In: Accounting
Hi-Tek Manufacturing, Inc., makes two types of industrial component parts—the B300 and the T500. An absorption costing income statement for the most recent period is shown:
Hi-Tek Manufacturing Inc. Income Statement |
|||
Sales | $ | 1,761,600 | |
Cost of goods sold | 1,235,745 | ||
Gross margin | 525,855 | ||
Selling and administrative expenses | 620,000 | ||
Net operating loss | $ | (94,145 | ) |
Hi-Tek produced and sold 60,300 units of B300 at a price of $21 per unit and 12,700 units of T500 at a price of $39 per unit. The company’s traditional cost system allocates manufacturing overhead to products using a plantwide overhead rate and direct labor dollars as the allocation base. Additional information relating to the company’s two product lines is shown below:
B300 | T500 | Total | ||||
Direct materials | $ | 400,000 | $ | 162,000 | $ | 562,000 |
Direct labor | $ | 121,000 | $ | 42,300 | 163,300 | |
Manufacturing overhead | 510,445 | |||||
Cost of goods sold | $ | 1,235,745 | ||||
The company has created an activity-based costing system to evaluate the profitability of its products. Hi-Tek’s ABC implementation team concluded that $56,000 and $104,000 of the company’s advertising expenses could be directly traced to B300 and T500, respectively. The remainder of the selling and administrative expenses was organization-sustaining in nature. The ABC team also distributed the company’s manufacturing overhead to four activities as shown below:
Manufacturing Overhead |
Activity | |||||
Activity Cost Pool (and Activity Measure) | B300 | T500 | Total | |||
Machining (machine-hours) | $ | 201,085 | 90,900 | 62,600 | 153,500 | |
Setups (setup hours) | 148,260 | 73 | 280 | 353 | ||
Product-sustaining (number of products) | 100,600 | 1 | 1 | 2 | ||
Other (organization-sustaining costs) | 60,500 | NA | NA | NA | ||
Total manufacturing overhead cost | $ | 510,445 | ||||
Required:
1. Compute the product margins for the B300 and T500 under the company’s traditional costing system.
2. Compute the product margins for B300 and T500 under the activity-based costing system.
3. Prepare a quantitative comparison of the traditional and activity-based cost assignments.
2.
ompute the product margins for B300 and T500 under the activity-based costing system. (Negative product margins should be indicated by a minus sign. Round your intermediate calculations to 2 decimal places.)
|
3.
Prepare a quantitative comparison of the traditional and activity-based cost assignments. (Round your intermediate calculations to 2 decimal places and "Percentage" answers to 1 decimal place and and other answers to the nearest whole dollar amounts.)
|
Intermediate answer rounded off to 2 decimal places.
Total manufacturing overhead cost |
$510445 |
Total Direct Labor Dollars |
$163300 |
Overhead per DL $ |
$3.13 |
Allocation and product margin
Working |
B300 |
T500 |
Total |
|
A |
Direct material |
400000 |
162000 |
562000 |
B |
Direct labor |
121000 |
42300 |
163300 |
C(calculated above) |
Overhead per DL $ |
3.13 |
3.13 |
3.13 |
D=BxC |
Overhead allocated |
378730 |
132399 |
511129 |
E=A+B+C+D |
Total cost |
899730 |
336699 |
1236429 |
F |
Units |
60300 |
12700 |
73000 |
G |
SP per unit |
21 |
39 |
|
H=FxG |
Sales Revenue |
1266300 |
495300 |
1761600 |
I=H-E |
