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When using the high-low method, should you base the high and low observations on the dependent variable or on the cost driver?

Short Answer

Expert verified
When using the high-low method, you should base the high and low observations on the cost driver (activity level), not the dependent variable (total mixed cost). This approach allows for a better assessment and estimation of the cost behavior relationship between the dependent variable and the cost driver.

Step by step solution

01

Define the dependent variable and cost driver.

A dependent variable is a value that changes depending on the changes in another variable (the independent variable). In the context of the high-low method, the dependent variable is the total mixed cost consisting of both variable and fixed costs. The cost driver is the activity level or volume that causes the cost to change – it is the independent variable in this relationship.
02

Understand the high-low method.

The high-low method is a way to estimate the variable cost component and the fixed cost component of a mixed cost. The method works by determining the change in cost between the highest and lowest activity levels and dividing that change by the difference in the activity levels themselves. After calculating the variable cost per unit, the fixed cost is found by subtracting the variable cost component from the mixed cost at either the high or low activity level.
03

Determine the appropriate observations for the high-low method.

To apply the high-low method, one should identify the highest and lowest activity levels (cost driver) and their respective total mixed costs (dependent variable). This approach is necessary because the costs change based on different activity levels rather than the cost itself. As the primary goal is to determine the cost behavior related to the activity levels, the high and low observations should be based on the cost driver, not the dependent variable (total mixed cost). In conclusion, when using the high-low method, you should base the high and low observations on the cost driver (activity level), not the dependent variable (total mixed cost). By focusing on the activity levels, one can better assess and estimate the cost behavior relationship between the dependent variable and the cost driver.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Dependent Variable in Cost Analysis
In cost analysis, particularly when using methods like the high-low method, the term dependent variable frequently comes up. A dependent variable, as the name suggests, is a value that depends on another factor for its outcome. In the context of business and accounting, this variable generally represents costs or expenses that vary based on a certain activity or factor, known as the independent variable.

Understanding the dependent variable is critical for effective cost control and decision-making. For example, the total cost of producing goods (dependent variable) may depend on the number of units produced (independent variable). A change in the production level will directly affect the total cost, which is why analyzing this relationship is essential in the management of business finances.
Cost Driver: The Trigger of Cost Changes
The cost driver is a key concept in accounting and cost management. It's the underlying factor that 'drives' or causes the costs to change. As an independent variable, it could be anything from the number of machine hours, labor hours, or units produced, depending on the specific circumstances.

Often, identifying the correct cost driver is pivotal for accurate cost analysis. For instance, if direct labor hours are causing the fluctuation in the cost of production, then labor hours are the prime cost driver. Accurately pinpointing this can help businesses determine where to focus their cost management efforts and can also influence decision-making for pricing or budgeting.
Mixed Cost Estimation: Combining Variables and Constants
The concept of mixed cost estimation refers to the process of separating a cost that has both variable and fixed cost elements. This process often involves using a method such as the high-low method to determine the variable cost rate and the fixed cost amount.

When costs vary with the level of production or service but also include a constant element, they are referred to as mixed costs. Utilities with a base charge plus a cost per usage unit, or salaried employees who also earn commissions, are typical examples. Mixed cost estimation is essential for budgetary planning and can affect decisions such as pricing strategies or cost reduction measures. Understanding the proportion of variable and fixed costs within a mixed cost allows businesses to forecast expenses more accurately and manage their finances more efficiently.
Cost Behavior Analysis
A cost behavior analysis examines how different types of costs change in response to changes in business activity levels. It's a fundamental aspect of managerial accounting and helps in planning, budgeting, and operational decision-making.

  • Fixed Costs: These costs remain constant regardless of activity level. Examples can include rent, salaries, and insurance.
  • Variable Costs: Variable costs fluctuate with the level of production or sales. For instance, costs of raw materials or sales commissions.
  • Mixed Costs: As mentioned previously, these costs have both fixed and variable components, such as utility costs.
Cost behavior analysis allows a business to anticipate how costs will rise or fall with activity levels, and adjust strategies accordingly. It is particularly useful for setting sales targets, making pricing decisions, and evaluating the profitability of different product lines or services.

