Final answer:
The total direct labor cost incurred for the year 2025 is $175,000.
Step-by-step explanation:
To calculate the total direct labor cost incurred for the year 2025, we need to use the overhead application rate of 50% of direct labor cost.
We are given that the underapplied overhead cost is $35,000 and the actual overhead cost incurred is $87,500. Underapplied overhead cost means that the applied overhead is less than the actual overhead cost.
To find the total direct labor cost, we can use the formula:
Total Direct Labor Cost = Actual Overhead Cost / Overhead Application Rate
Substituting the given values:
Total Direct Labor Cost = $87,500 / 0.5 = $175,000
Therefore, the total direct labor cost incurred for the year 2025 is $175,000.