hours |
|----------|--------------|-----------------------|
| January | $28,390 | 15,800 |
| February | $36,069 | 21,400 |
| March | 32,895 | 18,700 |
| April | 26,235 | 15,100 |
| May | 23,890 | 13,500 |
| June | 20,700 | 10,500 |
Using the high-low method of analyzing costs, answer the following questions and show computations to support your answers.
#### (a) Variable Portion of Power Costs
**Question:** What is the estimated variable portion of power costs per factory machine hour?
**Answer:** $1.41 per factory machine hour.
**Explanation:**
To calculate the variable cost per factory machine hour using the high-low method, find the difference in costs and machine hours between the highest and lowest months.
\[ \text{Variable cost per hour} = \frac{\text{Cost}_{\text{high}} - \text{Cost}_{\text{low}}}{\text{Hours}_{\text{high}} - \text{Hours}_{\text{low}}} = \frac{36,069 - 20,700}{21,400 - 10,500} = \frac{15,369}{10,900} = 1.41 \]
#### (b) Fixed Power Costs
**Question:** What is the estimated fixed power cost each month?
**Answer:** $5,895 per month.
**Explanation:**
To find the fixed costs, use the total cost equation:
\[ \text{Total cost} = \text{Fixed cost} + (\text{Variable cost per hour} \times \text{Number of hours}) \]
Using the high month for demonstration:
\[ 36,069 = \text{Fixed cost} + (1.41 \times 21,400) \]
\[ \text{Fixed cost} = 36,069 - 30,174 = 5,895 \]
This value will be the same when using the low month if calculated correctly as shown.
#### (c) Total Power Cost
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