Math Problem Statement

Marian Manufacturing (2M) applies manufacturing overhead to jobs based on direct labor costs. For Year 2, 2M estimates its manufacturing overhead to be $424,580 and its direct labor costs to be $816,500. 2M worked on three jobs for the year. Job 2M-1, which was sold during Year 2, had actual direct labor costs of $671,000. Job 2M-2, which was completed but not sold at the end of the year, had actual direct labor costs of $451,400. Job 2M-3, which is still in work-in-process inventory, had actual direct labor costs of $97,600. Actual manufacturing overhead for Year 2 was $669,200.

Required: Prepare an entry to allocate over- or underapplied overhead to Work in Process, Finished Goods and Cost of Goods Sold. Note: If no entry is required for a transaction/event, select "No journal entry required" in the first account field.

Solution

To allocate over- or underapplied manufacturing overhead to Work in Process (WIP), Finished Goods (FG), and Cost of Goods Sold (COGS), we first need to determine the applied overhead and compare it to the actual overhead to calculate the over- or underapplied amount.

Here’s a step-by-step approach:

1. Calculate the Predetermined Overhead Rate (POHR):

POHR=Estimated Manufacturing OverheadEstimated Direct Labor Costs=424,580816,500=0.52 or 52%\text{POHR} = \frac{\text{Estimated Manufacturing Overhead}}{\text{Estimated Direct Labor Costs}} = \frac{424,580}{816,500} = 0.52 \text{ or } 52\%

This means 2M applies overhead at 52% of direct labor costs.

2. Calculate the Applied Overhead for Each Job:

  • Job 2M-1 (COGS): Applied Overhead=671,000×0.52=349,920\text{Applied Overhead} = 671,000 \times 0.52 = 349,920

  • Job 2M-2 (Finished Goods): Applied Overhead=451,400×0.52=234,728\text{Applied Overhead} = 451,400 \times 0.52 = 234,728

  • Job 2M-3 (WIP): Applied Overhead=97,600×0.52=50,752\text{Applied Overhead} = 97,600 \times 0.52 = 50,752

Total applied overhead is the sum of applied overhead across all jobs: 349,920+234,728+50,752=635,400349,920 + 234,728 + 50,752 = 635,400

3. Compare Applied Overhead to Actual Overhead:

  • Actual Overhead for Year 2: $669,200
  • Applied Overhead: $635,400

Underapplied Overhead=Actual OverheadApplied Overhead=669,200635,400=33,800\text{Underapplied Overhead} = \text{Actual Overhead} - \text{Applied Overhead} = 669,200 - 635,400 = 33,800

This means 2M underapplied $33,800 of overhead.

4. Allocate the Underapplied Overhead:

The underapplied overhead needs to be allocated to Work in Process (WIP), Finished Goods (FG), and Cost of Goods Sold (COGS) based on the proportion of applied overhead for each:

Total Applied Overhead=635,400\text{Total Applied Overhead} = 635,400

  • COGS Allocation: 349,920635,400×33,800=18,600\frac{349,920}{635,400} \times 33,800 = 18,600

  • Finished Goods Allocation: 234,728635,400×33,800=12,484\frac{234,728}{635,400} \times 33,800 = 12,484

  • WIP Allocation: 50,752635,400×33,800=2,716\frac{50,752}{635,400} \times 33,800 = 2,716

5. Prepare the Journal Entry:

Now we can prepare the journal entry to allocate the underapplied overhead:

AccountDebitCredit
Cost of Goods Sold (COGS)$18,600
Finished Goods Inventory (FG)$12,484
Work in Process (WIP)$2,716
Manufacturing Overhead$33,800

This entry adjusts for the underapplied overhead by debiting the relevant inventory and cost accounts and crediting the manufacturing overhead account.

Would you like more details on any part of this explanation?

Additional Questions:

  1. How is underapplied overhead different from overapplied overhead?
  2. Why do companies allocate overhead rather than directly tracking it for each job?
  3. How does the predetermined overhead rate help in job costing?
  4. What is the impact of underapplied overhead on financial statements?
  5. How are variances like underapplied overhead corrected in subsequent periods?

Tip:

Always compare actual overhead with applied overhead throughout the year to avoid large variances at the end of the year.

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Math Problem Analysis

Mathematical Concepts

Overhead Allocation
Proportional Allocation
Cost Accounting

Formulas

Predetermined Overhead Rate (POHR) = Estimated Overhead / Estimated Direct Labor Costs
Applied Overhead = Actual Direct Labor Costs × POHR
Under/Overapplied Overhead = Actual Overhead - Applied Overhead

Theorems

Cost Allocation Theorem

Suitable Grade Level

College/University (Accounting/Finance)