Activity Rates & Cost Allocation - Managerial Accounting

1. By how much is the low-volume motorcycle (LV) undercosted by the traditional direct-labor-hour allocation system compared to the activity-based costing system?
   Answer: $450,000 This requires calculating overhead allocation under both systems for the LV product. Traditional System (DLH-based): - Plantwide Rate: $1,800,000 ÷ 60,000 total DLH = $30 per DLH - Overhead Allocated to LV: $30/DLH × 20,000 DLH = $600,000 ABC System: - Setup Rate: $600,000 ÷ (100 + 300) setups = $1,500 per setup - Machining Rate: $1,200,000 ÷ (50,000 + 50,000) MHs = $12 per machine hour - Overhead Allocated to LV: - Setups: $1,500/setup × 300 setups = $450,000 - Machining: $12/MH × 50,000 MHs = $600,000 - Total ABC Overhead for LV: $450,000 + $600,000 = $1,050,000 Undercosting Amount: ABC Cost for LV - Traditional Cost for LV = $1,050,000 - $600,000 = $450,000 Distractor explanations: - A: Setup cost allocated to HV under ABC ($150,000) - B: Difference between ABC allocation to LV and HV ($1,050,000 - $750,000) - D: Total overhead allocated to LV under traditional system
2. The firm completed an engagement for Stark Industries that spanned 400 project-hours. Stark Industries is an existing client. What is the total indirect cost allocated to the Stark Industries engagement?
   Answer: $36,000 This problem requires calculating costs from two different pools and allocating them to a specific engagement. A key subtlety is understanding how to treat the per-client cost. 1. Calculate Activity Rates: * Client Relations Rate: $300,000 / 50 clients = $6,000 per client. * Project Support Rate: $750,000 / 10,000 hours = $75 per project-hour. 2. Allocate Costs to the Stark Industries Engagement: * Client Relations Cost: Since Stark is one client, it gets allocated 1 client's worth of cost: 1 client × $6,000/client = $6,000. * Project Support Cost: The engagement used 400 project-hours: 400 hours × $75/hour = $30,000. * Total Indirect Cost Allocated: $6,000 + $30,000 = $36,000. * Distractor A ($30,000) correctly calculates the project support cost but omits the client relations cost. This is a common error of overlooking one of the activity pools. * Distractor C ($42,000) is a plausible but incorrect sum, perhaps from a calculation error such as miscalculating one of the rates (e.g., $750,000/50 clients = $15,000. $300,000/10,000 hours = $30/hr. Allocated: $15,000 + 400*$30 = $27,000. Not a match). Let's try another error: $6,000 + (400 hours * $90/hr) = $42,000. It's a plausible calculation mistake. * Distractor D ($75,000) is the Project Support rate per hour ($75) multiplied by 1000, not the correct number of hours. Or it could be a misinterpretation of the data provided.
3. The Production Scheduling activity uses the number of production runs as its cost driver, and there are 3,000 production runs planned for the year. What is the activity rate for Production Scheduling, considering only the costs allocated from the IS department?
   Answer: $140.00 per run This problem tests the first stage of allocation (from a resource department to an activity) and the subsequent calculation of an activity rate. 1. First-Stage Allocation: Allocate the IS department cost to the Production Scheduling activity pool. * Cost Allocated = Total IS Cost × Percentage of Consumption * Cost Allocated = $600,000 × 70% = $420,000 2. Calculate the Activity Rate: Divide the allocated cost by the total activity driver. * Activity Rate = Allocated Cost / Total Production Runs * Activity Rate = $420,000 / 3,000 runs = $140.00 per run. * Distractor A ($60.00 per run) incorrectly uses the 30% related to Quality Control to calculate the allocated cost: ($600,000 × 30%) / 3,000 runs = $180,000 / 3,000 runs = $60.00 per run. * Distractor C ($200.00 per run) ignores the first-stage allocation percentage and divides the entire IS department cost by the driver: $600,000 / 3,000 runs = $200.00 per run. * Distractor D ($420.00 per run) is the total amount of cost allocated to the Production Scheduling pool from the IS department ($420,000), not the per-run activity rate.
4. Manufacturing Solutions uses ABC costing and has determined that its Material Handling activity has a cost equation of $y = 25,000 + 180x$, where $y$ is total cost and $x$ is the number of material moves. If the company expects 400 material moves for the upcoming period and wants to establish an activity rate that includes both variable and fixed components, what should be the predetermined activity rate per material move?
