CONCEPTUAL
Cost behavior is described in
terms of how its amount changes in relation to changes in volume of
activity within a relevant range. Fixed costs remain constant to changes
in volume. Total variable costs change in direct proportion
to volume changes. Mixed costs display the effects of
both fixed and variable components. Step-wise costs remain constant
over a small volume range, then change by a lump sum and remain
constant over another volume range, and so on. Curvilinear
costs change in a nonlinear relation to volume changes.
Cost-volume-profit analysis
can be used to predict what can happen under alternative strategies
concerning sales volume, selling prices, variable costs,
or fixed costs. Applications include “what-if” analysis,
computing sales for a target income, and break-even analysis.
ANALYTICAL
Contribution margin per unit is a
product’s selling price less its total variable costs. Contribution
margin ratio is a product’s contribution margin per unit divided by its selling
price. Unit contribution margin is the amount received from each sale that
contributes to fixed costs and income. The contribution margin ratio reveals what portion of each
sales dollar is available as contribution to fixed costs and income.
The extent, or relative size,
of fixed costs in a company’s total cost structure is known as operating leverage. One
tool useful in assessing the effect of changes in sales on income is the
degree of operating leverage, or DOL. DOL is the ratio of the
contribution margin divided by pretax income. This ratio can be used to determine the expected percent change in income
given a percent change in sales.
PROCEDURAL
Three different methods used to estimate costs
are the scatter diagram, the high-low method, and least-squares
regression. All three methods use past data to estimate costs. Cost estimates from
a scatter diagram are based on a visual fit of the cost line. Estimates
from the high-low method are based only on costs corresponding to the
lowest and highest sales. The least-squares regression method is a statistical technique and uses all data points.
A company’s break-even point
for a period is the sales volume at which total revenues equal total costs. To compute
a break-even point in terms of sales units, we divide total fixed costs by
the contribution margin per unit. To compute a break-even point in
terms of sales dollars, divide total fixed costs by the contribution margin ratio.
The costs and sales for a
company can be graphically illustrated using a CVP chart. In this chart,
the horizontal axis represents the number of units sold and the vertical axis
represents dollars of sales or costs. Straight lines are used to depict both
costs and sales on the CVP chart.
CVP analysis can be applied
to a multiproduct company by expressing sales volume in terms of composite units.
A composite unit consists of a specific number of units of each product in
proportion to their expected sales mix. Multiproduct CVP analysis
treats this composite unit as a single product.
Guidance Answers to Decision
Maker and Decision Ethics
Sales Manager
The contribution margin per unit for the first order is $600 (60% of $1,000);
the contribution margin per unit for
the second order is $160 (20% of $800). You are likely tempted to accept the first order based on its
high contribution margin
per unit, but you must compute the total contribution margin based on the number of
units sold for each order. Total contribution
margin is $60,000 ($600 per unit × 100 units) and $80,000 ($160 per unit × 500
units) for the two orders,
respectively. The second order provides the largest return in absolute dollars and is the order you would accept.
Another factor to consider in your selection is the potential for a long-term relationship with
these customers including repeat sales and growth.
Supervisor
Your dilemma is whether to go along with the suggestions to “manage” the
numbers to make the
project look like
it will achieve sufficient profits. You should not succumb to these suggestions. Many people will
likely be affected negatively if
you manage the predicted numbers
and the project eventually is
unprofitable. Moreover, if it does fail, an investigation would likely reveal that data in the
proposal were “fixed” to make it look
good. Probably the only
benefit from managing the numbers is the short-term payoff of pleasing those
who proposed the product. One way to deal with
this dilemma is to prepare several analyses showing results under different
assumptions and then let
senior management make the decision.
Entrepreneur
You must first
compute the level of sales required to achieve the desired net income. Then you must conduct sensitivity analysis by varying
the price, sales mix, and cost estimates. Results from the sensitivity analysis
provide information you
can use to assess the possibility of reaching the target sales level. For instance, you might
have to pursue aggressive marketing
strategies to push the high-margin products, or you might have to cut prices to increase
sales and profits, or another strategy might emerge.
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