Profit-Volume (PV) Chart

A profit-volume chart is a graph that plots the relationship between a business's sales volume and its profit or loss at that volume level. The horizontal axis represents units sold or revenue. The vertical axis represents profit above zero or loss below zero. A single diagonal line runs from the lower left, where the business is losing money at zero sales, upward through the breakeven point, and into the profit zone as volume increases. The chart makes the breakeven point and margin of safety immediately visible without any calculation.

Think of it as a speedometer for profitability: you can instantly see whether you are in the red, at breakeven, or generating profit, and by how much.

The Key Elements of the Chart

Three reference points define the chart and everything it tells you.

• The starting point: At zero volume, the business still bears its fixed costs, producing a loss equal to the total fixed cost. If fixed costs are $200,000 per year, the profit line begins at negative $200,000 on the vertical axis.
• The breakeven point: This is where the profit line crosses the horizontal axis at zero profit. At this sales volume, total revenue exactly equals total cost. The formula is: fixed costs divided by contribution margin per unit (selling price per unit minus variable cost per unit).
• The slope: The angle of the profit line represents the contribution margin ratio, the percentage of each additional dollar of revenue that flows through to profit after covering variable costs. A steeper slope means more contribution margin per unit, which is better.

Profit-Volume Chart vs. Cost-Volume-Profit Chart

A cost-volume-profit chart plots three separate lines: a total revenue line, a total cost line, and sometimes a variable cost line. The breakeven point is where the total revenue and total cost lines intersect. The chart shows why breakeven occurs by displaying both cost and revenue simultaneously.

The profit-volume chart simplifies this by combining all cost information into a single profit line. The result is cleaner and more direct, making it easier to read at a glance. Managers typically use the profit-volume chart for quick communication and the cost-volume-profit chart for deeper analysis of cost structure.

Reading the Margin of Safety

The margin of safety is the distance between your actual or projected sales volume and the breakeven point. On a profit-volume chart, it is the horizontal gap between the breakeven point and your current position on the profit line. A narrow margin of safety means a small drop in sales would push you into a loss. A wide margin of safety means you have substantial cushion before losses begin.

Expressed as a percentage, the margin of safety is the ratio of that gap to your actual volume. If breakeven is 10,000 units and you are selling 14,000, your margin of safety is 28.6%. A 30% or higher margin of safety is generally considered healthy for a manufacturing business.

Multiple Products on the Same Chart

When a business sells multiple products with different contribution margins, a single profit-volume chart can still work by using a blended contribution margin based on the expected sales mix. But changes in the product mix shift the slope of the profit line even if total revenue stays constant. Selling more of a low-margin product reduces the slope and raises the breakeven point. Selling more of a high-margin product steepens the slope and lowers it.

This is why product mix analysis sits alongside profit-volume analysis in any serious contribution margin review.

Sources

• https://corporatefinanceinstitute.com/resources/accounting/profit-volume-chart/
• https://www.accountingtools.com/articles/what-is-a-profit-volume-chart.html