Cate's Crates manufactures custom crates for a variety of uses. The following data have been recorded for Job $551,$ which was recently completed. Direct materials used cost $$8,200.$ There were $88$ machine hours used on this job. The predetermined overhead rate is $$37$ per machine hour used. There were $176$ direct labor hours worked on this job at a direct labor wage rate of $$33$ per hour.

What is the total manufacturing cost of Job $551?$

A$)$ $$8,464$

B$)$ $$5,808$

C$)$ $$17,264$

D$)$ $$11,456$