Lueckenhoff Corporation uses a job$-$order costing system with a single plantwide predetermined overhead rate based on direct labor$-$hours. The company based its predetermined overhead rate for the current year on total fixed manufacturing overhead cost of $$497,000,$ variable manufacturing overhead of $$2\mathrm{.}40$ per direct labor$-$hour, and $70,000$ direct labor$-$hours. The company has provided the following data concerning Job T$498$ which was recently completed:$$The unit product cost for Job T$498$ is closest to: $($Round your intermediate calculations to $2$ decimal places.$)$

The estimated total manufacturing overhead is closest to:

Group of answer choices

$$168,000$

$$497,000$

$$497,002$

$$665,000$