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Chapter 3 Cost Volume Profit Relationships

Sales Mix

Break Even Analysis

Target Profit Analysis

Profit = Unit CM x Q - Fixed Expense

The level of sales at which the company's profit margin is equal to zero.

The Margin of Safety

Margin of Safety in dollars = Total Budgeted (or actual) Sales - Break Even Sales

Margin of Safety percentage = Margin of Safety in dollars divided by Total Budgeted (or actual) Sales in dollars

Contribution Margin (CM) Ratio

Cost Volume Profit Analysis (CVP)

Preparing the CVP Graph

Cost Structure and Profit Stability

Contribution Margin divided by Sales

Determine Advantages and Disadvantages by examining the Net Operating Income vs. CM ratio and Margin of Safety percentage

Learn to create a chart; then you may decide to generate hypothetical data for the assignment due at the end of the module...

Applying CVP Concepts

Operating Leverage

Estimates how profits are affected by:

  • Selling Prices
  • Sales Volume
  • Unit Variable Costs
  • Total Fixed Costs
  • Mix of Products Sold

Variable Expense Ratio =

Variable Expenses divided by Sales

Contribution Margin divided by Net Operating Income

Contribution Margin

(PxQ-VxQ) - Fixed Expenses =

The amount remaining from sales revenue after variable expenses have been deducted.

If a company has a single product, the equation can be represented this way:

Sales = Selling Price Per Unit (P) x Quantity Sold (Q)

Variable Expenses = Variable Expenses per Unit (V) x Quantity Sold (Q)

Profit = (PxQ -VxQ) - Fixed Expenses

CVP Equation:

Profit =

(Sales - Variable Expenses) - Fixed Expenses

Profit represents Net Operating Income

Dr. Chris Wright, Upper Iowa University

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