Final answer:
Using the plantwide overhead rate of $73.21 per direct labor-hour, the manufacturing overhead cost allocated to product Y is $651,569 and to product Z is $80,531.
Step-by-step explanation:
To determine how much manufacturing overhead cost is allocated to product Y and product Z using a plantwide overhead rate based on direct labor-hours, we add up the total estimated overhead costs and divide by the total direct labor-hours to find the overhead rate per direct labor-hour. Then, multiply the overhead rate by the direct labor-hours for each product.
The total overhead costs are $209,000 for Machining + $171,100 for Machine Setups + $93,000 for Production Design + $259,000 for General Factory, which equals $732,100. The total direct labor-hours (DLHS) are 10,000. Therefore, the overhead rate is $732,100 / 10,000 DLHS = $73.21 per direct labor-hour.
Now, to allocate the costs:
- Product Y uses 8,900 direct labor-hours, so its overhead cost is 8,900 DLHS * $73.21/DLHS = $651,569.
- Product Z uses 1,100 direct labor-hours, so its overhead cost is 1,100 DLHS * $73.21/DLHS = $80,531.