Question

In: Accounting

Department P had the following information regarding equivalent units of production, which were determined using first-in-first-out...

Department P had the following information regarding equivalent units of production, which were determined using first-in-first-out process costing method:

                                                                                                            Equivalent Units of Production

  Units

Materials

Conversion

Completed and Transferred  (28,000 units):

    Work-in-process at the beginning

     Started and competed this period

Work-in-process at the end of the period

     8,000

   20,000

   14,000

       0

20,000

14,000

       4,000

     20,000

       8,400

    

Quantity Accounted for

     

  42,000

34,000

   32,400

The cost information is as follows:

Total Cost

Material Cost

Conversion Cost

Work-in-process beginning

$ 3,000,000

$  2,000,000

$1,000,000

Cost Added

$18,000,000

$10,500,000

$7,500,000

Required:

  1. What were the stages of completion of the work in process with respect to material and conversion cost at the beginning of this period? (Please show your computation)
  2. What were the stages of completion of the work in process with respect to material and conversion cost at the end of this period? (Please show your computation).
  3. Using the first-in-first-out process costing method, determine:(Please show your computations fully)  
  1. The cost of the 28,000 units completed and transferred; and
  2. The cost of work-in-process ending inventory.
  1. Assuming that the weighted average costing method had been used to compute the equivalent units of production by Department P, determine:
  1. What the equivalent units of production would have been for materials and conversion cost (Please show all your computations completely) and
  2. The cost per unit for materials and conversion.

Solutions

Expert Solution

FIFO
UNITS TO ACCOUNT FOR:
Beginning Work in Process units 8,000
Add: Units Started in Process 34,000
Total Units to account for: 42,000
UNITS TO BE ACCOUNTED FOR:
Units completed from Beginning WIP 8000
Units started and completed 20,000
Ending Work in Process 14,000
Total Units to be accounted for: 42,000
Equivalent Units:
Material Cost Conversion
% Completion Units % Completion Units
Units completed from Beg. WIP 60% 4,800 30% 2,400
Units started and completed 100% 20,000 100% 20,000
Ending Work in Process 100% 14,000 60% 8,400
Total Equivalent units 38,800 30,800
COST PER EQUIVALENT UNIT:
Material Conversion
Total cost added during the year 10,500,000 7,500,000
Equivalent Units 38,800 30,800
Cost per Equivalent unit 270.62 243.51
TOTAL COST ACCOUNTED FOR:
Units Completed from Beginning WIP (8000 units)
Equivalent unit Cost per EU Total Cost
Beginning Cost 3000000
Material 4,800 270.62 1298976
Conversion Cost 2,400 243.51 584424
Cost of units completed from Beg WIP 4883400
Units started and Transferred out (20000 units)
Equivalent unit Cost per EU Total Cost
Material 20,000 270.62 5412400
Conversion Cost 20,000 243.51 4870200
Total Cost of Units completed and transferred out: 10282600
Ending Work in process (14,000 units)
Equivalent unit Cost per EU Total Cost
Material 14,000 270.62 3788680
Conversison Cost 8,400 243.51 2045484
Total cost of Ending Work in process: 5,834,164
Cost of units transferred out: 15166000
Cost of ending inventory: 5,834,164
Weighted Average
UNITS TO ACCOUNT FOR:
Beginning Work in Process units 8,000
Add: Units Started in Process 34,000
Total Units to account for: 42,000
UNITS TO BE ACCOUNTED FOR:
Units started and completed 28,000
Ending Work in Process 14,000
Total Units to be accounted for: 42,000
Equivalent Units:
Material Cost Conversion
% Completion Units % Completion Units
Units started and completed 100% 28,000 100% 28,000
Ending Work in Process 100% 14,000 60% 8,400
Total Equivalent units 42,000 36,400
TOTAL COST TO ACCOUNT FOR:
Material Conversion
Beginning work in Process 2,000,000 1,000,000
Cost Added during May 10,500,000 7,500,000
Total Cost to account for: 12,500,000 8,500,000
Total Cost to account for: 21,000,000
COST PER EQUIVALENT UNIT:
Material Conversion
Total cost added during the year 12,500,000 8,500,000
Equivalent Units 42,000 36,400
Cost per Equivalent unit 297.62 233.52

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