Determining Total Fixed Overhead Costs for Blaine Company

In-depth analysis of the fixed cost components using mixed cost calculations

Key Highlights

• Fixed Cost Components: Depreciation is fully fixed, while a segment of utility costs is fixed.
• Utility Cost Analysis: The high-low method helps isolate the variable and fixed portions of the mixed utility cost.
• Total Fixed Overhead Determination: Aggregating fixed depreciation and the fixed portion of utilities yields the overall fixed overhead.

Introduction

In addressing the problem provided, we analyze the components of overhead costs incurred by Blaine Company—a highly automated manufacturer—to determine its total fixed overhead costs. The company presents a scenario where, at an activity level of 6,000 machine setups, the total overhead costs amount to £240,000. This total overhead includes distinctly categorized costs: fixed depreciation, variable lubrication, and mixed utility costs. The utility cost component is especially noteworthy for being partially fixed and partially variable. After outlining the information provided, we apply cost analysis techniques, particularly the high-low method, to split the utility cost's mixed components into fixed and variable portions. In doing so, we can accurately capture the total fixed costs applicable within the relevant range of the provided activity levels.

Understanding Fixed and Variable Costs

Fixed Costs

Fixed costs remain constant regardless of the level of activity within the relevant range. They do not vary with the number of machine setups and are incurred even when production levels are low or at capacity. In this case, depreciation is given as an explicit fixed cost at £80,000.

Variable Costs

Variable costs, in contrast, change directly in proportion to the activity level. For Blaine Company, lubrication is an all-variable cost and is reported to be £72,000 at 6,000 setups. Therefore, it increases or decreases in tandem with the number of setups.

Mixed Costs

Mixed costs have both fixed and variable components. The utility expense is a prime example of a mixed cost. At 6,000 setups, utility costs total £88,000, while at 9,000 setups, these costs rise to £112,000. The variation between these two points offers insight into how the variable and fixed elements of utility costs can be segregated for analytical purposes.

Decomposing the Utility Cost

The High-Low Method

To effectively separate the fixed and variable components of a mixed cost, the high-low method is employed. This method uses the highest and lowest levels of activity and their corresponding total costs to compute the variable cost per unit. Once the variable component is determined, the fixed component can easily be calculated by subtracting the total variable cost from the mixed cost at either the high or low level of activity.

Step 1: Calculate the Increase in Activity and Cost

The first step is to identify the change in both the number of setups and the total utility costs between the two activity levels:

Number of setups increase: 9,000 setups – 6,000 setups = 3,000 setups.

Total utility cost increase: £112,000 – £88,000 = £24,000.

Step 2: Determine the Variable Cost per Setup

The variable cost per unit is derived by dividing the change in utility cost by the change in activity:

Variable cost per setup: £24,000 / 3,000 setups = £8 per setup.

Step 3: Calculate the Fixed Portion of the Utility Cost

Once the variable cost per unit is established, compute the total variable cost at the 6,000 setups level:

Total variable utility cost at 6,000 setups: 6,000 setups × £8 per setup = £48,000.

The fixed component of the utility cost is determined by subtracting this calculated variable cost from the total utility cost at 6,000 setups:

Fixed utility cost: £88,000 – £48,000 = £40,000.

Calculating Total Fixed Overhead Costs

With the fixed components clearly identified from the provided data, we now calculate the total fixed overhead costs for Blaine Company. The fixed costs include:

• Depreciation: £80,000 (entirely fixed)
• Fixed portion of Utility Costs: £40,000 (derived from the utility cost analysis)

Therefore, the total fixed overhead cost is obtained by summing these figures:

Total fixed overhead = Depreciation + Fixed utility cost = £80,000 + £40,000 = £120,000.

This result is reached by systematically isolating the fixed and variable components, ensuring that only those costs that do not vary with the number of machine setups are included in the fixed overhead total.

In-depth Discussion of Overhead Cost Behavior

Analyzing Cost Behavior within the Relevant Range

The concept of the relevant range is essential in cost accounting. The relevant range defines the span of activity levels over which fixed costs remain invariant, even as production and setup volumes fluctuate. In the scenario provided, both 6,000 and 9,000 setups fall within this relevant range, meaning that the fixed components should remain constant despite changes in activity.

The fixed depreciation cost of £80,000 is immune to fluctuations in the number of machine setups because depreciation is allocated regardless of the operational level, assuming no changes in the underlying asset base. Conversely, the utility cost, which is mixed, exhibits a linear relationship with the number of setups due to its proportional variable component. The blend of fixed and variable components in utility costs underscores the necessity of accurate cost separation, which is achieved through the high-low method.

