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.)
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.)
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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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.)
---
**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%**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F722bea73-1b23-42a9-a20d-4d3ae022af80%2Fa6f156a6-3de4-4cc8-8d78-004072d7f7ab%2Fkm6car_processed.jpeg&w=3840&q=75)
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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