Equivalent Units and Product Cost Report$-$Weighted Average Method

In its first month's operations, Allred Company's Department $1$ incurred charges of $$180,000$ for direct materials $(50,000$ units$),$ $$49,500$ for direct labor, and $$87,000$ for manufacturing overhead. At month$-$ end,

$44,000$ units had been finished and transferred out. The remaining units were finished with respect to material but only $25\%$ complete with respect to conversion costs.

Assuming Allred uses the weighted average method and that materials are added at the beginning of the process and conversion costs occur evenly, compute the following:

a$.$ The equivalent units of materials and conversion costs.

b$.$ The cost per equivalent unit of materials and conversion costs.

c$.$ The total cost assigned to the units transferred out.

d$.$ The total cost assigned to the ending inventory.

e$.$ Prove that your solutions to requirements $($c$)$ and $($d$)$ sum to the total costs to be accounted for.

Round average cost per equivalent unit to two decimal places, if applicable.

Round other answers to the nearest whole number, when appropriate.