Answer:
Total cost of the 113,000 units in beginning work in process is $282,628.58.
Step-by-step explanation:
Note: The data in the question are merged together. They are therefore sorted before answering question by presenting the complete question as follows:
He5-B9q Company operates two departments, the handling department and the packaging department. During May, the handling department reported the following information:
% complete % complete
units DM conversion
work in process, May 1 113,000 33% 48%
units started during May 201,000
work in process, May 31 169,000 74% 28%
The cost of beginning work in process and the costs added during May were as follows:
DM Conversion
work in process, May 1 $94,128 $59,904
costs added during May $418,986 $372,816
Calculate the total cost of the 113,000 units in beginning work in process using the FIFO process costing method.
Explanation of the answer is now provided as follows:
This total cost of the 113,000 units in beginning work in process using the FIFO process costing method calculated using the following 4 steps:
Step 1: Calculation of equivalent units
Particulars DM Conversion
To complete work in process, May 1:
113000*(1-33%) 75,710
113000*(1-48%) 58,760
Units started and completed (w.1) 88,000 88,000
Work in process, May 31:
169000*74% 125,060
169000*28% 47,320
Equivalent units 288,770 194,080
Step 2: Calculation of cost per equivalent units
Cost per Equivalent unit = Costs incurred during May / Equivalent units ....... (1)
Using equation (1), we have:
DM Cost per Equivalent unit = $418,986 / 288,770 = $1.45
Conversion Cost per Equivalent unit = $288,770 / 194,080 = $1.92
Step 3: Calculation of Total Cost to complete work in process, May 1
Cost to complete work in process, May 1 = To complete work in process, May 1 * Cost per Equivalent unit ................ (2)
Using equation (1), we have:
DM Cost to complete work in process, May 1 = 75,710.00 * $1.45 = $109,850.16
Conversion Cost to complete work in process, May 1 = 58,760 * $1.92 = $112,874.42
Total Cost to complete work in process, May 1 = DM Cost to complete work in process, May 1 + Conversion Cost to complete work in process, May 1 = $109,850.16 + $112,874.42 + $222,724.58
Step 4: Calculation of Total cost of the 113,000 units in beginning work in process
Total cost of the 113,000 units in beginning work in process = Work in process, May 1 + Cost to complete work in process, May 1 = $59,904 + $222,724.58 + $282,628.58
Workings:
w.1: Units started and completed = Units started during May - Work in process, May 1 = 201,000 - 113,000 = 88,000