Albert Tubes Co$.$ uses machine hours as the predetermined overhead rate to apply manufacturing overhead to jobs. This year, the company worked $12000$ actual direct labor hours and used $11000$ machine hours. The total overhead cost incurred was $$65000.$

The company had estimated that it would work $3000$ direct labor hours, and use $5000$ machine hours, during the year.

The allocation rate based on direct labour hours is $$11$ per direct labour hour and the allocation rate based on machine hours is $$6$ per machine hour.

How much overhead was estimated?