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Cost Behavior
describes how costs change (react) to changes in the volume of activity
Three Classifications of Cost Behaviors
Variable, Fixed, Mixed
Variable Costs
PER UNIT are constant so they do not change when the volume of activity changes ex. direct materials, direct labor
Fixed Costs
IN TOTAL are constant. As volume of activity increases, fixed costs per unit decreases) ex. depreciation, rent, and advertising
Mixed Costs
contain both a variable and fixed element ex. utilities and overhead
Cost Behavior Assumptions
1. Cost Behaviors (variable, fixed, mixed) are assumed to exist over a relevant range
2. Cost Behaviors are assumed to be linear within the relevant range, plot as a straight line
3. A mixed cost does not have a constant element
Relevant Range
range of activity within which the assumptions made about cost behaviors by managers are valid
What do we do with Mixed Costs as they do not have a constant component?
High-Low Method
High-Low Method
method used to separate mixed costs into its variable and fixed components
High-Low Method Steps
1. Choose 2 data points - the high and the low activity level
2. Calculate the variable cost per unit
3. Calculate the total fixed cost
Variable Cost per Unit
= change in cost / change in activity
Contribution Income Statement
Sales Revenue - Variable Costs = Contribution Margin - Fixed Costs = Net Income
Contribution Margin
Money used to cover/pay fixed costs and contribute towards a profit
Cost-Volume-Profit Analysis (CVP)
helps mangers understand the relationships among cost, volume, and profit by focusing on the following interactions: price of products, volume or level of activity, per unit variable costs, total fixed costs
CVP Analysis Decisions
1. Deciding what products or services to offer
2. Determining what pricing policy to follow
3. Choosing a marketing strategy to employ
4. Deciding what basic cost structure to use
4 Basic Elements of CVP Analysis
1. Break-Even Calculations
2. Target Profit Analysis
3. Margin of Safety
4. Operating Leverage
Total Contribution Margin
=Sales Revenue - Variable Costs
Contribution Margin per Unit
= Selling Price per Unit - Variable Costs per Unit
Contribution Margin Ratio
=Contribution Margin/Sales Revenue
=Contribution Margin per Unit / Selling Price per Unit
Break-Even Point
No profit is earned and no loss is incurred, gives managers a minimum target revenue
Sales = Variable Costs + Fixed Costs
Net Income = 0
Break-Even Point in units vs. Break-Even Point in Sales Dollars
in units represents the number of units that must be sold to break-even vs. in sales dollars represents the amount of revenue that must be generated to break-even
Variable Cost Ratio
= Variable Costs / Sales Revenue
= Variable Costs per Unit / Selling Price per Unit
Margin of Safety
A measure of firm riskiness. It measures the amount sales can fall before losses occur. The higher the margin of safety, the lower the risk of reporting losses
Margin of Safety Equation
= Actual Sales Revenue - Break-Even Sales Revenue
Operating Leverage
A measure of how sensitive net income is to a percentage change in sales, tells us the percentage change in net income for every 1% change in sales
Degree of Operating Leverage
= Contribution Margin / Net Income
Sales Mix
the relative combination of products being sold by a firm ex. if ABC company sells 70,00 units of Product A and 30,000 units of Product B, the sales mix would be 7:3
always reduce the sales mix down to the smallest possible numbers for ease of calculations
Package Contribution Margin per Unit
Allows us to convert a multiple-product problem into a single-product CVP format
How to Calculate:
For each product --> product's contribution margin per unit x product's sales mix number
Then, add all these together
Tactical Decision Making
It consists of choosing among alternatives with an immediate or limited end in view that tend to be short-run in nature. The decision-making consists of comparing a handful of alternatives by analyzing the costs of each alternative and then the "least-cost" alternative is chosen.
Relevant Cost
a cost that differs between alternatives and they should be the only costs considered in deciding which alternative to pick
Avoidable Costs
ALWAYS RELEVANT
a cost that can be eliminated, either in whole or in part, by choosing one alternative over another
ex. direct materials, direct labor, all variable costs, some fixed costs (when specified)
Unavoidable Costs
NEVER RELEVANT
a cost that exists under all decision alternatives
ex. some fixed costs
Allocated Costs
NEVER RELEVANT
a cost that can not be directly linked to a product or activity. It is therefore assigned to the product or activity using some sort of arithmetic process
ex. rent & administrative salaries
Sunk Costs
NEVER RELEVANT
a cost that has been incurred and can not be recovered or "un-incurred" by a future action
ex. the original cost of a building is a sunk cost when you are trying to decide whether or not to sell the building years later
Opportunity Costs
ALWAYS RELEVANT
a benefit given up by choosing one alternative over another
Examples of Tactical Decisions
- Make or Buy
- Keep or Drop
- Special Orders
- Sell or Process Further
- Product Mix
Make or Buy Decision
a decision concerning whether an item should be produced internally or purchased from an outside supplier
Decision Rule:
Avoidable Costs + Opportunity Costs > Outside Purchase Price = BUY
Avoidable Costs + Opportunity Costs < Outside Purchase Price = MAKE
Keep or Drop Decision
the company must decide whether a segment of a business should be kept or eliminated
Decision Rule:
Avoidable Fixed Costs + Opportunity Costs > Lost Contribution Margin = DROP
Avoidable Fixed Costs + Opportunity Costs < Lost Contribution Margin = KEEP
Special Order Decision
one-time orders requested at a lower selling price that are not part of a company's regular sales
Decision Rule:
Actual Selling Price of Special Order > Minimum Acceptable Selling Price of Special Order = ACCEPT ORDER
Actual Selling Price of Special Order < Minimum Acceptable Selling Price of Special Order = REJECT ORDER
Minimum Acceptable Selling Price of Special Order
= Variable Costs per Unit of Special Order + Contribution Margin Lost From "Given Up" Regular Sales
Contribution Margin Lost From "Given Up" Regular Sales
= Contribution Margin per Unit of Regular Sales x Units of Regular Sales Given Up / Units in the special order
Sell or Process Further Decision
A decision as to whether a joint product should be sold at the split-off point or sold after further processing
Decision Rule:
Process Further only if
(Sales value from further processing - additional processing costs) > sales value at the split-off point
Joint Products
two or more products produced from the same raw material input
Split-Off Point
the point in the manufacturing process where each joint product can be recognized as a separate product
Joint Costs
The costs incurred up to the split-off point. These costs are not relevant in the decision making process because they are sunk costs and cannot be recovered.
Product Mix Decision
the company should produce those products that have the highest contribution margin per unit of scarce resource
Contribution Margin per Unit of Scarce Resource
= Contribution Margin per Unit / Scarce Resource Needs per Unit
Product Mix Decision Steps
1. Determine the contribution margin per unit for each product
2. Determine the contribution margin per unit of scarce resource
3. Rank the products in terms of desirability, from the highest to the lowest
4. Determine Optimal Product Mix starting by producing the most of rank #1 and so on
What happens when a company is faced with more than one resource constraint?
use linear programming to determine the optimal mix of products
Linear Programming Steps
1. Define your decision variables (x, y, etc.)
2. Determine the objective function (will always be to MAX contribution margin)
3. Determine the resource constraints
4. Solve the linear program to determine the optimal product mix (algebra and graphing)
Economic Indifference
= avoidable costs + opportunity costs = outside purchase price