   Answer: $242.50 per move, including proportional fixed cost allocation The cost equation shows fixed costs of $25,000 and variable costs of $180 per move. For 400 expected moves: Total cost = $25,000 + ($180 × 400) = $25,000 + $72,000 = $97,000. Predetermined activity rate including both variable and fixed components = $97,000 ÷ 400 = $242.50 per move. This rate includes the proportional allocation of fixed costs across the expected activity level.
5. Using machine hours as the cost driver, what is the total maintenance cost that should be allocated to Product B-12 for the month?
   Answer: $50,000 This multi-step problem requires first calculating the total cost for the activity pool and the activity rate, then allocating the cost. 1. Calculate the total budgeted maintenance cost for the month: * Total Cost = Fixed Cost + (Variable Rate × Total Activity) * Total Cost = $50,000 + ($15/MH × 10,000 MHs) = $50,000 + $150,000 = $200,000. 2. Calculate the predetermined activity rate: * Activity Rate = Total Budgeted Cost / Total Budgeted Activity * Activity Rate = $200,000 / 10,000 MHs = $20 per machine hour. 3. Allocate the maintenance cost to Product B-12: * Allocated Cost = Activity Rate × Product B-12's Activity * Allocated Cost = $20/MH × 2,500 MHs = $50,000. * Distractor A ($37,500) incorrectly allocates only the variable portion of the cost (2,500 MHs × $15/MH). This error ignores the allocation of the fixed cost component. * Distractor C ($87,500) incorrectly adds the entire fixed cost to the variable cost allocated to Product B-12 ($50,000 + (2,500 MHs × $15/MH) = $50,000 + $37,500). This fails to properly allocate the fixed cost across all units. * Distractor D ($200,000) is the total cost for the entire maintenance department, not the amount allocated specifically to Product B-12.
6. What will be the new budgeted activity rate for the setup cost pool in the upcoming year?
   Answer: $700 per setup This question requires calculating a new activity rate based on changes to both the total cost pool and the total activity driver. 1. Calculate the new total activity driver: * New setups for Product X = 300 * Setups for Product Z = 200 * New total setups = 300 + 200 = 500 setups 2. Identify the new total cost for the pool: * The problem states the new cost is $350,000. 3. Calculate the new activity rate: * New Rate = New Total Cost / New Total Driver = $350,000 / 500 setups = $700 per setup. * Distractor A ($500 per setup) incorrectly uses the new cost but the old total number of setups: $350,000 / (500 + 200) = $350,000 / 700 = $500 per setup. * Distractor C ($840 per setup) correctly calculates the old activity rate before the process improvement: $420,000 / (500 + 200) = $420,000 / 500 = $600 per setup. Wait, $420,000 / 700 = $600 per setup. So $840 is not the old rate. Let's see how we get $840. $420,000 / 500 new setups = $840. This represents using the old cost with the new total driver, a common mistake. * Distractor D ($1,167 per setup) incorrectly uses the new cost but only the new driver for Product X: $350,000 / 300 setups = $1,166.67 per setup.
7. If the department allocates costs based on the anticipated demand (budgeted usage) to determine the rate for internal billing, what is the total cost of unused capacity?
   Answer: $375,000 This question tests the concept of allocating costs based on capacity and identifying the cost of unused capacity. 1. Calculate the activity rate based on practical capacity. This rate represents the true cost per scan if the resource were fully utilized. * Rate = Total Cost / Practical Capacity = $1,500,000 / 10,000 scans = $150 per scan. 2. Calculate the amount of unused capacity in units of the activity driver. * Unused Capacity = Practical Capacity - Budgeted Usage = 10,000 scans - 7,500 scans = 2,500 scans. 3. Calculate the cost of this unused capacity. * Cost of Unused Capacity = Unused Capacity × Rate based on practical capacity = 2,500 scans × $150/scan = $375,000. * Distractor A ($0) is incorrect. Unused capacity has a cost, which is the fixed cost associated with the capacity that is not being used. * Distractor B ($200,000) is the result of using the rate based on budgeted usage ($1,500,000 / 7,500 = $200) and multiplying it by an incorrect number. Or perhaps it's the rate itself, which is not the answer. Distractor D ($1,125,000) is the total cost allocated to the budgeted scans ($1,500,000 / 7,500 scans = $200/scan; $200/scan 7,500 scans = $1.5M. Wait, $150/scan * 7500 scans = $1,125,000). This is the cost of the used capacity, not the unused capacity.
