Keene Company allocates overhead based on direct labor hours. It allocates overhead costs of $$4,400$ to two different jobs as follows:

Job $1$: $(8$ hours$)=$ $$2,200$; Job $2$: $(8$ hours$)=$$$2,200$

The production process for Job $2$ was then automated. Now Job $2$ requires only two hours of direct labor but four hours of mechanical processi result, total overhead increased to $$6,460.$ How much overhead cost will be assigned to Job $1$ after automation?

Multiple Choice

$$3,492$

$$5,168$

$$2,200$

$$1,292$