Sage Company is operating at 90% of capacity and is currently purchasing a part used in its manufacturing operations for $16 p unit. The unit cost for the business to make the part is $21 including fixed costs and $9 excluding fixed costs. If 36,347 units of the part are normally purchased during the year but could be manufactured using unused capacity, what would be the amount o differential cost increase or decrease from making the part rather than purchasing it? O a. $254,429 cost increase O b. $581,552 cost decrease O c. $181,735 cost increase O d. $254,429 cost decrease
Sage Company is operating at 90% of capacity and is currently purchasing a part used in its manufacturing operations for $16 p unit. The unit cost for the business to make the part is $21 including fixed costs and $9 excluding fixed costs. If 36,347 units of the part are normally purchased during the year but could be manufactured using unused capacity, what would be the amount o differential cost increase or decrease from making the part rather than purchasing it? O a. $254,429 cost increase O b. $581,552 cost decrease O c. $181,735 cost increase O d. $254,429 cost decrease
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question 53
![### Sage Company Cost Analysis
#### Background:
Sage Company is operating at 90% of its manufacturing capacity and currently buys a specific part for \$16 per unit. The cost to produce this part in-house is \$21 per unit, which includes both fixed and variable costs. The variable cost alone is \$9 per unit.
#### Problem Statement:
The problem requires determining the differential cost impact of manufacturing the part in-house using the unused capacity, instead of continuing to purchase it. The number of units in question is 36,347.
#### Question:
What would be the amount of differential cost increase or decrease from making the part rather than purchasing it?
1. a. \$254,429 cost increase
2. b. \$581,552 cost decrease
3. c. \$181,735 cost increase
4. d. \$254,429 cost decrease
**Differential Cost Analysis:**
1. **Current Purchase Cost:**
- Purchase cost per unit = \$16
- Total purchase cost for 36,347 units = 36,347 units * \$16/unit = \$581,552
2. **Manufacturing Cost:**
- Variable cost per unit = \$9
- Total manufacturing cost for 36,347 units excluding fixed costs = 36,347 units * \$9/unit = \$327,123
3. **Comparison:**
- Differential cost = Total purchase cost - Total manufacturing cost
- Differential cost = \$581,552 - \$327,123 = \$254,429 (cost decrease)
The correct option is:
- **d. \$254,429 cost decrease.**
This means Sage Company would save \$254,429 by manufacturing the part in-house instead of purchasing it, assuming they use the available 10% unused capacity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9659bf0-1b68-44e7-9939-e8c666150000%2Fac6f6af5-b024-4666-895a-deb19b4c5652%2Fvrfdfrp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Sage Company Cost Analysis
#### Background:
Sage Company is operating at 90% of its manufacturing capacity and currently buys a specific part for \$16 per unit. The cost to produce this part in-house is \$21 per unit, which includes both fixed and variable costs. The variable cost alone is \$9 per unit.
#### Problem Statement:
The problem requires determining the differential cost impact of manufacturing the part in-house using the unused capacity, instead of continuing to purchase it. The number of units in question is 36,347.
#### Question:
What would be the amount of differential cost increase or decrease from making the part rather than purchasing it?
1. a. \$254,429 cost increase
2. b. \$581,552 cost decrease
3. c. \$181,735 cost increase
4. d. \$254,429 cost decrease
**Differential Cost Analysis:**
1. **Current Purchase Cost:**
- Purchase cost per unit = \$16
- Total purchase cost for 36,347 units = 36,347 units * \$16/unit = \$581,552
2. **Manufacturing Cost:**
- Variable cost per unit = \$9
- Total manufacturing cost for 36,347 units excluding fixed costs = 36,347 units * \$9/unit = \$327,123
3. **Comparison:**
- Differential cost = Total purchase cost - Total manufacturing cost
- Differential cost = \$581,552 - \$327,123 = \$254,429 (cost decrease)
The correct option is:
- **d. \$254,429 cost decrease.**
This means Sage Company would save \$254,429 by manufacturing the part in-house instead of purchasing it, assuming they use the available 10% unused capacity.
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