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SALES MIX AND ITS EFFECTS ON CVP ANALYSIS:

Sales mix is the proportions of different products and services that comprise the total sales of a
company. In most cases, each product or service that a company provides has a different profit, so
changes in sales mix (even if sales levels remain the same) usually result in differing amounts of profit.
Thus, if a company introduces a new product that has a low profit, and which it sells aggressively, it is
quite possible that profits will decline even as sales increase. Conversely, if a company elects to drop a
low-profit product line and instead push sales of a higher-profit product line, total profits can actually
increase even as total sales decline.

One of the best ways for a company to improve its profits in a low-growth market is to use its marketing
and sales activities to alter the sales mix in favor of those products having the largest amount of profit
associated with them.

 Sales managers have to be aware of sales mix when they devise commission plans for the sales staff,
since the intent should be to incentivize the sales staff to sell high-profit items. Otherwise, a poorly-
constructed commission plan could push the sales staff in the direction of selling the wrong products,
which alters the sales mix and results in lower profits.

 A cost accounting variance called "sales mix variance" is used to measure the difference in unit volumes
in the actual sales mix from the planned sales mix. Follow these steps to calculate it at the individual
product level:

1. Subtract budgeted unit volume from actual unit volume and multiply by the standard contribution
margin

2. Do the same for each of the products sold

3. Aggregate this information to arrive at the sales mix variance for the company

The formula is:

(Actual unit sales - Budgeted unit sales) x Budgeted contribution margin

CVP analysis is: the study of the effects of changes in costs and volume on a company’s profit

CVP analysis is important to profit planning

CVP analysis is critical in management decisions such as: determining product mix, maximizing use of
production facilities, and setting selling prices

Because CVP is so important, management often wants the information reported in a special format
income statement.

The CVP income statement is for internal use only, classifies costs and expenses as fixed or variable,
reports a contribution margin in the body of the statement.
Sales Mix and CVP Analysis:

If a company sells multiple products, break even analysis is somewhat more complex than discussed in
the topic breakeven point calculation. The reason is that the different products will have different selling
prices, different costs, and different contribution margins. Consequently, the breakeven point will
depend on the mix in which the various products are sold.

Example:1

                                             AB Company
                           Product A                    Product B                       Total
Sales                  $20,000   100%               80,000    100%         100,000          100%
Less Variable expenses 15,000     75%               40,000     50%         55,000           55%
                        -------   -----              ------    -----        ------            ----
Contribution margin           5,000       25%       40,000       50%       45,000             45%
                            =====       =====       =====      =====
Less fixed expenses                                       27,000
                                                          -------
Net operating income                                      18,000
                                                         =====
                   Computation / Calculation of break even point:

                           Fixed expenses / Overall contribution margin

                                              27,000 / 0.45

                                                 $60,000

$60,000 sales represent the breakeven point for the company as long as the sales mix does not change.
If the sales mix changes, then the breakeven point will also change.
Example:2
                                   AB Company
                             Product A           Product B               Total
Sales                    80,000     100%     20,000     100%    100,000      100%
Less variable expenses   60,000     75%      10,000      50%      70,000      70%
                          -------    -----    ------     -----     ------     -----
Contribution margin      20,000     25%      10,000      50%      30,000      30%
                        ====== ====== ====== ======                        ======
Fixed expenses                                                    27,000
                                                                   ------
Net operating income                                              3,000
                                                               ======
                   Computation / Calculation of break even point:

                          Fixed expenses / Overall contribution margin

                                            $27,000 / 0.3

                                                $90,000

Although sales have remained unchanged at $100,000, the sales mix is exactly the reverse of what it was
in example1, with the bulk of sales now coming from the less profitable product A. Notice that this
change in the sales mix has caused both the overall contribution margin and total profits to drop
sharply. The overall contribution margin ratio (CM ratio) has dropped from 45% to 30% and net
operating income has dropped from $18,000 to $3,000. The company's break even point is no longer
$60,000 in sales. Since the company is now realizing less contribution margin per dollar of sales, it takes
more sales to cover the same amount of fixed costs. Thus the break even point has increased from
$60,000 to $90,000 in sales per year.
Weighted Average Contribution Margin

The weighted average contribution margin is the average amount that a group of products or services
contribute to paying down the fixed costs of a business. The measurement is compiled by accumulating
the revenue for all items being measured, subtracting from this aggregate revenue figure the total
amount of all variable expenses related to the items in the measurement group, and dividing by the
number of units sold.

For the purposes of this calculation, variable expenses are those that vary directly with sales. Thus, an
expense is only incurred if a sale is generated. Examples of these variable expenses are:

■Direct materials

■Commissions

■Piece rate wages

■Freight out

Thus, the calculation of the weighted average contribution margin is:

(Aggregate sales - Aggregate variable expenses) / Number of units sold

 For example: ABC International has two product lines, each of which is responsible for 50% of sales.
The contribution from Line A is $100,000 and the contribution from Line B is $50,000. In aggregate, ABC
sold 15,000 units. This means that the weighted average contribution margin for the entire business is
$10/unit (calculated as $150,000 total contribution / 15,000 units).

The weighted average contribution margin is useful for calculating the number of units that a business
must sell in order to cover its fixed expenses and at least break even, if not earn a profit. This analysis is
known as cost-volume-profit analysis.

To continue with the example, ABC International has calculated that it generates a contribution margin
of $10 per unit, based on current sales of 15,000 units. However, the business also has $200,000 of fixed
costs, so it is currently losing $50,000 per period. ABC can use the weighted average contribution margin
to calculate how many units it must sell in order to break even. Thus, fixed costs of $200,000 divided by
a contribution margin of $10 per unit results in a requirement of 20,000 in unit sales in order to break
even.

