In its first month's operations (January 2019), Allred Company's Department 1 incurred charges of \($120,000\) for direct materials (10,000 units), \($33,000\) for direct labor, and \($58,000\) for manufacturing overhead. At month-end, 8,800 units had been finished and transferred out. The remaining units were finished with respect to materials but only 25% complete with respect to conversion costs. Assuming Allred uses the FIFO method and that materials are added at the beginning of the process and conversion costs occur evenly, compute the following:

a. The equivalent units for material and conversion.

b. The cost per equivalent unit for materials and conversion. 

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.