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Fullerton Aggregate processes raw shale into lightweight aggregate material. Thi

ID: 2425904 • Letter: F

Question

Fullerton Aggregate processes raw shale into lightweight aggregate material. This process requires heat treating shale and injecting it with fly ash as it passes through rotating kilns. The shale both expands and hardens in the process, and is ideally suited to road construction.

The following information is available for a recent period:

Beginning work in process on September 1 consisted of 75,000 tons that were 80% complete with respect to raw materials and 50% complete with respect to conversion costs.

Ending work in process on September 30 consisted of 60,000 tons that were 70% complete with respect to raw materials and 40% complete with respect to conversion costs.

860,000 tons of material were put into production, and 875,000 tons exited production. There is no spoilage or loss of tonnage in the production process.

Beginning work in process carried a total cost of $265,000, divided 40/20/40 with respect to direct material/direct labor/factory overhead. Additional costs incurred during the month were $3,000,000, divided 50% to direct material and the remainder on a 1:2 ratio between direct labor and factory overhead.

Using (a) the weighted average method and (b) the FIFO method, calculate:

Equivalent units

Cost per equivalent unit

Costs assigned to cost of goods manufactured and ending inventory.

Explanation / Answer

Equivalent units:

factoryoverhead

Cost of Direct Material incurred during the month = $1,500,000 and Per unit cost = $1,500,000 / 857000 = $1.75

Cost of Direct Labor incurred during the month = $500,000 and Per unit cost = $500,000 / 861500 = $0.58

Cost of Factory overhead incurred during the month= $1,000,000 and Per unit cost=$1,000,000 / 861500 = $1.16

Cost of goods manufactured = Opening WIP + Cost of goods introduced and completed - Closing WIP

= [15000 * 1.75 + 37500 (0.58 + 1.16)] + 800,000 * 3.49 + [42000 * 1.75 + 24000 (0.58 + 1.16)]

= 91500 + 2792000 +115260 = $2,998,760

Cost of ending Work in Process inventory = 42000 * 1.75 + 24000 (0.58 + 1.16) = $115,260

Units particulars Units Equivalent Units Direct Materials Direct Labor

factoryoverhead

75000 Opening Work in process 75000 15000 (20%) 37500 (50%) 37500 (50%) 860,000 Goods Introduced Goods introduced and Finished 800,000 800,000 (100%) 800,000 (100%) 800,000 (100%) (60000) Closing Work in process 60000 42000 (70%) 24000 (40%) 24000 (40%) 875,000 857,000 861,500 861,500