A coal company invests $20 million in a mine estimated to have 25 million tons of coal and no salvage value. It is expected that the mine will be in operation for 5 years. In the first year, 1070000 tons of coal are extracted and sold. What is the depletion for the first year? O $85600 $856000 O $256800 O Cannot be determined from the information provided
A coal company invests $20 million in a mine estimated to have 25 million tons of coal and no salvage value. It is expected that the mine will be in operation for 5 years. In the first year, 1070000 tons of coal are extracted and sold. What is the depletion for the first year? O $85600 $856000 O $256800 O Cannot be determined from the information provided
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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![**Depletion Calculation: A Practical Application**
**Scenario:**
A coal company has invested $20 million in a mine, which is estimated to contain 25 million tons of coal with no salvage value. The mine is anticipated to be operational for a period of 5 years. During the first year, 1,070,000 tons of coal are extracted and sold.
**Question:**
What is the depletion for the first year?
**Options:**
- $85,600
- $856,000
- $256,800
- Cannot be determined from the information provided
**Solution:**
To calculate the depletion expense for the first year, the following steps should be taken:
1. **Determine the depletion cost per ton:**
\[
\text{Depletion Cost per Ton} = \frac{\text{Total Investment}}{\text{Total Estimated Tons}}
\]
\[
\text{Depletion Cost per Ton} = \frac{20,000,000}{25,000,000} = \$0.80 \text{ per ton}
\]
2. **Calculate the depletion expense for the first year:**
\[
\text{Depletion Expense} = \text{Depletion Cost per Ton} \times \text{Tons Extracted in the First Year}
\]
\[
\text{Depletion Expense} = 0.80 \times 1,070,000 = \$856,000
\]
Thus, the correct option is:
- $856,000
This exercise demonstrates how to apply the unit depletion rate to determine the annual depletion expense for resource extraction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f5562d6-49ce-4c9c-a9b7-824e476f5d05%2Fb681fc04-6c42-41c3-91b9-b704c7f797ef%2Fgkgao4p_processed.png&w=3840&q=75)
Transcribed Image Text:**Depletion Calculation: A Practical Application**
**Scenario:**
A coal company has invested $20 million in a mine, which is estimated to contain 25 million tons of coal with no salvage value. The mine is anticipated to be operational for a period of 5 years. During the first year, 1,070,000 tons of coal are extracted and sold.
**Question:**
What is the depletion for the first year?
**Options:**
- $85,600
- $856,000
- $256,800
- Cannot be determined from the information provided
**Solution:**
To calculate the depletion expense for the first year, the following steps should be taken:
1. **Determine the depletion cost per ton:**
\[
\text{Depletion Cost per Ton} = \frac{\text{Total Investment}}{\text{Total Estimated Tons}}
\]
\[
\text{Depletion Cost per Ton} = \frac{20,000,000}{25,000,000} = \$0.80 \text{ per ton}
\]
2. **Calculate the depletion expense for the first year:**
\[
\text{Depletion Expense} = \text{Depletion Cost per Ton} \times \text{Tons Extracted in the First Year}
\]
\[
\text{Depletion Expense} = 0.80 \times 1,070,000 = \$856,000
\]
Thus, the correct option is:
- $856,000
This exercise demonstrates how to apply the unit depletion rate to determine the annual depletion expense for resource extraction.
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