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 | $ | 1,641,000 | |
Cost of goods sold | 1,245,234 | ||
Gross margin | 395,766 | ||
Selling and administrative expenses | 610,000 | ||
Net operating loss | $ | (214,234 | ) |
Hi-Tek produced and sold 60,300 units of B300 at a price of $19 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 | $ | 400,600 | $ | 162,500 | $ | 563,100 |
Direct labor | $ | 120,000 | $ | 43,000 | 163,000 | |
Manufacturing overhead | 519,134 | |||||
Cost of goods sold | $ | 1,245,234 | ||||
The company has created an activity-based costing system to evaluate the profitability of its products. Hi-Tek’s ABC implementation team concluded that $54,000 and $105,000 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) | $ | 207,264 | 90,200 | 62,200 | 152,400 | |
Setups (setup hours) | 150,070 | 79 | 270 | 349 | ||
Product-sustaining (number of products) | 101,000 | 1 | 1 | 2 | ||
Other (organization-sustaining costs) | 60,800 | NA | NA | NA | ||
Total manufacturing overhead cost | $ | 519,134 | ||||
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.
Cost allocation and margins based on traditional costing:
B300 |
T500 |
Total |
||||
Direct materials |
$ |
4,00,600 |
$ |
1,62,500 |
$ |
5,63,100 |
Direct labor |
$ |
1,20,000 |
$ |
43,000 |
$ |
1,63,000 |
Manufacturing overhead |
382185 |
$ |
1,36,949 |
$ |
5,19,134 |
|
Cost of goods sold |
9,02,785 |
3,42,449 |
$ |
12,45,234 |
||
Sales |
11,45,700 |
4,95,300 |
16,41,000 |
|||
Gross Margins |
2,42,915 |
1,52,851 |
3,95,766 |
Cost allocation and margins based on Activity based costing:
Manufacturing |
Activity |
Allocation |
|||||||
Activity Cost Pool (and Activity Measure) |
Overhead |
B300 |
T500 |
Total |
B300 |
T500 |
Total |
||
Machining (machine-hours) |
$ |
2,07,264 |
90,200 |
62,200 |
1,52,400 |
1,22,672 |
84,592 |
2,07,264 |
|
Setups (setup hours) |
1,50,070 |
79 |
270 |
349 |
33,970 |
1,16,100 |
1,50,070 |
||
Product-sustaining (number of products) |
1,01,000 |
1 |
1 |
2 |
50,500 |
50,500 |
1,01,000 |
||
Other (organization-sustaining costs) |
60,800 |
1,20,000 |
43,000 |
1,63,000 |
44,761 |
16,039 |
60,800 |
||
Total manufacturing overhead cost |
$ |
5,19,134 |
2,51,903 |
2,67,231 |
5,19,134 |
||||
Direct materials |
4,00,600 |
1,62,500 |
8,31,004 |
||||||
Direct labor |
1,20,000 |
43,000 |
1,63,000 |
||||||
Cost of goods sold |
7,72,503 |
4,72,731 |
12,45,234 |
||||||
Sales |
11,45,700 |
4,95,300 |
16,41,000 |
||||||
Gross Margins |
3,73,197 |
22,569 |
3,95,766 |
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