Northern Washington Lumber Company grows, harvests, and processes timber for use as building lumber. The following data pertain to the company$$s sawmill:

Work$-$in$-$process inventory, January $1$

$($direct materials: $60\%,$ conversion: $40\%)34,400$ units

Work$-$in$-$process inventory, December $31$

$($direct materials: $70\%,$ conversion: $60\%)17,200$ units

During the year the company started $227,500$ units in production.

Required:

$1.$ Prepare a physical flow schedule.

$2.$ Compute the number of equivalent units of both direct materials and conversion for the year, using the weighted$-$average method.