The study of how costs behave and how to use cost information to make business decisions
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Chapter Outline
Learning Objectives
Learning Objective 1
Explain variable, fixed, and mixed costs and the relevant range
Learning Objective 2
Apply the high-low method to determine the components of mixed costs
Learning Objective 3
Prepare a contribution margin income statement to determine contribution margin
Learning Objective 4
Compute the break-even point using three approaches
Learning Objective 5
Determine the sales required to earn target net income and determine margin of safety
Cost Behavior Analysis
The study of how specific costs respond to changes in the level of business activity
Cost Behavior Analysis helps management plan operations and decide between alternative courses of action
Cost Behavior Analysis applies to all types of businesses and entities
Activity index
Identifies the activity that causes changes in the behavior of costs and allows costs to be classified as variable, fixed, or mixed
Variable costs
Costs that vary in total directly and proportionately with changes in the activity level
Activity levels expressed in terms of
Sales dollars (in a retail company)
Miles driven (in a trucking company)
Room occupancy (in a hotel)
Dance classes taught (by a dance studio)
Many companies use more than one measurement base for activity levels
Changes in the level or volume of activity should be correlated with changes in costs
Relevant range
The range over which the company expects to operate during a year
Within the relevant range, a straight-line relationship usually exists for both variable costs and fixed costs
Outside the relevant range, the relationship between costs and activity level is often curvilinear
Mixed costs
Costs that have both a variable element and a fixed element
High-Low Method
1. Uses the total costs incurred at the high and the low levels of activity to classify mixed costs into fixed and variable components
2. Difference in costs between high and low levels represents variable costs
3. Total fixed cost is determined by subtracting the total variable cost at either the high or the low activity level from the total cost at that activity level
Maintenance costs for Metro Transit Company are $8,000 per month of fixed costs plus $1.10 per mile of variable costs
Mixed costs consist of a variable cost element and a fixed cost element
Mixed costs
Consist of a variable cost element and a fixed cost element
High-Low Method
Used to separate mixed costs into variable and fixed cost elements
Do It! 2: High-Low Method
1. Compute the variable- and fixed-cost elements
2. Write the cost formula
3. Estimate the total cost if the company produces 8,000 units
Cost-Volume-Profit (CVP) Analysis
The study of the effects of changes in costs and volume on a company's profits
Important in profit planning
Critical factor in management decisions such as setting selling prices, determining product mix, and maximizing use of production facilities
Assumptions in CVP Analysis
Behavior of both costs and revenues is linear throughout the relevant range of the activity index
Costs can be classified accurately as either variable or fixed
Changes in activity are the only factors that affect costs
All units produced are sold
When more than one type of product is sold, the sales mix will remain constant
Contribution Margin
The amount of revenue remaining after deducting variable costs
CVP Income Statement
1. Classifies costs and expenses as fixed or variable
2. Reports contribution margin in the body of the statement
3. Reports the same net income as a traditional income statement
Unit Contribution Margin
Selling price per unit less variable cost per unit
Contribution Margin Ratio
Shows the percentage of each sales dollar available to apply toward fixed costs and profits
Do It! 3: CVP Income Statement
Prepare a CVP income statement providing per unit values and total values
Break-Even Analysis
The process of finding the break-even point level of activity at which total revenues equal total costs (both fixed and variable)
Can be computed or derived from a mathematical equation, by using contribution margin, or from a CVP graph
Expressed either in sales units or in sales dollars
Mathematical Equation for Break-Even Point
Compute the break-even point in units
Contribution Margin Technique for Break-Even Point
1. Compute the break-even point in units using contribution margin per unit
2. Compute the break-even point in dollars using contribution margin ratio
CVP Graph
Graphical presentation of break-even analysis
Do It! 4: Break-Even Analysis
Compute the break-even point in units using a mathematical equation and contribution margin per unit
Target Net Income
The level of sales necessary to achieve a target income
Margin of Safety
The difference between actual or expected sales and the break-even sales level