Problem $4-14($Algo$)$ Analysis of Work in Process T$-$account$-$Weighted$-$Average Method $[$LO$4-1,$ LO$4-2,$ LO$4-3,$ LO$4-4]$

Weston Products manufactures an industrial cleaning compound that goes through three processing departments$$Grinding$,$ Mixing, and Cooking. All raw materials are introduced at the start of work in the Grinding Department. The Work in Process T$-$account for the Grinding Department for May is given below:

Work in Process$$Grinding Department

Debit Credit

Inventory, May $1310,070$ Completed and transferred to the Mixing Department $?$

Materials $570,560$

Conversion $363,662$

Inventory, May $31?$

The May $1$ work in process inventory consisted of $101,000$ pounds with $$183,820$ in materials cost and $$126,250$ in conversion cost. The May $1$ work in process inventory was $100\%$ complete with respect to materials and $30\%$ complete with respect to conversion. During May, $280,000$ pounds were started into production. The May $31$ inventory consisted of $78,000$ pounds that were $100\%$ complete with respect to materials and $70\%$ complete with respect to conversion. The company uses the weighted$-$average method in its process costing system.

Required:

$1.$ Compute the Grinding Department's equivalent units of production for materials and conversion in May.

$2.$ Compute the Grinding Department's costs per equivalent unit for materials and conversion for May.

$3.$ Compute the Grinding Department's cost of ending work in process inventory for materials, conversion, and in total for May.

$4.$ Compute the Grinding Department's cost of units transferred out to the Mixing Department for materials, conversion, and in total for May.