Final answer:
The applied manufacturing overhead for the year was $139,822, which is closest to option 4) $139,802.
Step-by-step explanation:
To determine the applied manufacturing overhead, we need to multiply the actual machine hours by the predetermined overhead rate. In this case, the actual machine hours were 5,660 and the predetermined overhead rate was $24.70 per machine hour. So, applied manufacturing overhead = actual machine hours * predetermined overhead rate = 5,660 * $24.70 = $139,822. The applied manufacturing overhead for the year was closest to option 4) $139,802.