Lynwood, Incorporated, produces two products $($Product A and Product X$)$ using two activities: Machining, which uses machine hours as the cost driver, and Inspection, which uses the number of batches as the cost driver. The activity rate for Machining is $$180$ per machine hour, and the activity rate for Inspection is $$520$ per batch. The products have the following activity demands:

$\backslash$table$[[,$Product A$,$Product X$,$Total$],[$Machine hours,$1,300,3,900,5,200],[$Number of batches,$55,24,79]]$

What is the amount of Machining cost assigned to Product $x?$