Sophmore Industries uses a weighted$-$average process$-$costing system. All materials are added at the beginning of the process while conversion costs are incurred evenly throughout production. The company finished $40,400$ units during the period and had $15,800$ units in progress at year$-$end, the latter at the $50\%$ stage of completion. Total material costs amounted to $$224,000$; conversion costs were $$416,000.$

The cost of the ending work in process is closest to:

Note: Do not round intermediate calculations

Multiple Choice

$$68,041.$

none of the answers is correct.

$$192,000.$

$$131,016.$

$$102,000.$