Final answer:
The expected cost of direct labor for the OM362 is $2,037,750, calculated by determining the labor hours for assembling and polishing and applying the respective direct labor rates to these hours.
Step-by-step explanation:
To calculate the expected cost of direct labor for OM362 by Three Bears Manufacturing, we need to account for the labor required for each of the units expected to be sold, adjusted for the finished inventory. The units expected to be produced equal the units expected to be sold plus the desired ending finished inventory minus the beginning inventory. This gives us:
19,000 (expected sales) + 7,000 (ending inventory) - 1,300 (beginning inventory) = 24,700 (total units to be produced).
Each unit requires two labor operations: three hours of assembling and three hours of polishing. Therefore, the total labor hours required for assembling are 24,700 units X 3 hours/unit = 74,100 hours, and for polishing, it’s the same, giving us another 74,100 hours.
The direct labor costs are $13.00 per hour for assembling and $14.50 per hour for polishing. Thus, the costs will be:
Assembling: 74,100 hours X $13.00/hour = $963,300
Polishing: 74,100 hours X $14.50/hour = $1,074,450
Adding these together gives us the total direct labor cost:
$963,300 (assembling) + $1,074,450 (polishing) = $2,037,750.