Materials costs of $$969000$ and conversion costs of $$1193760$ were charged to a processing department in the month of September. Materials are added at the beginning of the process, while conversion costs are incurred uniformly throughout the process. There were no units in beginning work in process inventory, $170000$ units were started into production in September, and there were $6000$ units in ending work in process inventory that were $30\%$ complete as to conversion costs at the end of September.

What was the total amount of manufacturing costs assigned to the $6000$ units in ending work in process inventory?

$$12960$

$$47160$

$$23220$

$$34200$