A company uses the departmental overhead rate method. Total overhead costs are $5,000,000. Of this total, the machining department is assigned overhead costs of $4,000,000 and the assembly department is allocated the remainder. The machining department uses machine hours as their allocation base and has 80,000 machine hours. The assembly department uses direct labor hours as their allocation base and has 50,000 direct labor hours. Calculate the overhead rate for the machining department.

$50.00 per machine hour

$20.00 per direct labor hour

$62.50 per machine hour

$100.00 per direct labor hour