Final answer:
To allocate service center costs, first allocate the computer services cost based on workstations, then allocate legal services cost based on the number of patients, and finally sum the allocated costs for each clinic to determine total allocated costs.
Step-by-step explanation:
To allocate the cost of service centers to operating departments using the step method, we first need to allocate the cost of computer services, then allocate the cost of legal services.
Step 1: Allocating the Cost of Computer Services
The total number of workstations is 18 (Cobb Clinic) + 16 (Victoria Clinic) + 18 (Pied Clinic) + 8 (Legal Services) = 60 workstations. The cost per workstation is $480,000 / 60 = $8,000. Here's how the cost allocation for computer services would look:
- Cobb Clinic: 18 workstations * $8,000 = $144,000
- Victoria Clinic: 16 workstations * $8,000 = $128,000
- Pied Clinic: 18 workstations * $8,000 = $144,000
- Legal Services: 8 workstations * $8,000 = $64,000
Step 2: Allocating the Cost of Legal Services
After the allocation of computer services, we allocate the legal services cost using the number of patients as the cost driver. First, we sum the total number of patients: 6,000 (Cobb) + 4,200 (Victoria) + 5,800 (Pied) = 16,000 patients. The cost per patient is $256,000 / 16,000 = $16 per patient. The allocation for legal services is as follows:
- Cobb Clinic: 6,000 patients * $16 = $96,000
- Victoria Clinic: 4,200 patients * $16 = $67,200
- Pied Clinic: 5,800 patients * $16 = $92,800
Step 3: Computing Total Allocated Costs
Finally, we add up the allocated costs of computer and legal services for each clinic:
- Cobb Clinic: $144,000 + $96,000 = $240,000
- Victoria Clinic: $128,000 + $67,200 = $195,200
- Pied Clinic: $144,000 + $92,800 = $236,800