In: Accounting
This problem illustrates how costs of two corporate support departments are allocated to operating divisions using a dual-rate method. Fixed costs are allocated using budgeted costs and budgeted hours used by other departments. Variable costs are allocated using actual costs and actual hours used by other departments.
Seth Gross Horizons budgets the following amounts for its two central corporate support departments (legal and personnel) in supporting each other and the two manufacturing divisions, the Laptop Division (LTD) and the Work Station (WSD):
Legal Department |
Personnel Department |
LTD |
WSD |
Total |
||
Budgeted Usage |
||||||
Legal (hours) |
- |
250 |
1,500 |
750 |
2,500 |
|
Personnel (hours) |
2,500 |
- |
22,500 |
25,000 |
50,000 |
|
Actual Usage |
||||||
Legal (hours) |
- |
400 |
400 |
1,200 |
2,000 |
|
Personnel (hours) |
2,000 |
- |
26,600 |
11,400 |
40,000 |
|
Budgeted fixed Overhead |
$360,000 |
$475,000 |
- |
- |
$835,000 |
|
Actual variable Overhead |
$200,000 |
$600,000 |
- |
- |
$800,000 |
Required:
1. What amount of support-department costs for legal and personnel will be allocated to LTD and WSD using (a) the direct method, (b) the step-down method, and (c) the reciprocal method? Must be done in Excel.
2. Comment on your results.
a) | Direct method: | |||||||||
Legal Department |
Personnel Department |
LTD | WSD | Total | ||||||
Fixed overhead | 360000 | 475000 | ||||||||
Legal | (1500/2250,750/2250) | -360000 | 240000 | 120000 | ||||||
Personnel | (22500/47500,25000/47500) | -475000 | 225000 | 250000 | ||||||
Cost allocated | 0 | 0 | 465000 | 370000 | 835000 | |||||
Variable overhead | 200000 | 600000 | ||||||||
Legal | (400/1600,1200/1600) | -200000 | 50000 | 150000 | ||||||
Personnel | (26600/38000,11400/38000) | -600000 | 420000 | 180000 | ||||||
Cost allocated | 0 | 0 | 470000 | 330000 | 800000 | |||||
b) | Step down method: | |||||||||
Legal Department |
Personnel Department |
LTD | WSD | Total | ||||||
Fixed overhead | 360000 | 475000 | ||||||||
Legal | (250/2500,1500/2500,750/2500) | -360000 | 36000 | 216000 | 108000 | |||||
Personnel | (22500/47500,25000/47500) | -511000 | 242053 | 268947 | ||||||
Cost allocated | 0 | 0 | 458053 | 376947 | 835000 | |||||
Variable overhead | 200000 | 600000 | ||||||||
Legal | (400/2000,400/2000,1200/2000) | -200000 | 40000 | 40000 | 120000 | |||||
Personnel | (26600/38000,11400/38000) | -640000 | 448000 | 192000 | ||||||
Cost allocated | 0 | 0 | 488000 | 312000 | 800000 | |||||
c) | Reciprocal method: | |||||||||
Legal Department |
Personnel Department |
LTD | WSD | Total | ||||||
Fixed overhead | 360000 | 475000 | ||||||||
Legal | (250/2500,1500/2500,750/2500) | -385678 | 38568 | 231407 | 115703 | |||||
Personnel | (2500/50000,22500/50000,25000/50000) | 25678 | -513568 | 231106 | 256784 | |||||
Cost allocated | 0 | 0 | 462512 | 372487 | 835000 | |||||
Variable overhead | 200000 | 600000 | ||||||||
Legal | (400/2000,400/2000,1200/2000) | -232323 | 46465 | 46465 | 139394 | |||||
Personnel | (2000/40000,26600/40000,11400/40000) | 32323 | -646465 | 429899 | 184243 | |||||
Cost allocated | 0 | 0 | 476364 | 323636 | 800000 | |||||
Notes: | ||||||||||
Reciprocal method: | ||||||||||
Let legal department cost be x | ||||||||||
Let personnel department cost be y | ||||||||||
Fixed overhead allocation: | ||||||||||
x=360000+(2500/50000)*y | ||||||||||
x=360000+0.05y……………… (1) | ||||||||||
y=475000+(250/2500)*x | ||||||||||
y=475000+0.10x………………(2) | ||||||||||
Apply (2) in (1) | ||||||||||
x=360000+0.05*(475000+0.10x) | ||||||||||
x=385678 | ||||||||||
y=475000+0.10*385678=513568 | ||||||||||
Variable overhead allocation: | ||||||||||
x=200000+(2000/40000)*y | ||||||||||
x=200000+0.05y……………… (1) | ||||||||||
y=600000+(400/2000)*x | ||||||||||
y=600000+0.20x………………(2) | ||||||||||
Apply (2) in (1) | ||||||||||
x=200000+0.05*(600000+0.20x) | ||||||||||
x=232323 | ||||||||||
y=600000+0.20*232323=646465 | ||||||||||
2 | For LTD | |||||||||
Fixed | Variable | Total | ||||||||
Direct method | 465000 | 470000 | 935000 | |||||||
Step-Down method | 458053 | 488000 | 946053 | |||||||
Reciprocal method | 462513 | 476364 | 938877 | |||||||
For WSD | ||||||||||
Fixed | Variable | Total | ||||||||
Direct method | 370000 | 330000 | 700000 | |||||||
Step-Down method | 376947 | 312000 | 688947 | |||||||
Reciprocal method | 372487 | 323636 | 696123 | |||||||
For LTD,Higher cost is under step down method.Lower cost under Direct method | ||||||||||
For WSD,Higher cost is under Direct method.Lower cost under step down method | ||||||||||