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Sales mix break

  • 1. SALES MIX AND ITS EFFECTS ON CVP ANALYSIS: Sales mix is the proportions of different products and services that comprise the total sales of a company. In most cases, each product or service that a company provides has a different profit, so changes in sales mix (even if sales levels remain the same) usually result in differing amounts of profit. Thus, if a company introduces a new product that has a low profit, and which it sells aggressively, it is quite possible that profits will decline even as sales increase. Conversely, if a company elects to drop a low-profit product line and instead push sales of a higher-profit product line, total profits can actually increase even as total sales decline. One of the best ways for a company to improve its profits in a low-growth market is to use its marketing and sales activities to alter the sales mix in favor of those products having the largest amount of profit associated with them. Sales managers have to be aware of sales mix when they devise commission plans for the sales staff, since the intent should be to incentivize the sales staff to sell high-profit items. Otherwise, a poorly- constructed commission plan could push the sales staff in the direction of selling the wrong products, which alters the sales mix and results in lower profits. A cost accounting variance called "sales mix variance" is used to measure the difference in unit volumes in the actual sales mix from the planned sales mix. Follow these steps to calculate it at the individual product level: 1. Subtract budgeted unit volume from actual unit volume and multiply by the standard contribution margin 2. Do the same for each of the products sold 3. Aggregate this information to arrive at the sales mix variance for the company The formula is: (Actual unit sales - Budgeted unit sales) x Budgeted contribution margin CVP analysis is: the study of the effects of changes in costs and volume on a company’s profit CVP analysis is important to profit planning CVP analysis is critical in management decisions such as: determining product mix, maximizing use of production facilities, and setting selling prices Because CVP is so important, management often wants the information reported in a special format income statement. The CVP income statement is for internal use only, classifies costs and expenses as fixed or variable, reports a contribution margin in the body of the statement.
  • 2. Sales Mix and CVP Analysis: If a company sells multiple products, break even analysis is somewhat more complex than discussed in the topic breakeven point calculation. The reason is that the different products will have different selling prices, different costs, and different contribution margins. Consequently, the breakeven point will depend on the mix in which the various products are sold. Example:1 AB Company Product A Product B Total Sales $20,000 100% 80,000 100% 100,000 100% Less Variable expenses 15,000 75% 40,000 50% 55,000 55% ------- ----- ------ ----- ------ ---- Contribution margin 5,000 25% 40,000 50% 45,000 45% ===== ===== ===== ===== Less fixed expenses 27,000 ------- Net operating income 18,000 ===== Computation / Calculation of break even point: Fixed expenses / Overall contribution margin 27,000 / 0.45 $60,000 $60,000 sales represent the breakeven point for the company as long as the sales mix does not change. If the sales mix changes, then the breakeven point will also change.
  • 3. Example:2 AB Company Product A Product B Total Sales 80,000 100% 20,000 100% 100,000 100% Less variable expenses 60,000 75% 10,000 50% 70,000 70% ------- ----- ------ ----- ------ ----- Contribution margin 20,000 25% 10,000 50% 30,000 30% ====== ====== ====== ====== ====== Fixed expenses 27,000 ------ Net operating income 3,000 ====== Computation / Calculation of break even point: Fixed expenses / Overall contribution margin $27,000 / 0.3 $90,000 Although sales have remained unchanged at $100,000, the sales mix is exactly the reverse of what it was in example1, with the bulk of sales now coming from the less profitable product A. Notice that this change in the sales mix has caused both the overall contribution margin and total profits to drop sharply. The overall contribution margin ratio (CM ratio) has dropped from 45% to 30% and net operating income has dropped from $18,000 to $3,000. The company's break even point is no longer $60,000 in sales. Since the company is now realizing less contribution margin per dollar of sales, it takes more sales to cover the same amount of fixed costs. Thus the break even point has increased from $60,000 to $90,000 in sales per year.
  • 4. Weighted Average Contribution Margin The weighted average contribution margin is the average amount that a group of products or services contribute to paying down the fixed costs of a business. The measurement is compiled by accumulating the revenue for all items being measured, subtracting from this aggregate revenue figure the total amount of all variable expenses related to the items in the measurement group, and dividing by the number of units sold. For the purposes of this calculation, variable expenses are those that vary directly with sales. Thus, an expense is only incurred if a sale is generated. Examples of these variable expenses are: ■Direct materials ■Commissions ■Piece rate wages ■Freight out Thus, the calculation of the weighted average contribution margin is: (Aggregate sales - Aggregate variable expenses) / Number of units sold For example: ABC International has two product lines, each of which is responsible for 50% of sales. The contribution from Line A is $100,000 and the contribution from Line B is $50,000. In aggregate, ABC sold 15,000 units. This means that the weighted average contribution margin for the entire business is $10/unit (calculated as $150,000 total contribution / 15,000 units). The weighted average contribution margin is useful for calculating the number of units that a business must sell in order to cover its fixed expenses and at least break even, if not earn a profit. This analysis is known as cost-volume-profit analysis. To continue with the example, ABC International has calculated that it generates a contribution margin of $10 per unit, based on current sales of 15,000 units. However, the business also has $200,000 of fixed costs, so it is currently losing $50,000 per period. ABC can use the weighted average contribution margin to calculate how many units it must sell in order to break even. Thus, fixed costs of $200,000 divided by a contribution margin of $10 per unit results in a requirement of 20,000 in unit sales in order to break even.