Question

The Sendai Co. Ltd. of Japan has budgeted costs in its various departments as follows for the coming year Factory Administrat
4. Suppose a job requires machine and labor time as follows: Machine- Hours 260 Direct Labor Hours Machining Department Assem
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Answer #1

1)

Factory Administration Custodial Services Personnel Maintenance Machining Assembly
Departmental cost before allocation $819840 $98337 $26358 $170555 $1126484 $618226
Allocations:
Factory Administration -819840 44520 54040 133280 168000 420000
Custodial Services -142857 11011 17446 85800 28600
Personnel -91409 17119 29716 44574
Maintenance -338400 211500 126900
Total cost after allocation $0 $0 $0 $0 $1621500 $1238300
Predetermined overhead rate $9.20 $6.10

Factory Administration

Total number of labor hours other than factory administration= 292800 labor hours

Custodial Services= $819840*15900/292800= $44520

Personnel= $819840*19300/292800= $54040

Maintenance= $819840*47600/292800= $133280

Machining= $819840*60000/292800= $168000

Assembly= $819840*150000/292800= $420000

Custodial Services

Total cost of Custodial Services= $98337+44520= $142857

Total square feet occupied of the other four departments= 7700+12200+60000+20000= 99900

Personnel= $142857*7700/99900= $11011

Maintenance= $142857*12200/99900= $17446

Machining= $142857*60000/99900= $85800

Assembly= $142857*20000/99900= $28600

Personnel

Total cost of Personnel= $26358+54040+11011= $91409

Total number of employees of the other three departments= 53+92+138= 283

Maintenance= $91409*53/283= $17119

Machining= $91409*92/283= $29716

Assembly= $91409*138/283= $44574

Maintenance

Total cost Maintenance= $170555+133280+17446+17119= $338400

Total number of machine hours of the other two departments= 282000

Machining= $338400*176250/282000= $211500

Assembly= $338400*105750/282000= $126900

Predetermined overhead rate

Machining= Total cost allocated/Number of machine hours

= $1621500/176250= $9.20

Assembly= Total cost allocated/Number of labor hours

= $1238300/203000= $6.10

2)

Factory Administration Custodial Services Personnel Maintenance Machining Assembly
Departmental cost before allocation $819840 $98337 $26358 $170555 $1126484 $618226
Allocations:
Factory Administration -819840 234240 585600
Custodial Services -98337 73753 24584
Personnel -26358 10543 15815
Maintenance -170555 106597 63958
Total cost after allocation $0 $0 $0 $0 $1551617 $1308183
Predetermined overhead rate

Factory Administration

Total labor hours of operating departments= 60000+150000= 210000

Machining = $819840*60000/210000= $234240

Assembly= $819840*150000/210000= $585600

Custodial Services

Total square feet occupied of operating departments= 60000+20000= 80000

Machining = $98337*60000/80000= $73753

Assembly= $98337*20000/80000= $24584

Personnel

Total number of employees of operating department= 92+138= 230

Machining = $26358*92/230= $10543

Assembly= $26358*138/230= $15815

Maintenance

Total number of machine hours of operating department= 176250+105750= 282000

Machining = $170555*176250/282000= $106597

Assembly= $170555*105750/282000= $63958

Predetermined overhead rate

Machining= = Total cost allocated/Number of machine hours

= $1551617/176250= $8.80

Assembly= Total cost allocated/Number of labor hours

= $1308183/203000= $6.44

3) Total direct labor hours= 321000 hours

Plantwide overhead rate= Total cost/Total direct labor hours

= $2859800/321000= $8.91

4) Step-down method

Machining= $9.20*260= $2392

Assembly= $6.10*84= $512.4

Direct method

Machining= $8.80*260= $2288

Assembly= $6.44*84= $540.96

Plantwide method= $8.91*116= $1033.56

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