Math Problem Statement

Orcasa, Inc., which uses a predetermined overhead rate based on direct labor hours, estimated total overhead for the year to be $12,000,000, and total direct labor hours to be 400,000 hours.

In April, Orcasa incurred actual overhead costs of $1,125,000 and used 40,000 hours.

  1. Calculate Orcasa’s predetermined overhead rate.

Predetermined overhead rate per direct labor hour: $Answer 1

  1. How much was Orcasa’s over- or under-applied overhead for the month of April? Note: Do not use a negative sign. Orcasa Answer 2 -applied overhead by $Answer 3 for the month of April.

Solution

Let’s solve the problem step by step.


1. Calculate the predetermined overhead rate

The predetermined overhead rate (POHR) is calculated as:

POHR=Estimated Total OverheadEstimated Total Direct Labor Hours\text{POHR} = \frac{\text{Estimated Total Overhead}}{\text{Estimated Total Direct Labor Hours}}

Given:

  • Estimated Total Overhead = $12,000,000
  • Estimated Total Direct Labor Hours = 400,000 hours

POHR=12,000,000400,000=30per direct labor hour\text{POHR} = \frac{12,000,000}{400,000} = 30 \, \text{per direct labor hour}


Answer 1: $30 per direct labor hour


2. Calculate Orcasa’s over- or under-applied overhead for April

To determine whether the overhead is over- or under-applied, follow these steps:

  1. Calculate the applied overhead for April: Applied Overhead=POHR×Actual Direct Labor Hours\text{Applied Overhead} = \text{POHR} \times \text{Actual Direct Labor Hours} Given:

    • POHR = $30 per direct labor hour
    • Actual Direct Labor Hours (April) = 40,000 hours

    Applied Overhead=30×40,000=1,200,000\text{Applied Overhead} = 30 \times 40,000 = 1,200,000

  2. Compare applied overhead with actual overhead:

    • Actual Overhead (April) = $1,125,000
    • Applied Overhead (April) = $1,200,000

    Difference=Applied OverheadActual Overhead=1,200,0001,125,000=75,000\text{Difference} = \text{Applied Overhead} - \text{Actual Overhead} = 1,200,000 - 1,125,000 = 75,000

Since the applied overhead is greater than the actual overhead, this is an over-applied overhead.


Answer 2: Orcasa over-applied overhead by $75,000 for the month of April.


Summary:

  1. Predetermined Overhead Rate: $30 per direct labor hour
  2. Over-applied Overhead: $75,000

Let me know if you’d like further clarification or more details!


Here are 5 related questions to expand your understanding:

  1. What is the impact of over- or under-applied overhead on financial statements?
  2. How can a company adjust for over- or under-applied overhead at the end of the year?
  3. What are some factors that could cause overhead to be over- or under-applied?
  4. How can Orcasa, Inc., improve its overhead allocation process?
  5. How does predetermined overhead rate affect job costing in manufacturing?

Tip: Regularly revisiting your estimates and actual data can help improve the accuracy of your overhead application.

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Math Problem Analysis

Mathematical Concepts

Overhead Calculation
Rate Application
Comparative Analysis

Formulas

Predetermined Overhead Rate = Estimated Total Overhead / Estimated Total Direct Labor Hours
Applied Overhead = Predetermined Overhead Rate × Actual Direct Labor Hours
Over- or Under-applied Overhead = Applied Overhead - Actual Overhead

Theorems

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Suitable Grade Level

Grades 10-12 (Advanced Accounting/Finance)