8. What is the customer service cost allocated per unit of Widget sold?
   Answer: $16.00 This is a multi-step allocation problem that highlights how ABC assigns costs based on consumption, not production volume. 1. Calculate the total activity driver: * Total Service Calls = 100 (Gizmo) + 800 (Widget) = 900 calls. 2. Calculate the activity rate: * Rate = Total Pool Cost / Total Driver = $90,000 / 900 calls = $100 per call. 3. Allocate total cost to the Widget product line: * Cost for Widget = Rate × Widget's Calls = $100/call × 800 calls = $80,000. 4. Calculate the cost per unit for Widget: * Per-Unit Cost = Total Allocated Cost for Widget / Units of Widget Sold = $80,000 / 5,000 units = $16.00 per unit. * Distractor A ($4.50) is the average cost per unit across all products ($90,000 / (15,000 + 5,000) units), which ignores the actual consumption of the service activity. * Distractor C ($18.00) results from dividing the total cost by the number of Widget units ($90,000 / 5,000 units), incorrectly assigning all costs to one product. * Distractor D ($100.00) is the activity rate per service call, not the allocated cost per unit of product sold.
9. Innovative Systems has two service departments (IT Support and Human Resources) and two production departments (Assembly and Finishing). IT costs are allocated based on computer usage hours, while HR costs are allocated based on number of employees. After the service department allocations are complete, Assembly has $540,000 in total costs and Finishing has$720,000. If Assembly uses machine hours as its cost driver (4,500 total hours) and Finishing uses direct labor cost as its driver ($$180,000 total), what activity rate should be used to allocate costs from Assembly to products that consume 250 machine hours?
   Answer: $120 per machine hour, allocating$30,000 to products using 250 hours Assembly activity rate = Total Assembly costs ÷ Total machine hours = $540,000 ÷ 4,500 hours = $120 per machine hour. Allocation to products using 250 machine hours = $120 × 250 = $30,000. This is a straightforward calculation using the predetermined activity rate based on Assembly's total allocated costs and total cost driver activity. The other options either use incorrect rates or miscalculate the allocation amount.
10. The 'Basic' product line generated $1,000,000 in sales revenue and incurred $620,000 in direct material and direct labor costs. What is the revised gross margin for the 'Basic' product line under the ABC system?
    Answer: 18.0% This problem requires calculating a new gross margin using ABC data, ignoring the irrelevant information about the old costing system's outcome. 1. Calculate total manufacturing cost under ABC: - Direct Costs = $620,000 - ABC-Allocated Overhead = $200,000 - Total Cost = $620,000 + $200,000 = $820,000 2. Calculate Gross Profit: - Gross Profit = Sales Revenue - Total Cost - Gross Profit = $1,000,000 - $820,000 = $180,000 3. Calculate Gross Margin percentage: - Gross Margin = ($180,000 / $1,000,000) × 100% = 18.0% - Distractor B (20.0%) is the old gross margin under the traditional system, which students might mistakenly use. - Distractor C (22.0%) represents a calculation error where students might incorrectly add the change in overhead. - Distractor D (38.0%) represents gross profit as a percentage ($380,000/$1,000,000), confusing gross profit dollars with gross margin percentage.
11. A specific customer, MegaMart, placed 500 orders, of which 300 contained at least one item weighing over 25 lbs. A total of 400 heavy items were shipped to MegaMart. How much overhead from these two pools is allocated to MegaMart?