Evaluating the Relevance of Variable Costs

The lubrication costs at £72,000 serve as a perfect example of purely variable costs, directly scaling with the number of setups. Although these costs are essential to the overall cost structure, they are irrelevant when calculating the static fixed overhead component. Instead, it is crucial to segregate only those elements that do not change with the level of activity, such as depreciation and the fixed utility portion.

Implications for Budgeting and Cost Control

Understanding and calculating fixed overhead costs accurately is vital for effective budgeting and financial control. Managers extensively rely on these calculations for decision-making processes such as pricing, evaluating efficiency, budgeting, and forecasting. Knowledge of fixed costs allows for better predictions regarding break-even points, as fixed costs do not adjust with changes in production volume within the relevant range. Therefore, isolating them prevents misinterpretation of cost behavior, thus enabling more precise forecasting and planning.

Firms like Blaine Company can utilize this detailed breakdown not only for internal planning and management reporting but also for external communication, particularly when the cost information is used for comparisons within industry benchmarks or for investment and credit analysis. The clarity achieved by distinguishing fixed from variable costs contributes to a transparent costing structure, which is central to both strategic and operational decision-making.

Comparison and Summary Table

Summary of Overhead Costs

As this table illustrates, when combining the fixed components, we arrive at the total fixed overhead cost of £120,000.

Conceptual Considerations and Practical Applications

Application in Managerial Decision-Making

Managers and accountants often use techniques such as the high-low method to make decisions about production and cost control. By clearly identifying fixed and variable cost components, financial planning becomes more accurate and reliable. For example, understanding that depreciation remains constant allows managers to allocate resources and adjust operational levels without affecting the fixed cost base.

Moreover, understanding the breakdown of mixed costs imparts crucial insights for cost analysis. Knowing that £40,000 of the utility cost is fixed helps in forecasting and establishing a more stable financial baseline. In contrast, the variable component will need to be adjusted with any changes in production volume. This segmentation assists in making informed decisions regarding product pricing, resource allocation, and expansion strategies.

Impact on Financial Reporting and Analysis

For financial reporting purposes, the separation of fixed from variable costs is not merely an academic exercise—it directly affects the portrayal of cost behavior in budgets and income statements. By separating these elements, companies can determine their operating leverage. Operating leverage measures how a percentage change in sales volume will impact profits, given the presence of fixed costs.

A company like Blaine, with significant fixed overhead costs, will experience significant changes in operating income with fluctuations in activity levels, making accurate cost separation a critical component of operational risk assessment. In such cases, understanding and controlling fixed cost components prevents miscalculations in profit expectations during periods of variable production.

Detailed Problem Resolution and Final Determination

Step-by-Step Review

Let us revisit the problem step by step to see how the final answer of £120,000 in total fixed overhead costs is derived:

• Overhead Costs at 6,000 setups: Totaling £240,000, they comprise depreciation, lubrication, and mixed utility costs.
• Depreciation: Clearly identified as a fixed cost of £80,000.
• Lubrication: A variable cost amounting to £72,000.
• Utility Costs:
  • At 6,000 setups: Total cost is £88,000.
  • At 9,000 setups: Total cost increases to £112,000.
  • Variable Component: An increase of £24,000 over an increase of 3,000 setups gives a rate of £8 per setup.
  • Fixed Component: The total variable portion for 6,000 setups is 6,000 × £8 = £48,000. Therefore, the fixed portion is £88,000 - £48,000 = £40,000.
• Aggregate Fixed Costs: Adding the fully fixed depreciation (£80,000) to the fixed portion of the utility cost (£40,000) gives a final total fixed overhead of £120,000.

This step-by-step breakdown confirms that the total fixed overhead cost for Blaine Company is indeed closest to £120,000, making it the correct choice among the given multiple-choice options.

Conclusion

In conclusion, the total fixed overhead costs for Blaine Company are determined to be £120,000. This outcome is derived by carefully applying the high-low method to break down the mixed nature of the utility cost into its variable and fixed components. The fixed costs include both the depreciation expense of £80,000 and the fixed portion of utility cost amounting to £40,000. While lubrication costs were entirely variable, they do not play any role in the fixed cost calculations. Understanding and segregating these cost components is essential not only for this problem but also for broader financial planning, budgeting, and operational decision-making. The methodological approach discussed herein not only provides clarity into the structural cost composition of the company, but also offers a replicable framework for similar analyses in cost accounting.

References

• The Blaine Company Cost Analysis - Numerade
• Blaine Company Overhead Breakdown - Studocu
• High-Low Method Detailed Explanation - CourseHero

Recommended For Further Exploration

Exploring the high-low method in cost accounting

Techniques for breaking down mixed costs

Role of fixed costs in financial planning