Product margin |
$366570 |
$158601 |
$525171 |
Activity Rates calculation
Manufacturing |
Activity |
||||
Activity Cost Pool (and Activity Measure) |
Overhead (A)-$ |
B300 |
T500 |
Total (B) |
Activity Rate (A/B) - $ |
Machining (machine-hours) |
201085 |
90900 |
62600 |
153500 |
1.31 |
Setups (setup hours) |
148260 |
73 |
280 |
353 |
420 |
Product-sustaining (number of products) |
100600 |
1 |
1 |
2 |
50300 |
Other (organization-sustaining costs) |
60500 |
NA |
NA |
NA |
NA |
Total manufacturing overhead cost |
$510445 |
Allocation using Activity rates
Manufacturing |
B300 |
|||
Activity Cost Pool (and Activity Measure) |
Overhead |
Activity Rate (A) |
No. of activity (B) |
Cost Allocated (AxB) |
Machining (machine-hours) |
201085 |
1.31 |
90900 |
119079 |
Setups (setup hours) |
148260 |
420 |
73 |
30660 |
Product-sustaining (number of products) |
100600 |
50300 |
1 |
50300 |
Other (organization-sustaining costs) |
60500 |
NA |
||
Total manufacturing overhead cost |
510445 |
$200039 |
Manufacturing |
T500 |
||||||
Activity Cost Pool (and Activity Measure) |
Overhead |
Activity Rate (A) |
No. of activity (B) |
Cost Allocated (AxB) |
|||
Machining (machine-hours) |
201085 |
1.31 |
62600 |
82006 |
|||
Setups (setup hours) |
148260 |
420 |
280 |
117600 |
|||
Product-sustaining (number of products) |
100600 |
50300 |
1 |
50300 |
|||
Other (organization-sustaining costs) |
60500 |
NA |
|||||
Total manufacturing overhead cost |
510445 |
$249906 |
|||||
Product Margin calculation
Working |
B300 |
T500 |
Total |
||
A |
Direct material |
400000 |
162000 |
562000 |
|
B |
Direct labor |
121000 |
42300 |
163300 |
|
C (as above) |
Overhead allocated |
200039 |
249906 |
449945 |
|
D |
Advertising cost traceable |
56000 |
104000 |
160000 |
|
E=A+B+C+D |
Total cost |
777039 |
558206 |
1335245 |
|
F |
Units |
60300 |
12700 |
73000 |
|
G |
SP per unit |
21 |
39 |
||
H=FxG |
Sales Rvenue |
1266300 |
495300 |
1761600 |
|
I=H-E |
Product margin (loss) |
$489261 |
$(62906) |
$426355 |
B300 |
T500 |
Total |
|||
Amount $ |
% of |
Amount $ |
% of |
Amount $ |
|
Traditional Cost System |
|||||
Direct materials |
400000 |
44.46% |
162000 |
48.11% |
562000 |
Direct labor |
121000 |
13.45% |
42300 |
12.56% |
163300 |
Manufacturing overhead |
378730 |
42.09% |
132399 |
39.32% |
511129 |
Total cost assigned to products |
899730 |
100.00% |
336699 |
100.00% |
1236429 |
Selling and administrative |
620000 |
||||
Total cost |
899730 |
100.00% |
336699 |
100.00% |
1856429 |
B300 |
T500 |
Total |
|||
% of |
% of |
||||
Amount $ |
Total Amount |
Amount $ |
Total Amount |
Amount $ |
|
Activity-Based Costing System |
|||||
Direct costs: |
|||||
Direct materials |
400000 |
51.48% |
162000 |
29.02% |
562000 |
Direct labor |
121000 |
15.57% |
42300 |
7.58% |
163300 |
Advertising expense |
56000 |
7.21% |
104000 |
18.63% |
160000 |
Indirect costs: |
|||||
Machining |
119079 |
15.32% |
82006 |
14.69% |
201085 |
Setups |
30660 |
3.95% |
117600 |
21.07% |
148260 |
Product sustaining |
50300 |
6.47% |
50300 |
9.01% |
100600 |
Total cost assigned to products |
777039 |
100.00% |
558206 |
100.00% |
1335245 |
Costs not assigned to products: |
|||||
Other (sustaining cost) |
60500 |
||||
Selling and administrative |
460000 |
||||
Total cost |
$777039 |
100.00% |
$558206 |
100.00% |
$1855745 |