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Fixed costs
Costs that in total are constant within the relevant range as the level of the associated driver varies
Variable costs
Costs that, in total, vary in direct proportion to changes in an activity driver
Total cost of direct materials for each level of production varies, but the unit cost stays the same
Mixed costs
Costs that have both a fixed and a variable component
EX: There are 10 sales representatives, each earning
$30,000 plus receive a commission of $5 per speaker
sold that can be represented by the following equation
Resources
Economic elements that enable one to perform activities
Activity capacity
Obtained when a firm acquires the resources needed to perform an activity
Practical capacity
Activity level where the activity is performed efficiently
Unused capacity
Activity capacity that is not used completely
Flexible resources
Supplied as needed and used
Quantity of resource supplied equals the quantity demanded
No unused capacity
Committed resources
Supplied in advance of usage
A given quantity is obtained, whether or not that full amount is used
Unused capacity is possible
Step-cost function
Displays a constant level of cost for a range of output and then jumps to a higher level of cost at some point
Step-variable costs
Follow a step-cost behavior with narrow steps
Step-fixed costs
Follow a step-cost behavior with wide steps
Activity rate
Average unit cost obtained by dividing the resource expenditure by the
activity’s practical capacity
Relationship between resources supplied and resources used formulas
Activity availability = Activity output + Unused capacity
Cost of activity supplied = Cost of activity used + Cost of unused activity
Activities
Have characteristics of both flexible and committed resources
Ex: A power department acquires long-term capacity for
supplying power by investing in a building and equipment; Resources acquired in advance
It acquires fuel to produce power as needed - Resources
acquired as needed
Industrial Engineering method
Forward-looking method of determining what activities, in what amounts, are needed to complete a process
Through physical observation and analysis
Engineering studies are very precise, BUT VERY EXPENSIVE
Used for manufacturing processes
Advantage - Can be applied to new processes and designs
Account Analysis Method
Used to estimate costs by classifying accounts in the general ledger as: Fixed, Variable, Mixed
Cost Equation (straight line)
Y = F + VX
Y = Total cost (the dependent variable)
F = Fixed cost component (the intercept parameter)
V = Variable cost per unit (the slope parameter)
X = Measure of output (the independent variable)
Dependent variable
Variable whose value depends on the value of another variable
Independent variable
Variable that measures output and explains changes in the cost
Intercept parameter
Corresponds to fixed cost
Slope parameter
Corresponds to the variable cost per unit of output
High-Low Method
Takes two points (the high and the low by volume of activity NOT TOTAL COST) and determines the slope and the intercept
Slope is variable rate
Intercept is fixed cost
Advantages: Objective in nature and simple to calculate
Disadvantages: High and low points may be outliers that represent atypical cost-activity relationships
Scatterplot method
Uses a scattergraph to visually assess the relationship between cost and output
Intercept is fixed cost
Slope is a variable rate
Assesses the validity of the assumed linear relationship
Advantages: Allows vision inspection of the data and identifies nonlinearity, outliers, and shifts in the cost relationship
Disadvantages: Lacks objective criterion for choosing the best-fitting line, subjective in nature
Method of Least Squares
Difference between the predicted and actual costs
Shown by the distance from the points marked in the scattergraph to the best-fitting line
Measure of closeness is the sum of the squared deviations of the points from the line
The farther away from the line, the bigger the deviation
Hypothesis test of cost parameters
Indicates whether the parameters are different from zero
Goodness of fit
Measures the degree of association between cost and activity output
Confidence intervals
Provides a range of values for the actual cost with a prespecified degree of confidence
Coefficient of determination
Percentage of variable in the dependent variable explained by an independent variable
Standard Errors
Tell how tightly the data points cluster around the
regression line
Small standard error indicates that the regression line
more closely approximates the data
Larger standard error indicates the opposite
Multiple Regression
Used whenever least squares is used to fit an equation involving two or more independent variables
Linear equation is expanded to include the additional variable when there are two explanatory variables
Y = F + V1X1 + V2X2
X1= Number of moves
X2= Number of pounds moved
Learning curve
Shows how labor hours per unit decrease as units produced increases
Experience curve
Relates cost to increased efficiency, such that the more often a task is performed, the lower the cost is of doing it
Incremental unit=time learning curve model
Decreases by a constant percentage each time the cumulative quantity of units produced doubles
Cumulative average-time learning curve model
States that the cumulative average time per unit decreases by a constant percentage, or learning rate, each time the cumulative quantity of units produced doubles
Learning rate
Gives the percentage of time needed to make the next unit, based on the time it took to make the previous unit; expressed as a percent