Assume that a manufacturer has three producing departments: molding, machining, and painting. The capacity measure for molding and machining is machine hours, whereas the capacity measure for painting is direct labor hours. For Job #$59,$ the factory accumulated $23$ machine hours of molding, $13$ machine hours of machining, and $8$ direct labor hours of painting. Molding has a predetermined overhead rate of $ $13$ per machine hour, machining has a predetermined overhead rate of $ $11$ per machine hour, and painting has a predetermined overhead rate of $ $7$ per direct labor hour. How much overhead should be applied to Job #$59?$