    Answer: $17,500 This problem tests the ability to correctly match activities to their specific drivers, and to ignore irrelevant information within the stem. 1. Calculate the activity rate for each pool: * Order Fulfillment Rate: $150,000 / 10,000 orders = $15 per order. * Heavy Item Shipping Rate: $50,000 / 2,000 heavy items = $25 per heavy item. 2. Allocate costs to MegaMart using the correct drivers: * The driver for Order Fulfillment is the number of orders placed by MegaMart (500). * The driver for Heavy Item Shipping is the number of heavy items shipped to MegaMart (400). The fact that they were in 300 orders is irrelevant information. * Order Fulfillment Cost: 500 orders × $15/order = $7,500. * Heavy Item Shipping Cost: 400 items × $25/item = $10,000. 3. Sum the allocated costs: * Total Allocated Overhead = $7,500 + $10,000 = $17,500. * Distractor A ($7,500) allocates the order fulfillment cost but ignores the heavy item shipping cost. * Distractor B ($15,000) incorrectly uses the number of orders containing heavy items (300) as the driver for the shipping pool: $7,500 + (300 orders × $25/item) = $7,500 + $7,500 = $15,000. This is a very common type of error. * Distractor D ($20,000) is a plausible but incorrect sum, possibly from miscalculating one of the rates or allocations.
12. Given that travel time and distance are the most significant factors influencing the consumption of robot resources (energy, wear-and-tear), which of the following would be the most accurate cost driver for the 'Order Picking' activity?
    Answer: Number of bin locations visited This conceptual question requires applying the core principle of ABC: selecting a cost driver that has the strongest cause-and-effect relationship with the incurrence of the costs in the pool. * The costs are related to robot usage, and the stem states that travel time and distance are the most significant factors. 'Number of bin locations visited' serves as the best available proxy for the total distance traveled by the robots. A complex order requiring visits to many different locations will cause more cost than a simple order with items in one location. * Distractor A (Number of orders processed) is a poor driver because it treats all orders as if they consume the same resources. A simple one-item order is costed the same as a complex 50-item order from 30 different locations. * Distractor B (Number of items picked) is better than A, but still not the best. An order for 100 units of the same item from a single bin location would be less costly for the robots to pick than an order for 100 different items from 100 different bin locations. * Distractor C (Number of direct labor hours) is incorrect because the process is automated. The costs are driven by robot activity, not human labor.
13. If the company discontinues the Pro-Model product line, what are the total annual product-sustaining costs that would be avoided?
    Answer: $220,000 This question requires identifying which costs are product-sustaining and would be avoided if the product line is dropped. Product-sustaining costs are incurred to support a specific product line, regardless of how many units or batches are produced. * Pro-Model advertising campaign ($80,000): This is a classic product-sustaining cost. It would be avoided. * Engineering changes for the Pro-Model ($45,000): This cost relates to the product itself, not individual units or batches. It is product-sustaining and would be avoided. * Salary of the Pro-Model product manager ($95,000): This manager is specific to the product line. The salary is a product-sustaining cost that would be avoided. * Costs that are NOT product-sustaining or avoidable in this context: * Factory Rent ($500,000): This is a facility-sustaining cost and would not be avoided. * Production machine depreciation ($120,000): This is also a facility-sustaining cost (or potentially unit-level if based on usage, but it would still be incurred for other products). * Cost of production setups ($60,000): This is a batch-level cost, not a product-sustaining cost. * Calculation of Avoidable Product-Sustaining Costs: * $80,000 (Advertising) + $45,000 (Engineering) + $95,000 (Salary) = $220,000. * Distractor A ($140,000) is the sum of the engineering changes and the product manager salary, but omits the advertising cost. * Distractor C ($280,000) incorrectly includes the batch-level setup costs in the total ($220,000 + $60,000). * Distractor D ($840,000) is the sum of all listed costs, failing to distinguish between cost types and avoidability.
14. If LexiCo prices its orders at 150% of total manufacturing overhead cost, what is the total price that should be quoted for this special order?
