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

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
icon
Related questions
Question
**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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Depletions and Amortizations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, accounting and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
FINANCIAL ACCOUNTING
FINANCIAL ACCOUNTING
Accounting
ISBN:
9781259964947
Author:
Libby
Publisher:
MCG
Accounting
Accounting
Accounting
ISBN:
9781337272094
Author:
WARREN, Carl S., Reeve, James M., Duchac, Jonathan E.
Publisher:
Cengage Learning,
Accounting Information Systems
Accounting Information Systems
Accounting
ISBN:
9781337619202
Author:
Hall, James A.
Publisher:
Cengage Learning,
Horngren's Cost Accounting: A Managerial Emphasis…
Horngren's Cost Accounting: A Managerial Emphasis…
Accounting
ISBN:
9780134475585
Author:
Srikant M. Datar, Madhav V. Rajan
Publisher:
PEARSON
Intermediate Accounting
Intermediate Accounting
Accounting
ISBN:
9781259722660
Author:
J. David Spiceland, Mark W. Nelson, Wayne M Thomas
Publisher:
McGraw-Hill Education
Financial and Managerial Accounting
Financial and Managerial Accounting
Accounting
ISBN:
9781259726705
Author:
John J Wild, Ken W. Shaw, Barbara Chiappetta Fundamental Accounting Principles
Publisher:
McGraw-Hill Education