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Most popular questions from this chapter

\((\mathrm{CPA}, \text { adapted })\). The vertical axes of the graphs below represent total cost, and the horizontal axes represent units produced during a calendar year. In each case, the zero point of dollars and production is at the intersection of the two axes. Select the graph that matches the numbered manufacturing cost data (requirements 1-9). Indicate by letter which graph best fits the situation or item described. The graphs may be used more than once. 1\. Annual depreciation of equipment, where the amount of depreciation charged is computed by the machine-hours method. 2\. Electricity bill-a flat fixed charge, plus a variable cost after a certain number of kilowatt-hours are used, in which the quantity of kilowatt-hours used varies proportionately with quantity of units produced. 3\. City water bill, which is computed as follows: The gallons of water used vary proportionately with the quantity of production outputt 4\. cost of direct materials, where direct material cost per unit produced decreases with each pound of material used (for example, if 1 pound is used, the costis S10; if 2 pounds are used, the costis \$19.98 3 pounds are used, the cost is \(\$ 29.94\), with a minimum cost per unit of \(\$ 9.20\) 5\. Annual depreciation of equipment, where the amount is computed by the straight-line method. When the depreciation schedule was prepared, it was anticipated that the obsolescence factor would be greater than the wear-and- tear factor. 6\. Rent on a manufacturing plant donated by the city, where the agreement calls for a fixed-fee payment unless 200,000 labor-hours are worked, in which case no rent tis paid. 7\. Salaries of repair personnel, where one person is needed for every 1,000 machine-hours o o less (that is, 0 to 1,000 hours requires one person, 1,001 to 2,000 hours requires two people, and so on 8\. cost of direct materials used (assume no quantity discounts).) 9\. Rent on a manufacturing plant donated by the county, where the agreement calls for rent of \(\$ 100,000\) to be reduced by s1 for each direct manufacturing labor-hour worked in excess of 200,000 hours, but a minimum rental fee of \(\$ 20,000\) must be paid.

The controller of the Javier Company is preparing the budget for 2018 and needs to estimate a cost function for delivery costs. Information regarding delivery costs incurred in the prior two months are: $$\begin{array}{lcc}\text { Month } & \text { Miles Driven } & \text { Delivery costs } \\\\\hline \text { August } & 12,000 & \$ 10,000 \\\\\text { September } & 17,000 & \$ 13,000\end{array}$$ 1\. Estimate the cost function for delivery. 2\. Can the constant in the cost function be used as an estimate of fixed delivery cost per month? Explain.

What two assumptions are frequently made when estimating a cost function?

Stein Corporation wants to find an equation to estimate some of their monthly operating costs for the operating budget for 2018 . The following cost and other data were gathered for 2017 : $$\begin{array}{lcccccc} & \text { Maintenance } & \text { Machine } & \text { Health } & \text { Number of } & \text { Shipping } & \text { Units } \\\\\text { Month } & \text { costs } & \text { Hours } & \text { Insurance } & \text { Employees } & \text { costs } & \text { Shipped } \\ \hline \text { January } & \$ 4,500 & 165 & \$ 8,600 & 68 & \$ 25,776 & 7,160 \\\ \text { February } & \$ 4,452 & 120 & \$ 8,600 & 75 & \$ 29,664 & 8,240 \\ \text { March } & \$ 4,600 & 230 & \$ 8,600 & 92 & \$ 28,674 & 7,965 \\ \text { April } & \$ 4,850 & 318 & \$ 8,600 & 105 & \$ 23,058 & 6,405 \\ \text { May } & \$ 5,166 & 460 & \$ 8,600 & 89 & \$ 21,294 & 5,915 \\ \text { June } & \$ 4,760 & 280 & \$ 8,600 & 87 & \$ 33,282 & 9,245 \\ \text { July } & \$ 4,910 & 340 & \$ 8,600 & 93 & \$ 31,428 & 8,730 \\ \text { August } & \$ 4,960 & 360 & \$ 8,600 & 88 & \$ 30,294 & 8,415 \\ \text { September } & \$ 5,070 & 420 & \$ 8,600 & 95 & \$ 25,110 & 6,975 \\ \text { October } & \$ 5,250 & 495 & \$ 8,600 & 102 & \$ 25,866 & 7,185 \\ \text { November } & \$ 5,271 & 510 & \$ 8,600 & 97 & \$ 20,124 & 5,590 \\ \text { December } & \$ 4,760 & 275 & \$ 8,600 & 94 & \$ 34,596 & 9,610\end{array}$$ 1\. Which of the preceding costs is variable? Fixed? Mixed? Explain. 2\. Using the high-low method, determine the cost function for each cost. 3\. Combine the preceding information to get a monthly operating cost function for the Stein Corporation. 4\. Next month, Stein expects to use 400 machine hours, have 80 employees, and ship 9,000 units. Estimate the total operating cost for the month.

A regression equation is set up, where the dependent variable is total costs and the independent variable is production. A correlation coefficient of 0.70 implies that: a. The coefficient of determination is negative. b. The level of production explains \(49 \%\) of the variation in total costs c. There is a slightly inverse relationship between production and total costs. A correlation coefficient of 1.30 would produce a regression line with better fit to the data.

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