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Mba 205 Cost Behavior Discussion Problems

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Module 3: Cost Behavior (Variable and Fixed)

Refer to the table below to see and understand the difference between variable and fixed costs.
 

COST Per unit  In Total

varies in proportion with


Variable remains constant
the level of activity

varies inversely with the


Fixed remains constant
level of activity

The types of costs according to behavior have sub-types. 


 
VARIABLE COST
A variable cost is a cost where the total amount changes in direct proportion with the level of
activity within the relevant range. A cost driver is the one that causes the variable cost to be
incurred. Examples of this cost driver include: units produced, machine hours, miles driven and
labor hours.
The following are the two types of variable costs:
1. True variable cost- the total costs change whenever there is a change in the level of activity
2. Step variable cost- there will be a change in the cost if the change is beyond the range. Slight
changes do not affect the cost.
 
FIXED COST
A fixed cost is a cost that does not change even when there is a change in the level of activity.
Please refer to the Powerpoint presentation for the examples.
There are two types of fixed costs, namely:
1. Committed fixed costs- these are long term costs that cannot be significantly reduced in the
short-term
2. Discretionary fixed costs- these costs may be altered in the short-tern by current managerial
decisions
 MIXED COST
A mixed cost contains both variable and fixed portions. Mixed cost is depicted by the equation:
Y = a +bX

Y= The total mixed cost.

a= The total fixed cost (the vertical intercept of


the line).

b= The variable cost per unit of activity (the slope


of the line).

X= The level of activity.


SCATTERGRAPH
The scattergraph method is done by plotting the data points on a graph. Then, draw a line
through the data points with about an equal numbers of points above and below the line. Next,
use one data point to estimate the total level of activity and the total cost.
 
HIGH-LOW METHOD
High-low method is a method used to analyze mixed cost. It is used to estimate the variable and
fixed portions of the the total costs.  These are the steps to follow in using high-low method:
1. Identify the highest and lowest points.
2. Compute the variable cost per unit (or per hour) using this formula:
     Highest Cost - Lowest Cost       
Highest Activity- Lowest Activity
3. Compute the fixed cost portion by using either the highest point or lowest point. (You will
arrive at the same answer)
4. Present the cost formula.
5. Apply the cost formula.
Contribution Margin
In some management decisions, the presentation of income and expenses is modified into
contribution format. In this format, costs are classified into variable and fixed. The contribution
format of income statement is presented as follows:

Sales Pxx

Less: Variable costs xx

Equals: Contribution
Pxx
Margin

Less: Fixed Costs xx

Equals: Net Income Pxx

From this formula, we can derive the definition (and use) of the contribution margin. 
1. It is the excess amount of sales after deducting the variable costs.
2. It the the amount used to cover the fixed costs.
3. It is the amount that "contributes" to your profit. Hence, it is called contribution margin.
DISCUSSION PROBLEMS:

Contribution Format Income Statement

1. In March, Branford Corporation, a manufacturing company, reported the following financial


data:

   

Required:

Prepare an income statement in good form for March using the contribution approach. 

2. Sibrel Inc., a manufacturing company, has provided the following financial data for
September:

   

The company had no beginning or ending inventories.

Required:

a. Prepare an income statement in good form for September using the traditional approach.
b. Prepare an income statement in good form for September using the contribution approach. 
   

3. Wigley Inc. has provided the following data concerning its maintenance costs:

   

Management believes that maintenance cost is a mixed cost that depends on machine-hours.

Required:

Estimate the variable cost per machine-hour and the fixed cost per month using the high-low
method. Show your work! 

   

Variable cost = Change in cost     Change in activity


= ($37,098 - $36,612)  /  (4,833 - 4,743) = $5.40
Fixed cost element = Total cost - Variable cost element
= $36,612 - ($5.40 x 4,743) = $11,000

4. Unified Parcel, Inc., operates a local parcel delivery service. The company keeps detailed
records relating to operating costs of trucks, and has found that if a truck is driven 110,000 miles
per year the operating cost is 7.5 cents per mile. This cost increases to 8.75 cents per mile if a
truck is driven 60,000 miles per year.

Required:

Estimate the cost formula for truck operating costs using the high-low method. 

Total cost at high level of activity: 110,000 x $0.075 = $8,250


Total cost at low level of activity: 60,000 x $0.0875 = $5,250

   

Variable cost = Change in cost     Change in activity


= $3,000  /  50,000 miles = $0.06 per mile

Fixed cost element =

$8,250 - ($0.06 per mile x 110,000 miles) = $1,650

The cost formula is $1,650 per year plus $0.06 per mile.

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