5.5 Cost-Volume-Profit Analysis In Planning
Cost-volume-profit (CVP) analysis
Companies use cost-volume-profit (CVP) analysis (also called break-even analysis) to determine what affects changes in their selling prices, costs, and/or volume will have on profits in the short run. A careful and accurate cost-volume-profit (CVP) analysis requires knowledge of costs and their fixed or variable behavior as volume changes.A cost-volume-profit chart is a graph that shows the relationships among sales, costs, volume, and profit. Look at illustration below. The illustration shows a cost-volume-profit chart for Video Productions, a company that produces DVDs. Each DVD sells for $20. The variable cost per DVD is $12, and the fixed costs per month are $ 40,000.
The total cost line represents the fixed costs of $40,000 plus $12 per unit. Thus, if Video Productions produces and sells 6,000 DVDs, the company's total costs are $112,000, made up of $40,000 fixed costs and $ 72,000 total variable costs ($ 72,000 = $ 12 per unit X 6,000 units produced and sold).The total revenue line shows how revenue increases as volume increases. Total revenue is $ 120,000 for sales of 6,000 tapes ($ 20 per unit X 6,000 units sold). In the chart, we demonstrate the effect of volume on revenue, costs, and net income, for a particular price, variable cost per unit, and fixed cost per period.
At each volume, one can estimate the company's profit or loss. For example, at a volume of 6,000 units, the profit is $8,000. We can find the net income either by constructing an income statement or using the profit equation. The contribution margin income statement gives the following results for a volume of 6,000 units:
| Revenue | $120,000 |
| Less: variable costs | 72,000 |
| Contribution margin | $ 48,000 |
| Less: Fixed costs | 40,000 |
| Net income | $ 8,000 |
| Contribution Margin = | Sales - Variable Cost |
You can also calculate a contribution margin ratio by using the following formula:
| Contribution Margin RATIO = | Sales - Variable Cost |
| Sales |
Profit equation The profit equation is just like the income statement, except it presents the analysis in a slightly different form. According to the profit equation:
Net income = Revenue - Total variable costs - Fixed costs
For Video Productions, the profit equation looks like this:
Net income = $ 120,000 − $ 72,000 − $ 40,000
Net income = $ 8,000
The CVP chart above shows cost data for Video Productions in a relevant range of output from 500 to 10,000 units. Recall the relevant range is the range of production or sales volume over which the basic cost behavior assumptions hold true. For volumes outside these ranges, costs behave differently and alter the assumed relationships. For example, if Video Productions produced and sold more than 10,000 units per month, it might be necessary to increase plant capacity (thus incurring additional fixed costs) or to work extra shifts (thus incurring overtime charges and other inefficiencies). In either case, the assumed cost relationships would no longer be valid.
The contribution margin income statement is used quite frequently since it separates fixed and variable costs to allow a company to see what it can directly change and what it cannot change. This video will give you an example of the why and how to do a contribution margin income statement.
Net income = Revenue - Total variable costs - Fixed costs
For Video Productions, the profit equation looks like this:
Net income = $ 120,000 − $ 72,000 − $ 40,000
Net income = $ 8,000
The CVP chart above shows cost data for Video Productions in a relevant range of output from 500 to 10,000 units. Recall the relevant range is the range of production or sales volume over which the basic cost behavior assumptions hold true. For volumes outside these ranges, costs behave differently and alter the assumed relationships. For example, if Video Productions produced and sold more than 10,000 units per month, it might be necessary to increase plant capacity (thus incurring additional fixed costs) or to work extra shifts (thus incurring overtime charges and other inefficiencies). In either case, the assumed cost relationships would no longer be valid.
The contribution margin income statement is used quite frequently since it separates fixed and variable costs to allow a company to see what it can directly change and what it cannot change. This video will give you an example of the why and how to do a contribution margin income statement.
Licenses and Attributions
More Study Resources for You
Show More