Wexpro, Incorporated, produces several products from processing $1$ ton of clypton, a rare

mineral. Material and processing costs total $$78,000$ per ton, one$-$fourth of which is

allocated to product $x15.$ Eight thousand four hundred units of product $x15$ are produced

from each ton of clypton. The units can be either sold at the split$-$off point for $$10$ each or

processed further at a total cost of $$6,000$ and then sold for $$13$ each.

Required:

What is the financial advantage $($disadvantage$)$ of further processing product $15?$

Should product $15$ be processed further or sold at the split$-$off point?