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Cost Volume Profit Definition

See Also:
Prepare a Breakeven Analysis
Contribution Margin
How to Prepare an Investor Package
Capital Asset Pricing Model CAPM
Net Profit Margin Analysis
Cost Volume Profit Formula

Cost Volume Profit Definition

A cost volume profit definition, defined also as the CVP model, is a financial model that shows how changes in sales volume, prices, and costs will affect profits. Use the CVP analysis for planning, making projections, and for decision-making purposes. A CVP model can be used to calculate a breakeven sales volume. CVP analysis can also be used to figure out the sales volume required to reach a certain target profit.


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Cost Volume Profit Explanation

Cost volume profit, explained below, is one of the many ways to measure changes in the financial health of a company as it relates to sales. A CVP model is a simple financial model that assumes sales volume is the primary cost driver. In order to create a CVP model, you need certain data for the fiscal period in question. You need an estimate or figure for fixed costs, unit-level variable costs, and product/unit sales prices.

Cost Volume Profit Examples

For example, let’s take a movie theater in reference to a simple cost volume profit analysis. The theater has quarterly fixed costs of $30,000. These include utilities, salaries, and rent/mortgage, etc. The variable cost per movie ticket is $2. This includes the cost of paper, printing, and the custodial services, etc. The price of a movie ticket is $7.

Three variables:

1. Fixed costs of $30,000
2. Variable costs of $2
3. Sales price of $7

Now, using this data, we can calculate the breakeven point for the theater. Once you have this data, calculating the breakeven point is easy. First, compute the contribution margin per ticket. The contribution margin is the sales price minus the unit-level variable costs. Then find out how many tickets the theater must sell in order to cover its fixed costs. To do this, divide fixed costs by the contribution margin per ticket.

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cost volume profit definition

Source

Hilton, Ronald W., Michael W. Maher, Frank H. Selto. “Cost Management Strategies for Business Decision”, Mcgraw-Hill Irwin, New York, NY, 2008.

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Cost Volume Profit Formula

See Also:
Cost-Volume-Profit (CVP) Model

Cost Volume Profit Formula: Breakeven Sales Volume

Breakeven Sales Volume = Fixed Costs ÷ (Sales Price – Variable Costs)

Breakeven Sales Volume = Fixed Costs ÷ (Contribution Margin)

6,000 = $30,000 ÷ ($7 – $2)

6,000 = $30,000 ÷ ($5)

As you can see, the theater has a contribution margin of $5. That is, the theater makes five dollars per ticket sold. This contribution margin can be used to pay down the theater’s fixed costs. So we divide $30,000 of fixed costs by $5 contribution margin. This shows us that the theater must sell 6,000 tickets per quarter to break even. The cost volume profit equation shows us many important aspects of the business of the theater.

Now let’s say the theater doesn’t want to merely breakeven. They actually want to make a profit in the upcoming quarter. Selling 6,000 tickets allows them to breakeven. But how many do they need to sell in order to make a profit of, let’s say, $10,000? We can find out by using the CVP model and the CVP formula.

When performing CVP analysis in order to determine the sales volume required for a set target profit, you simply add the target profit to the fixed costs. So we have variable costs of $2, sales price of $7, and fixed costs of $30,000. And now we’re adding target profit of $10,000. Following is how we set up the CVP formula for a target profit.


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Cost Volume Profit Calculation: Target Sales Volume

Target Sales Volume = (Fixed Costs + Target Profit) ÷ (Sales Price – Variable Costs)

Target Sales Volume = (Fixed Costs + Target Profit) ÷ (Contribution Margin)

8,000 = ($30,000 + $10,000) ÷ ($7 – $2)

8,000 = ($40,000) ÷ ($5)

As you see here, the theater must sell 8,000 tickets in order to cover its fixed costs and make a profit of $10,000 in the upcoming quarter.

Of course, for illustrative purposes, this is a very simple example. Real-world examples may be more complex and have more variables. But this is a basic version of the cost-volume-profit financial model.

cost volume profit formula

cost volume profit formula

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