Analyze Cost Behavior And Cost Drivers
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CPA Business Analysis and Reporting (BAR) › Analyze Cost Behavior And Cost Drivers
Fernwood Co. incurred $18,000 of maintenance costs at a production level of 6,000 units and $24,000 at a production level of 10,000 units. Using the high-low method, what is the variable maintenance cost per unit?
$2.40 per unit
$0.60 per unit
$1.50 per unit
$1.80 per unit
Explanation
High-low variable rate = (Highest cost - Lowest cost) / (Highest activity - Lowest activity) = ($24,000 - $18,000) / (10,000 - 6,000) = $6,000 / 4,000 = $1.50 per unit. Option A divides total high-point cost by high-point units rather than computing the difference. Option C results from dividing the cost difference by the low-point units. Option D divides the cost difference by the high-point units.
Fernwood Co. incurred $18,000 of maintenance costs at 6,000 units and $24,000 at 10,000 units. Using the high-low method with a variable rate of $1.50 per unit, what is the fixed cost component of maintenance?
$3,000
$9,000
$6,000
$15,000
Explanation
Fixed cost = Total cost - (Variable rate x Units). Using the high point: $24,000 - ($1.50 x 10,000) = $24,000 - $15,000 = $9,000. Confirmed at the low point: $18,000 - ($1.50 x 6,000) = $18,000 - $9,000 = $9,000. Option A is the difference in total costs, which equals the variable cost over the range, not the fixed component. Option B is the variable cost component at the high point. Option D results from an arithmetic error in the subtraction.
Grandview Manufacturing has a variable cost of $4.00 per machine hour and fixed costs of $13,500 per period, derived from the high-low method. What is the estimated total cost at an activity level of 7,000 machine hours?
$28,000
$44,000
$35,750
$41,500
Explanation
Total estimated cost = Fixed cost + (Variable rate x Activity) = $13,500 + ($4.00 x 7,000) = $13,500 + $28,000 = $41,500. Option B is only the variable component at 7,000 hours, omitting fixed costs. Option C results from applying an incorrect rate to the activity level. Option D adds an incorrect fixed cost figure to the variable component.
Meridian Products has total fixed costs of $150,000 and a contribution margin ratio of 40%. What is the break-even point in total sales dollars?
$600,000
$60,000
$375,000
$210,000
Explanation
Break-even sales = Fixed costs / CM ratio = $150,000 / 0.40 = $375,000. At this sales level, contribution margin exactly covers fixed costs and operating income is zero. Option B adds fixed costs to themselves rather than dividing. Option C multiplies fixed costs by the CM ratio instead of dividing. Option D divides fixed costs by an incorrect denominator.
Pinewood Corp. sells a product for $80 per unit with variable costs of $52 per unit. Monthly fixed costs total $112,000. How many units must Pinewood sell each month to break even?
1,400 units
5,600 units
4,000 units
2,154 units
Explanation
Contribution margin per unit = $80 - $52 = $28. Break-even units = Fixed costs / CM per unit = $112,000 / $28 = 4,000 units. Option A divides fixed costs by the selling price rather than the contribution margin. Option C divides fixed costs by the variable cost per unit. Option D divides fixed costs by the variable cost ratio applied to selling price rather than the per-unit CM.
Two companies have identical total revenues and total costs. Company A has high fixed costs and low variable costs per unit. Company B has low fixed costs and high variable costs per unit. Which of the following statements about operating leverage is correct?
Company B has higher operating leverage because its variable costs create more sensitivity to volume changes
Company A has higher operating leverage because its higher contribution margin ratio amplifies changes in operating income
Both companies have identical operating leverage because their total costs and revenues are the same
Operating leverage is not a meaningful comparison when total costs are the same for both companies
Explanation
Operating leverage is driven by the proportion of fixed to variable costs. Company A's cost structure (high fixed, low variable) produces a higher contribution margin ratio, which means each incremental dollar of revenue beyond break-even flows more directly to income - amplifying both gains and losses from volume changes. Option A is incorrect; high variable costs reduce contribution margin and dampen the leveraging effect. Option B is incorrect; identical totals at a single point do not imply identical leverage - the structure of costs determines leverage, not their total. Option D is incorrect; operating leverage is specifically designed to compare cost structures.
Harrington Co. uses activity-based costing. The equipment setup cost pool totals $180,000 and the cost driver is number of setups, with 600 setups expected for the period. What is the cost driver rate for equipment setups?
$600 per setup
$180 per setup
$300 per setup
$450 per setup
Explanation
Cost driver rate = Total cost pool / Total cost driver units = $180,000 / 600 setups = $300 per setup. Option A doubles the correct rate, possibly from dividing by 300 instead of 600. Option C divides the cost pool by 1,000, not the actual number of setups. Option D divides the cost pool by 400 rather than 600.
A manufacturing company with diverse product lines is considering switching from traditional volume-based overhead allocation to activity-based costing (ABC). Which of the following is the primary advantage of ABC for this company?
ABC assigns overhead based on the activities that actually consume resources, improving cost accuracy across diverse products
ABC always produces lower product costs than traditional allocation methods
ABC reduces the total number of cost pools required for overhead allocation
ABC eliminates fixed overhead costs, reducing total reported product cost
Explanation
ABC traces overhead to products by identifying the activities that cause costs and the drivers that measure activity consumption. For companies with diverse product lines, traditional volume-based drivers (like direct labor hours) systematically over-cost high-volume products and under-cost complex, low-volume products. ABC corrects this by using multiple drivers that reflect actual resource consumption. Option A is incorrect; ABC reallocates overhead, it does not eliminate it. Option B is incorrect; ABC may increase costs for complex low-volume products and decrease them for simple high-volume products. Option D is incorrect; ABC typically requires more cost pools, not fewer.
A step-fixed cost is best described as a cost that:
Increases continuously and proportionally with every additional unit of output produced
Contains a fixed monthly base charge that never changes regardless of the level of activity
Remains constant over a defined range of activity but increases to a new fixed level when activity exceeds that range
Contains both a fixed monthly charge and a per-unit variable component that increase simultaneously
Explanation
A step-fixed cost (also called a step cost) is flat within a range of activity - for example, one supervisor can manage up to 50 workers - but jumps to a new, higher fixed level when activity exceeds the range and additional capacity must be acquired. Option A describes a variable cost. Option B describes a purely fixed cost that never changes, which differs from a step-fixed cost that increases at thresholds. Option D describes a mixed cost, in which both components change, rather than a step structure.
A company uses machine hours to allocate quality inspection overhead but finds inconsistent results across products. An analyst proposes using number of defect inspections as the cost driver instead. Which of the following best justifies this change?
If inspection activity is driven by the number of defect inspections rather than machine hours, defect inspections is a more causally accurate driver
Machine hours are a direct cost driver and should always take precedence over indirect drivers
Using defect inspections will consistently result in lower overhead allocations to all products
Defect inspections are easier to record in most production environments than machine hours
Explanation
A valid cost driver must have a causal relationship with the cost being allocated. If inspection costs are actually triggered by defect inspections - not by the volume of machine time - then defect inspections is the more accurate driver, and switching to it will produce cost allocations that better reflect actual resource consumption. Option A prioritizes measurement convenience over accuracy, which leads to distorted costs. Option B is incorrect; there is no general hierarchy of direct over indirect drivers - accuracy of the causal relationship is the key criterion. Option C is incorrect; switching drivers changes the distribution of costs across products but does not reduce total overhead.