Final answer:
Using the direct method, the Maintenance Department costs allocated to Department B are approximately $69,231, and the Personnel Department costs are $75,000. The exact amount for the step-down method cannot be determined without additional interdepartmental percentages. Department A would be allocated approximately $92,308 for Maintenance and $25,000 for Personnel using the direct method.
Step-by-step explanation:
To allocate the Maintenance Department costs using the direct method to Department B, we need to consider the ratio of budgeted maintenance-hours for Department B to the total maintenance-hours for all departments (excludes Maintenance since it's the source department). The total budgeted maintenance-hours are 800 + 1200 + 600 = 2600 hours. Department B has 600 hours, which is ≈ 23.08% of the total. Therefore, Department B will be allocated 23.08% of $300,000, which equals $69,231.
Similarly, for the Personnel Department costs, we allocate based on the number of employees. With 800 total employees (200 + 600), Department B has 600, making up 75% of the total. Thus, Department B will be allocated 75% of $100,000, which equals $75,000.
The step-down method involves allocating service departments one at a time, with the highest percentage of interdepartmental support service first. If Maintenance is allocated first, we must now consider the interdepartmental hours as well. However, since the specific interdepartmental percentages are not given in the original question, we cannot calculate the exact allocation without additional information. This method would require a recalculation of percentages after each department allocation.
Lastly, allocating Maintenance Department costs to Department A using the direct method would give Department A 800 hours out of 2600 total hours, which is ≈ 30.77% of $300,000, equivalent to $92,308. For Personnel Department costs, Department A would get 25% of $100,000 since it has 200 employees out of 800, leading to an allocation of $25,000.