- Using a plant-wide factory overhead rate distorts product costs when:
A.
products require different ratios of allocation-base usage in each production department
B.
significant differences exist in the factory overhead rates used across different production departments
C.
both A and B exist
D.
either A or B exist
The Correct Answer and Explanation is :
Correct Answer: C. Both A and B exist
Explanation:
A plant-wide factory overhead rate applies the same overhead rate across all departments and products in a manufacturing facility, regardless of their specific production characteristics. While simple and easy to implement, this approach can lead to significant distortions in product costs when certain conditions are present. These conditions are encapsulated in options A and B, both of which contribute to inaccuracies in cost allocation.
- Products Require Different Ratios of Allocation-Base Usage in Each Production Department (A):
When products use varying amounts of resources (e.g., labor hours, machine hours) in different departments, a single plant-wide rate cannot accurately represent the overhead consumed by each product. For example, one product may require more time in a labor-intensive department, while another may heavily use machinery in an automated department. Applying the same overhead rate ignores these differences, leading to over-costing or under-costing specific products. - Significant Differences in Factory Overhead Rates Across Departments (B):
Different departments often have varying cost structures. For instance, one department may use expensive machinery (with high depreciation and maintenance costs), while another may rely primarily on manual labor (with lower associated overhead). A single plant-wide rate averages these costs, failing to reflect the true cost differences. This misrepresentation can mislead pricing, profitability analyses, and decision-making. - Combination of A and B (C):
When both conditions are present, the distortions are amplified. Products with diverse resource requirements across departments and significant variations in departmental overhead rates are particularly susceptible to cost misallocations under a plant-wide rate.
Using a departmental overhead rate or activity-based costing (ABC) provides more accurate cost allocation by accounting for differences in resource consumption and overhead rates across departments or activities. This ensures better cost control, pricing strategies, and profitability analysis. Thus, the correct answer is C since both conditions jointly contribute to cost distortions.