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 $

FINANCIAL ACCOUNTING
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ISBN:9781259964947
Author:Libby
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Chapter1: Financial Statements And Business Decisions
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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
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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