At the beginning of the month, $32,500$ units were in process. During October, the company started $145,000$ units and transferred $155,000$ units to the Assembly department. At the end of the month, the Cutting department's work in process inventory consisted of $22,500$ units that were $80\%$ complete with respect to conversion costs.

Required:

Prepare the Cutting department's process cost summary for October using the weighted$-$average method.

Prepare the journal entry dated October $31$ to transfer the cost of the partially completed units to Assembly.