Hahn Company uses job$-$order costing. Its plantwide predetermined overhead rate uses direct labor$-$hours as the allocation base. The company pays its direct laborers $$15$ per hour. During the year, the company started and completed only two jobs$$Job Alpha, which used $54,500$ direct labor$-$hours, and Job Omega. The job cost sheets for these two jobs are shown below:

Job Alpha

Direct materials $?$question mark

Direct labor $?$question mark

Manufacturing overhead applied $?$question mark

Total job cost $ $1,533,500$

Job Omega

Direct materials $ $235,000$

Direct labor $345,000$

Manufacturing overhead applied $184,000$

Total job cost $ $764,000$

Required:

Calculate the plantwide predetermined overhead rate.

Complete the job cost sheet for Job Alpha.