Q25E

Question

Complete the missing amounts in the following production report. Materials are added at the beginning of the process; conversion costs are incurred evenly; the ending inventory is 60% complete. The company uses the weighted-average method.




NATHAN COMPANY

Production Cost Report – Finishing Department

Month Ended September 30, 2018

Units


Physical units
Equivalent Units

Direct materials
Conversion costs

Units to account for:

 

 

 

 

  • Beginning work-in-process

500

 

 

 

  • Started in production

2,200

 

 

 

Total units to account for

(a)

 

 

 

 

 

 

 

 

Units accounted for:

 

 

 

 

  • Completed and transferred out

(b)

(d)

(g)

 

  • Ending work-in-process

500

(e )

(h)

 

Total units accounted for

(c)

(f)

(i)

 

 

 

 

 

 

COSTS

 

Direct materials

Conversion costs

Total costs

Cost to account for: 

 

 

 

 

  • Beginning work-in-process

 

\(1,200

(j)

\)2,140

  • Cost added during period

 

12,030

8,310

(k)

Total costs to account for

 

(l)

9,250

22,480

Divided by: Total EUP

 

(m)

(n)

 

Cost per equivalent unit

 

(o)

(p)

 

 

 

 

 

 

Costs accounted for:

 

 

 

 

  • Completed and transferred out

 

(q)

(r)

(s)

  • Ending work-in-process

 

(t)

(u)

(v)

Total cost accounted for

 

(w)

(x)

$22,480

Step-by-Step Solution

Verified
Answer

Letter

 

A

2,700 units

B

2,200 units

C

2,700 units

D

2,200 units

E

500 units

F

2,700 units

G

2,200 units

H

300 units

I

2,500 units

J

$940

K

$20,340

L

$13,230

M

2,700 units

N

2,500 units

O

$4.90

P

$3.70

Q

$10,780

R

$8,140

S

$18,920

T

$2,450

U

$1,110

V

$3,560

W

$13,230

X

$9,250

1Step-by-Step Solution: Step 1: Production Cost Report

A production cost report is prepared by the company's management using the process costing system to represent the total cost incurred while manufacturing the products. 

2Step 2: Calculation of letter (a) total units to account for

Total Units to account for=Beginning WIP units+Started in production                                       =500+2,200                                       =2,700

3Step 3: Calculation of letter (c) total units accounted for

The total units accounted for equals the total units to account for. Hence the total units accounted for is 2,700 units.

4Step 4: Calculation of letter (b) completed and transferred out units

Completed and transferred outunits=Total units accounted for-Ending WIP units                                                           =2,700-500                                                           =2,200

5Step 5: Calculation of letter (d) equivalent units of production of completed units for direct materials

EUP of Completed units for direct materials=Number of units×Completion%                                                                       =2,200×100%                                                                       =2,200

6Step 6: Calculation of letter (e) equivalent units of production of ending WIP for direct materials

EUP of ending WIP for direct materials=Number of units×Completion%                                                              =500×100%                                                              =500

7Step 7: Calculation of letter (f) equivalent units of production for direct materials

EUP for directmaterials=EUP of completed units+EUP of WIPunits                                     =2,200+500                                     =2,700

8Step 8: Calculation of letter (g) equivalent units of production of completed units for conversion cost

EUP of Completed units for conversion cost=Number of units×Completion%                                                                     =2,200×100%                                                                     =2,200


9Step 9: Calculation of letter (h) equivalent units of production of ending WIP for conversion cost


EUP of ending WIP for directmaterials=Number of units×Completion%                                                               =500×60%                                                                =300

10Step 10: Calculation of letter (i) equivalent units of production for conversion costs

EUP for conversion costs=EUP of completed units+EUP of WIPunits                                       =2,200+300                                       =2,500

11Step 11: Calculation of letter (j) Conversion cost of beginning WIP

Conversion costs of beginning WIP=Total costs to account for-Cost added during period                                                      =$9,250-$8,310                                   =$940

12Step 12: Calculation of letter (k) Total cost added during the period


Total   costs added   during the period=Direct material+Conversion costs                                   =$12,030+$8,310                   =$20,340

13Step 13: Calculation of letter (l) Total cost to account for direct material

Total cost to account for direct material=Beginning WIP+Costs added duringtheperiod                =$1,200+$12,030=$13,230

14Step 14: Calculation of letter (m) Total EUP for direct material

The total EUP for direct material equals the total units accounted for Direct material, which is 2,700 units.

15Step 15: Calculation of letter (n) Total cost to account for conversion costs

The total EUP for conversion costs equals the total units accounted for conversion costs, which is 2,500 units.

16Step 16: Calculation of letter (o) cost per equivalent units of direct materials

     Cost per   EUP  =Total cost to account for direct materialTotal EUP of direct material=$13,2302,700=$4.90

17Step 17: Calculation of letter (p) cost per equivalent units of conversion costs

               Cost per EUP= Total cost to account for conversion costsTotal EUP of conversion costs=$9,2502,500=$3.70

18Step 18: Calculation of letter (q) Cost accounted for completed and transferred out units for direct material

Cost of completed and transferred outunits=Completed and transferred out units×Cost per EUP         =2,200×$4.90=$10,780

19Step 19: Calculation of letter (r) Cost accounted for completed and transferred out units for conversion cost

Cost of completed and transferred outunits=Completed and transferred outunits×Cost per EUP           =2,200×$3.70=$8,140

20Step 20: Calculation of letter (s) Total cost of completed and transferred out units

Total Cost of completed and transferred outunits=Cost of Direct material+Cost of conversion cost                               =$10,780+$8,140              =$18,920

21Step 21: Calculation of letter (t) Cost accounted for Ending WIP units for direct material

Cost of  Ending WIP  =Ending WIP units×Cost per EUP      =500×$4.90=$2,450

22Step 22: Calculation of letter (u) Cost accounted for Ending WIP units for conversion costs

        Cost of Ending WIP for conversion costs  =Ending WIP units for conversion costs×Cost per EUP         =300×$3.70=$1,110

23Step 23: Calculation of letter (v) Total costs of ending WIP

Total cost of Ending WIP=Cost of direct material+Cost of conversion costs=$2,450+$1,110=$3,560

24Step 24: Calculation of letter (w) Total costs accounted for direct material

Total cost accounted for directmaterial=Cost of completed units+Ending WIP                                =$10,780+$2,450                =$13,230

25Step 25: Calculation of letter (x) Total costs accounted for conversion costs

Total cost accounted for conversion costs=Cost of completed units+Ending WIP                                   =$8,140+$1,110                  =$9,250