- A company with two service departments (S1, S2) and two production departments (P1, P2) uses the step-down method. If the allocation order were reversed from (1st S1, 2nd S2) to (1st S2, 2nd S1), which of the following statements is always true?
Answer: The total amount of service department costs allocated to the production departments in aggregate will remain the same.
The step-down method, regardless of the allocation order, allocates 100% of the total service department costs to the production departments. While the specific amounts allocated to each production department (P1 vs. P2) will change based on the order, the sum of the costs allocated to all production departments will not change. This sum is equal to the total direct costs of all service departments.
Distractor Rationale:
- A is incorrect. Cost allocation is a process of distributing existing costs; it does not change the total costs incurred by the company.
- B is incorrect. The amounts allocated to individual production departments (P1 and P2) will almost always change when the allocation order is reversed. Only in very rare coincidental cases would they remain the same.
- D is incorrect. The department ranked second (S1 in the new order) will have its cost pool increased by any costs allocated to it from the first department (S2). Allocating only its direct costs is a common error in applying the method.
- If Aurora continues with their current step-down sequence despite this discovery, what is the primary limitation of their current allocation method?
Answer: The allocation will fail to recognize the reciprocal service relationship between Utilities and Quality Control departments
The correct answer is B. The step-down method's primary limitation is that it does not recognize reciprocal services between departments once a department has been allocated and closed. Since Quality Control provides services to Utilities, but Utilities is allocated before Quality Control in their sequence, this reciprocal relationship is ignored. Choice A is incorrect because later departments don't necessarily receive overstated costs. Choice C is wrong because Quality Control will still receive its allocated costs from Maintenance and Utilities, just not the reverse flow. Choice D is incorrect because step-down allocation doesn't produce negative allocations.
- When applying the step-down allocation method, which of the following is the most appropriate principle for determining the sequence of service department cost allocations?
Answer: The department providing the highest percentage of its services to other service departments is allocated first.
The primary principle behind the step-down method's sequence is to allocate the department that provides the most service to other service departments first. This approach minimizes the distortion caused by the method's failure to account for all reciprocal services. By closing the most inter-connected service department first, the unrecorded reciprocal services are of a smaller magnitude.
Distractor Rationale:
- A describes a common practical heuristic or tie-breaking rule, but it is not the underlying theoretical principle. A department with lower costs could provide a much higher proportion of its services to other service departments.
- C confuses a potential allocation base (number of employees for an HR department) with the sequencing principle. The principle is about the flow of services, not the absolute size of the driver.
- D is fundamentally incorrect. The allocation sequence has a significant impact on the final costs assigned to each production department.
- A primary justification for the step-down method ignoring the services provided by a service department to one that has already been allocated is that:
Answer: The method is designed as a practical compromise between the simplicity of the direct method and the complexity of the reciprocal method.
The step-down method is an intermediate approach to service cost allocation. It is more sophisticated than the direct method because it recognizes some, but not all, of the services between service departments. It is less complex than the reciprocal method, which requires solving a system of simultaneous equations to account for all mutual services. The reason it ignores 'backflows' to already-closed departments is a direct consequence of its design as a sequential, one-way allocation process, which represents a compromise between accuracy and simplicity.
Distractor Rationale:
- A is not always true; the reciprocal services could be material, and ignoring them is a known limitation of the method, not a justification based on materiality.
- B states a true fact about the method (it's more accurate than direct) but doesn't explain why it ignores reciprocal services to closed departments. That is a feature of its design, not the justification for the design itself.
- D is incorrect. Both the step-down and reciprocal methods allocate 100% of service costs to production departments.
- A company allocates costs from its two service departments, S1 and S2, using the step-down method. S1 is allocated first. The allocation from S1 to S2 is $40,000. S2's direct costs are $110,000. S2 provides 30% of its services to production department P1 and 70% to production department P2. How much cost is allocated from S2 to P1?
Answer: $45,000
This question tests the critical step of correctly identifying the numerator (the total cost pool) for the second department in the sequence.
1. Calculate S2's Total Cost Pool: The cost pool for S2 is its direct cost plus the cost allocated to it from S1.
- Total Pool = $110,000 (Direct) + $40,000 (from S1) = $150,000.
2. Allocate S2's Cost Pool: This total cost pool is then allocated to the production departments based on the percentage of services provided.
- Allocation to P1 = Total S2 Pool * Percentage of service to P1
- Allocation to P1 = $150,000 * 30% = $45,000.
Distractor Rationale:
- A ($33,000) is the result of incorrectly using only S2's direct costs as the allocation base ($110,000 * 30%). This is the most common error.
- C ($12,000) is the result of allocating only the portion received from S1 ($40,000 * 30%).
- D ($75,000) results from misreading the percentages and allocating 50% ($150,000 * 50%) or some other calculation error.
- Pacific Corp uses the step-down method to allocate service department costs. The Cafeteria department ($45,000) is allocated first based on number of employees, followed by Security ($38,000) based on square footage. After Cafeteria allocation, Security's total cost becomes $50,000. If Production Department A has 60 employees and 8,000 square feet, and Production Department B has 40 employees and 12,000 square feet, what is the difference between total allocations received by Department A versus Department B?
Answer: Department B receives $1,000 more than Department A
The correct answer is C. Step 1: Allocate Cafeteria ($45,000) based on employees. Total employees in A and B = 100. Dept A gets $45,000 × (60/100) = $27,000. Dept B gets $45,000 × (40/100) = $18,000. Step 2: Allocate Security ($50,000) based on square footage. Total sq ft = 20,000. Dept A gets $50,000 × (8,000/20,000) = $20,000. Dept B gets $50,000 × (12,000/20,000) = $30,000. Total allocations: Dept A = $27,000 + $20,000 = $47,000. Dept B = $18,000 + $30,000 = $48,000. Department B receives $1,000 more than A.
- Under the step-down method, a company allocates its Power department costs before its HR department costs. Recently, the Power department upgraded its equipment, causing the proportion of power it provides to the HR department to increase, while power provided to production departments decreased proportionally. Assume all costs and other usage patterns remain the same. What is the most likely impact of this change on the costs allocated to the production departments?
Answer: Less cost will be allocated from the Power department to production and more from the HR department.
Let's trace the effect. Power is allocated first. Because a higher proportion of its service now goes to HR, more of Power's cost will be allocated to HR, and less will be allocated directly to production departments. This increases HR's total cost pool (its direct costs + the now larger allocation from Power). When HR's larger cost pool is allocated to production, it will result in a larger allocation from HR to production. Therefore, the net effect is that production departments receive less cost directly from Power and more cost indirectly via HR.
Distractor Rationale:
- A is incorrect because while the total service cost remains the same, the allocation pattern and thus the source of the cost (Power vs. HR) for the production departments changes.
- B describes the opposite effect. This would happen if HR received less power.
- D is incorrect. The allocation of costs to the production departments is certainly affected by changes in inter-service department usage patterns in the step-down method.
