Problem 17

Question

The data related to Osage Sporting Goods Company's factory overhead cost for the production of 60,000 units of product are as follows: Productive capacity at \(100 \%\) of normal was 80,000 hours, and the factory overhead cost budgeted at the level of 76,000 standard hours was \(\$ 490,000\). Based upon these data, the chief cost accountant prepared the following variance analysis: Identify the errors in the factory overhead cost variance analysis.

Step-by-Step Solution

Verified
Answer
Check incorrect utilization hours, improper cost allocation, and miscalculated variances. Correct errors by verifying calculations and budget consistency.
1Step 1: Understand the Variance Analysis Components
In variance analysis, factory overhead cost is divided into fixed and variable costs. The variances typically involved are spending variance, efficiency variance, and volume variance. The key is to compare actual costs with standard/budgeted costs at the achieved production level.
2Step 2: Examine the Capacity Utilization
Given a total capacity of 80,000 hours, but variable costs budgeted for 76,000 standard hours, it is crucial to distinguish how many hours were actually utilized for the production of 60,000 units. This will determine the efficiency and the volume variance.
3Step 3: Confirm Overhead Cost Allocation
Check if the overhead costs of $490,000 were allocated according to the actual versus budgeted uses. Variances often arise if the actual hours deviate significantly from the assumed operating level of 76,000 hours.
4Step 4: Calculate Variances
1. Spending Variance: Calculate by finding the difference between actual costs and budgeted costs based on actual hours used. 2. Efficiency Variance: Check the difference between the standard cost of the actual hours used and the standard cost at budgeted hours. 3. Volume Variance: Calculate by comparing the budgeted overhead for 76,000 hours against the incurred costs based on the actual production of 60,000 units.
5Step 5: Identify Errors in the Variance Calculation
After calculating the variances, identify errors such as using incorrect production levels or standard hours. Errors might come from improper allocation of fixed and variable costs based on these hours.
6Step 6: Evaluate the Consistency of the Budgeted Costs
Ensure that the budgeted costs reflect realistic expectations about production levels and costs. Any discrepancies might indicate an error in the variance analysis due to inconsistent or inaccurate budgeting.

Key Concepts

Spending Variance CalculationEfficiency Variance AnalysisVolume Variance IdentificationCost Allocation Assessment
Spending Variance Calculation
The spending variance calculation is a major part of understanding factory overhead costs. This variance measures whether your company spent more or less on overhead costs than you had budgeted. To find this, you'll want to compare the actual overhead costs incurred to the costs that should have been incurred, considering the actual amount of hours worked.
A simple way to think about it is:
- **Actual Cost:** What you really spent on overhead.- **Budgeted Cost for Actual Hours:** What you planned to spend for the actual hours worked.The formula to calculate the spending variance is:\[ Spending\ Variance = (Actual\ Overhead\ Costs) - (Budgeted\ Overhead\ Costs\ for\ Actual\ Hours) \]
Consider any deviations in costs such as utilities, supplies, and labor rates which might cause this spending variance. Understanding the root causes of these differences helps in taking corrective measures.
Efficiency Variance Analysis
Efficiency variance analysis focuses on how efficiently resources were used during the production process. It helps in identifying any wastage of resources like time and materials compared to the standard benchmark.
Imagine you have a set of standard hours you believe should be enough for production. The efficiency variance compares these expected hours to the actual hours worked.
Here's how to calculate the efficiency variance:- **Standard Hours for Actual Production**: The hours you think it should take.- **Actual Hours Used**: The hours actually spent.\[ Efficiency\ Variance = (Standard\ Hours\ for\ Actual\ Production) - (Actual\ Hours) \]
Banks on planning levels versus execution. A favorable efficiency variance indicates less time spent than planned, enhancing productivity. An unfavorable variance means more time was required, hinting at inefficiencies.
Volume Variance Identification
Volume variance identification examines the cost differences due to changes in production volume. It's crucial because the actual production might not match the initial estimates or budgeted levels.
Volume variance takes into account the difference between budgeted production levels and the actual production achieved. It identifies how variations in the volume affected the allocation of fixed overhead costs.
Here's how it works:- **Budgeted Production Level Hours**: The hours you budgeted for your production.- **Actual Production**: The actual output.\[ Volume\ Variance = (Budgeted\ Overhead\ Costs\ at\ Budgeted\ Volume) - (Incurred\ Overhead\ Costs\ at\ Actual\ Volume)\]
This variance typically arises when the production level fluctuates, impacting the per-unit overhead cost. Understanding this helps in strategic planning and capacity management.
Cost Allocation Assessment
Cost allocation assessment is important for ensuring that every part of the production process receives its fair share of overhead costs. Inaccurate cost allocation can lead to misleading financial insights and bad decision-making.
The goal is to distribute costs based on accurate measures of activity, ensuring resources are used effectively. Here's what you should consider during a cost allocation assessment:
- **Direct vs. Indirect Costs**: Ensure each is categorically distinguished. - **Fixed and Variable Overheads**: Know how each affects the cost base. Moreover, understanding the differences between fixed and variable costs helps in creating an accurate variance analysis model. Fixed costs remain constant regardless of the production level, while variable costs fluctuate. This precision aids in presenting a clearer picture of your financial standing, leading to better budgeting practices.