3.8: Break Even Point for Multiple Products
- Page ID
- 65703
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)
( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\id}{\mathrm{id}}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\kernel}{\mathrm{null}\,}\)
\( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\)
\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\)
\( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)
\( \newcommand{\vectorA}[1]{\vec{#1}} % arrow\)
\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow\)
\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vectorC}[1]{\textbf{#1}} \)
\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)
\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)
\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
Although you are likely to use cost-volume-profit analysis for a single product, you will more frequently use it in multi-product situations. The easiest way to use cost-volume-profit analysis for a multi-product company is to use dollars of sales as the volume measure. For CVP purposes, a multi-product company must assume a given product mix or sales mix. Product (or sales) mix refers to the proportion of the company’s total sales for each type of product sold.
To illustrate the computation of the break-even point for Wonderfood, a multi-product company that makes three types of cereal, assume the following historical data (percent is a percentage of sale, for each product, take the amount / sales and multiply by 100 to get the percentage):
| Product 1 | Product 2 | Product 3 | Total | |||||
| Amount | Percent | Amount | Percent | Amount | Percent | Amount | Percent | |
| Sales | 60,000 | 100% | 30,000 | 100% | 10,000 | 100% | 100,000 | 100% |
| Less: variable costs | 40,000 | 67% | 16,000 | 53% | 4,000 | 40% | 60,000 | 60% |
| Contribution margin | 20,000 | 33% | 14,000 | 47% | 6,000 | 60% | 40,000 | 40% |
| BE in Sales Dollars = | Fixed Costs | $50,000 | = $ 125,000 |
| Contribution Margin RATIO | 0.40 |
[To check our answer: ($ 125,000 break even sales X 0.40 contribution margin ratio) – $ 50,000 fixed costs = $ 0 net income.]
Here is a video example:
A YouTube element has been excluded from this version of the text. You can view it online here: http://pb.libretexts.org/ma/?p=122
Since what we found in our example for Wonderfood is a total, we need to determine how much sales would be needed by each product to break even. To find the three product sales totals, we multiply total sales dollars by the percent of product (or sales) mix for each of the three products. The product mix for products 1, 2, and 3 is 60:30:10, respectively. That is, out of the $ 100,000 total sales, there were sales of $ 60,000 for product 1, $ 30,000 for product 2, and $ 10,000 for product 3. An easy way to calculate product or sales mix is to divide each product’s sales by total sales like in the following table:
| Sales | Sales Mix | |
| Product 1 | 60,000 | 60% (60,000 / 100,000) |
| Product 2 | 30,000 | 30% (30,000 / 100,000) |
| Product 3 | 10,000 | 10% (10,000 / 100,000) |
| Total Sales | 100,000 | 100% |
We can calculate the amount each product needs to sell by multiplying the total break even sales required x the sales mix for each product. This is calculated as:
| Sales Mix | Sales at Break even | ||
| Product 1 | 60% | $ 75,000 | (125,000 x 60%) |
| Product 2 | 30% | 37,500 | (125,000 x 30%) |
| Product 3 | 10% | 12,500 | (125,000 x 10%) |
| Total Sales | 100% | 125,000 |
Be aware! Predicting sales mix can be extremely different. If we know we need $125,000 in sales to break even but the sales mix is different from what we budgeted, the numbers will appear quite different (as you should have noticed in the video). If the sales mix is different from our estimate, the break even point will not be the same.
Contributors and Attributions
- Accounting Principles: A Business Perspective.. Authored by: James Don Edwards, University of Georgia & Roger H. Hermanson, Georgia State University.. Provided by: Endeavour International Corporation. Project: The Global Text Project.. License: CC BY: Attribution
- acct 2102 Lofty Inc multi product break even CLASS ACTIVITY . Authored by: Carol Sargent. Located at: https://youtu.be/QsNAp26mFPI. License: All Rights Reserved. License Terms: Standard YouTube License