Saved Lincoln, Inc., which uses a volume-based cost system, produces cat condos that sell for $170 each, Direct materials cost $21 per unit, and direct labor costs $17 per unit. Manufacturing overhead is appliled at a rate of 200% of direct labor cost. Nonmanufacturing costs are $28 per unit. What is the gross profit margin for the cat condos? (Round your Intermedlate calculations to nearest whole dollar.)

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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**Transcription and Explanation for Educational Website**

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**Problem Statement:**

Lincoln, Inc., which uses a volume-based cost system, produces cat condos that sell for $170 each. Direct materials cost $21 per unit, and direct labor costs $17 per unit. Manufacturing overhead is applied at a rate of 200% of direct labor cost. Nonmanufacturing costs are $28 per unit. What is the gross profit margin for the cat condos? (Round your intermediate calculations to nearest whole dollar.)

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**Multiple Choice Options:**

- 58.8%
- 57.6%
- 41.3%
- 41.2%

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**Explanation:**

To determine the gross profit margin, we need to calculate the total cost per unit and subtract it from the selling price.

**Steps to Calculate:**

1. **Direct Material Cost:** $21
2. **Direct Labor Cost:** $17
3. **Manufacturing Overhead Cost:** 200% of Direct Labor Cost
   - Calculation: 200% of $17 = 2 * $17 = $34
4. **Total Manufacturing Cost per Unit:**
   - Direct Material + Direct Labor + Manufacturing Overhead
   - $21 + $17 + $34 = $72
5. **Selling Price per Unit:** $170
6. **Gross Profit per Unit:**
   - Selling Price - Total Manufacturing Cost
   - $170 - $72 = $98

Calculate the gross profit margin as a percentage of the selling price:

\[ \text{Gross Profit Margin} = \left(\frac{\text{Gross Profit per Unit}}{\text{Selling Price per Unit}}\right) \times 100 \]

\[ \text{Gross Profit Margin} = \left(\frac{98}{170}\right) \times 100 \approx 57.6\% \]

Therefore, the correct answer is **57.6%**.
Transcribed Image Text:**Transcription and Explanation for Educational Website** --- **Problem Statement:** Lincoln, Inc., which uses a volume-based cost system, produces cat condos that sell for $170 each. Direct materials cost $21 per unit, and direct labor costs $17 per unit. Manufacturing overhead is applied at a rate of 200% of direct labor cost. Nonmanufacturing costs are $28 per unit. What is the gross profit margin for the cat condos? (Round your intermediate calculations to nearest whole dollar.) --- **Multiple Choice Options:** - 58.8% - 57.6% - 41.3% - 41.2% --- **Explanation:** To determine the gross profit margin, we need to calculate the total cost per unit and subtract it from the selling price. **Steps to Calculate:** 1. **Direct Material Cost:** $21 2. **Direct Labor Cost:** $17 3. **Manufacturing Overhead Cost:** 200% of Direct Labor Cost - Calculation: 200% of $17 = 2 * $17 = $34 4. **Total Manufacturing Cost per Unit:** - Direct Material + Direct Labor + Manufacturing Overhead - $21 + $17 + $34 = $72 5. **Selling Price per Unit:** $170 6. **Gross Profit per Unit:** - Selling Price - Total Manufacturing Cost - $170 - $72 = $98 Calculate the gross profit margin as a percentage of the selling price: \[ \text{Gross Profit Margin} = \left(\frac{\text{Gross Profit per Unit}}{\text{Selling Price per Unit}}\right) \times 100 \] \[ \text{Gross Profit Margin} = \left(\frac{98}{170}\right) \times 100 \approx 57.6\% \] Therefore, the correct answer is **57.6%**.
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