Final answer:
Activity rates for the Machining cost pool and Setting Up cost pool are $0.58 per MH and $4.70 per batch, respectively. The overhead assigned to Product Z7 would be $2,204 for Machining and $3,290 for Setting Up, while Product K9 would have $3,596 for Machining and $1,410 for Setting Up.
Step-by-step explanation:
To calculate the activity rates for each activity cost pool using activity-based costing (ABC), we need to divide the total cost for each pool by the total activity units for that pool. For the Machining pool, this means dividing the total pool cost of $5,800 by the total machine hours (MHs) of 10,000, giving us a rate of $0.58 per MH. For the Setting Up pool, we divide the total pool cost of $4,700 by the total number of batches, 1,000, resulting in a rate of $4.70 per batch. The Other cost pool costs are not assigned to products.
Next, to determine the amount of overhead cost assigned to each product, we multiply the activity rates by the activity units consumed by each product. For Product Z7, this means $0.58 per MH × 3,800 MHs for machining, plus $4.70 per batch × 700 batches for setting up. For Product K9, we calculate $0.58 per MH × 6,200 MHs for machining, plus $4.70 per batch × 300 batches for setting up.
By using activity-based costing, the firm can more accurately allocate overhead costs to products based on their actual consumption of activities, leading to better cost control and pricing strategies.