Math Problem Statement
Mickley Company’s plantwide predetermined overhead rate is $18.00 per direct labor-hour and its direct labor wage rate is $10.00 per hour. The following information pertains to Job A-500:
Direct materials
$ 260
Direct labor
$ 100
Required:
What is the total manufacturing cost assigned to Job A-500?
If Job A-500 consists of 40 units, what is its unit product cost?
Note: Round your answer to 2 decimal places.
Solution
To solve this problem, we'll calculate the total manufacturing cost and the unit product cost for Job A-500 step by step.
1. Direct Labor-Hours for Job A-500:
We are given that the direct labor wage rate is $10.00 per hour, and the direct labor cost for Job A-500 is $100.
We can calculate the number of direct labor hours used for the job:
2. Manufacturing Overhead Applied:
Mickley Company uses a predetermined overhead rate of $18.00 per direct labor-hour. So, we can calculate the overhead applied to Job A-500:
3. Total Manufacturing Cost:
The total manufacturing cost includes direct materials, direct labor, and manufacturing overhead applied. Let's sum these components:
So, the total manufacturing cost assigned to Job A-500 is $540.
4. Unit Product Cost:
To find the unit product cost, we divide the total manufacturing cost by the number of units in Job A-500 (which is 40 units):
Thus, the unit product cost for Job A-500 is $13.50.
Final Answers:
- Total Manufacturing Cost assigned to Job A-500 = $540.00
- Unit Product Cost for Job A-500 = $13.50
Would you like further details or clarifications?
Here are 5 related questions to extend your understanding:
- How would the total manufacturing cost change if the overhead rate increased?
- What is the impact of using a different predetermined overhead rate on unit product costs?
- How would a change in direct labor hours affect the total manufacturing cost?
- If direct materials costs were $300 instead of $260, what would the new unit product cost be?
- What is the significance of using a plantwide predetermined overhead rate compared to departmental rates?
Tip: Always ensure your overhead rate reflects the most accurate estimate for labor or machine hours to maintain cost accuracy.
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Math Problem Analysis
Mathematical Concepts
Cost Accounting
Algebra
Formulas
Direct Labor-Hours = Direct Labor Cost / Direct Labor Wage Rate
Manufacturing Overhead Applied = Direct Labor-Hours × Predetermined Overhead Rate
Total Manufacturing Cost = Direct Materials + Direct Labor + Manufacturing Overhead Applied
Unit Product Cost = Total Manufacturing Cost / Number of Units
Theorems
-
Suitable Grade Level
Undergraduate (Accounting, Finance, Business)
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