What is the formula for break-even in dollars for multiple products?

What is the formula for break-even in dollars for multiple products?

• A. Break-even dollars = fixed costs / weighted-average contribution margin ratio.
• B. Break-even dollars = fixed costs divided by the average contribution margin ratio across all products.
• C. Break-even dollars = fixed costs plus total variable costs.
• D. Break-even dollars equals total revenue minus total costs.

Answer: (A)

When dealing with multiple products, you determine break-even by looking at how much contribution margin your total sales generate, not by a single product. Each product has a contribution margin ratio (CM ratio) = (selling price − variable costs) / selling price. For a mix of products, you must compute the weighted-average CM ratio based on how much of the total sales each product represents. Once you have that overall CM ratio, break-even in dollars is fixed costs divided by that weighted-average CM ratio. This reflects the point at which the total contribution margins from the sales of all products cover the fixed costs. Using a simple average of CM ratios ignores the actual sales mix and can give the wrong break-even point. The other formulations either don’t tie to the margin that actually covers fixed costs or describe profit scenarios rather than the break-even condition.

When dealing with multiple products, you determine break-even by looking at how much contribution margin your total sales generate, not by a single product. Each product has a contribution margin ratio (CM ratio) = (selling price − variable costs) / selling price. For a mix of products, you must compute the weighted-average CM ratio based on how much of the total sales each product represents. Once you have that overall CM ratio, break-even in dollars is fixed costs divided by that weighted-average CM ratio. This reflects the point at which the total contribution margins from the sales of all products cover the fixed costs.

Using a simple average of CM ratios ignores the actual sales mix and can give the wrong break-even point. The other formulations either don’t tie to the margin that actually covers fixed costs or describe profit scenarios rather than the break-even condition.