Sheridan Co$.$ computed an activity$-$based overhead rate for machining costs $($$$390000)$ of $$5$ per machine hour. Machining costs are driven by machine hours. If computed based on direct labor hours, the activity$-$based overhead rate for machining costs would be $$10$ per direct labor hour. The company produces two products. Cape and Chap. Cape requires $45600$ machine hours and $20000$ direct labor hours, while Chap requires $30400$ machine hours and $30000$ direct labor hours. Using activity$-$based costing, the machining overhead cost assigned to each product is