    Answer: $25,050 This is a two-step problem. First, calculate the total overhead cost to be allocated to the special order. Second, apply the 150% markup to determine the quoted price. 1. Calculate Total Allocated Overhead: * Machining: 500 machine hours × $25/hour = $12,500 * Material Handling: 30 moves × $80/move = $2,400 * Quality Assurance: 15 inspections × $120/inspection = $1,800 * Total Overhead: $12,500 + $2,400 + $1,800 = $16,700 2. Calculate Quoted Price: * Total Overhead Cost × 150% = $16,700 × 1.50 = $25,050 * Distractor A ($16,700) is the total overhead cost allocated to the order, but it fails to apply the 150% pricing markup. Distractor B ($22,500) is a miscalculation, possibly from mixing rates and drivers, for example (500 MH $25) + (30 moves $120) + (15 inspections $80) = $12,500 + $3,600 + $1,200 = $17,300. Not this one. Let's try another error. Perhaps forgetting one activity. ($12,500+$2,400)*1.5 = $22,350. Close. Let's try summing the rates and multiplying. ($25+$80+$120) (500+30+15) is not logical. Maybe a simple error: $15,000 1.5 = $22,500, possibly from rounding the machining cost. Distractor C ($24,000) incorrectly applies the markup to only the largest cost component: ($12,500 × 1.50) + $2,400 + $1,800 = $18,750 + $4,200 = $22,950. Or perhaps another error: summing the activity drivers (500+30+15 = 545) and multiplying by the highest rate ($120) and then the markup: 545 $120 1.5 = $98,100. Let's try: Total overhead $16,700 + 50% of overhead ($8,350) = $25,050. Maybe the distractor is total overhead plus a simple markup: $16,700 + $10,000 is not plausible. Let's make the distractor $24,000 come from a plausible error. Perhaps using the number of units (1000) somewhere. For example, $16.70 per unit, maybe they think it's $16 per unit, so $16 1.5 * 1000 = $24,000. This is plausible.
15. Job #784 required 5 hours of design consultation, 4 material requisitions, and 12 machine hours for fabrication. What is the total manufacturing overhead applied to Job #784?
    Answer: $1,240 This question requires allocating costs from multiple pools to a single job based on its specific consumption of activities. A key element is recognizing that Finishing is a per-job cost and must be included. 1. Allocate cost from each activity pool to Job #784: * Design Consultation: 5 hours × $80/hour = $400 * Materials Handling: 4 requisitions × $30/requisition = $120 * Fabrication: 12 machine hours × $50/hour = $600 * Finishing: This is a job-level cost, so the full rate applies: $120 2. Sum the allocated costs: * Total Overhead = $400 + $120 + $600 + $120 = $1,240 * Distractor A ($280) is the sum of the activity rates ($80 + $30 + $50 + $120), which is a meaningless number. * Distractor B ($1,120) correctly calculates the costs for design, materials, and fabrication ($400 + $120 + $600) but omits the job-level finishing cost. * Distractor D ($1,360) is a plausible calculation error, perhaps by double-counting one of the costs, for instance, adding the finishing cost twice ($1,240 + $120).
16. If Beta Corp negotiates a new contract to reduce its usage to 60 server racks, and the total cost pool remains $360,000, what amount of server maintenance cost will now be allocated to Alpha Corp?
    Answer: $240,000 This what-if scenario requires recalculating the activity rate and then reallocating the costs based on the new total driver amount. 1. Calculate the new total for the activity driver: - New Total Racks = 120 (Alpha) + 60 (Beta) = 180 racks 2. Calculate the new activity rate: - The total cost pool remains $360,000 - New Rate = $360,000 / 180 racks = $2,000 per rack 3. Allocate the cost to Alpha Corp based on the new rate: - Cost for Alpha = $2,000/rack × 120 racks = $240,000 - Distractor A ($216,000) is the amount that was allocated to Alpha Corp before the change in Beta Corp's usage (old rate of $1,800/rack × 120 racks) - Distractor C ($252,000) represents a calculation error in the new activity rate - Distractor D ($360,000) incorrectly allocates the entire cost pool to Alpha, ignoring Beta's continued usage
17. The quality control process involves a technician visually inspecting a sample from each production run. More complex runs require more time, but the primary cost driver is initiating the inspection process for each run. Given this, what is the most appropriate activity rate for the Quality Control cost pool?
    Answer: $480 per production run The key to this question is to select the most logical cost driver based on the description of the activity, and then perform the calculation. The description states that the process involves inspecting a sample from each production run and that the primary driver is initiating the process for each run. This strongly indicates that 'Number of production runs' is the most appropriate cost driver. * Calculation: Activity Rate = Total Cost / Total Activity Driver = $240,000 / 500 production runs = $480 per production run. * Distractor A ($6.00 per machine hour) is the rate calculated using machine hours as the driver ($240,000 / 40,000 MHs). While machine hours can be a driver for some activities, the description does not link it to the quality control process. * Distractor B ($120 per inspection) is the rate calculated using the number of inspections ($240,000 / 2,000 inspections). While plausible, the description emphasizes that the process is tied to each run, making 'production runs' a better high-level driver for the entire QC activity as described. * Distractor D ($240,000 per activity) is simply the total cost of the pool and not a rate per unit of activity.

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