Chapter 5: Cost-Volume-Profit Relationships Flashcards
What is the contribution margin (CM)
Sales - variable costs
Contribution format in both equation form
Profit = Sales - Variable expenses - Fixed expenses
Profit = (PQ - VQ) - Fixed expenses
P = price per unit
Q = quantity sold
V = variable cost per unit
Contribution format in unit CM equation form
(P-V)*Q - Fixed expenses = Profit
P = price per unit
V = Variable cost per unit
Q = Quantity
Price per unit - Variable cost per unit
Contribution margin per unit
Contribution Margin Ration (CM Ratio)
CM/Sales
CM Ratio per unit
CM per unit/selling price
Variable expense ratio
Variable expenses/sales
The result of CM ratio’s mathematical relation to the variable expense ratio
CM ratio = 1 - variable expense ratio
Increase in Sales Volume using CM ratio
(CM ratio * Sales) - Fixed expenses = Increased Profit
Margin of Safety in dollars
Total Sales - Break Even Sales
Margin of Safety Percentage
Margin of Safety in dollars / Actual Sales
Margin of Safety in Units
Margin of Safety in dollars / Price per Unit
Total Sales of units - Break Even Sales of units
Advantages and disadvantages of high fixed cost structures
Income will be higher in good years because of the lower variable cost, and income will be lower in bad years because of the unchanging high fixed cost in comparison to a low fixed-cost structure
Advantages and disadvantages of low fixed cost structures
Income is more stable across good and bad years because of the high variable cost in comparison to a high fixed cost structure
Degree of Operating Leverage
CM/Net Operating Income
Using operating leverage, how does a change in the volume of sales effect profit
Percent increase in sales * degree of operating leverage = percent increase in profit
Dollar sales to break even on Mixed Sales
Fixed expenses / CM ratio
Mixed Sales
Mixed sales are when a company’s total sales is a mix of more than one product
Unit Sales to attain target profit
= (Target Profit + Fixed Expenses)/Unit CM
Dollar Sales to attain target profit
= (Target Profit + Fixed Expenses)/CM Ratio