In: Accounting
Schultz Electronics manufactures two ultra high-definition
television models: the Royale which sells for $1,480, and a new
model, the Majestic, which sells for $1,270. The production cost
computed per unit under traditional costing for each model in 2020
was as follows.
Traditional Costing |
Royale |
Majestic |
||
Direct materials |
$640 |
$430 |
||
Direct labor ($20 per hour) |
120 |
100 |
||
Manufacturing overhead ($39 per DLH) |
234 |
195 |
||
Total per unit cost |
$994 |
$725 |
In 2020, Schultz manufactured 25,000 units of the Royale and 10,000
units of the Majestic. The overhead rate of $39 per direct labor
hour was determined by dividing total estimated manufacturing
overhead of $7,887,400 by the total direct labor hours (200,000)
for the two models.
Under traditional costing, the gross profit on the models was
Royale $486 ($1,480 – $994) and Majestic $545 ($1,270 – $725).
Because of this difference, management is considering phasing out
the Royale model and increasing the production of the Majestic
model.
Before finalizing its decision, management asks Schultz’s
controller to prepare an analysis using activity-based costing
(ABC). The controller accumulates the following information about
overhead for the year ended December 31, 2020.
Activity |
Cost Drivers |
Estimated |
Estimated Use of |
Activity-Based |
||||
Purchasing | Number of orders | $1,209,000 | 39,000 | $31/order | ||||
Machine setups | Number of setups | 980,500 | 18,500 | $53/setup | ||||
Machining | Machine hours | 4,883,100 | 119,100 | $41/hour | ||||
Quality control | Number of inspections | 814,800 | 29,100 | $28/inspection |
The cost drivers used for each product were:
Cost Drivers |
Royale |
Majestic |
Total |
|||
Purchase orders | 17,000 | 22,000 | 39,000 | |||
Machine setups | 6,000 | 12,500 | 18,500 | |||
Machine hours | 74,000 | 45,100 | 119,100 | |||
Inspections | 11,000 | 18,100 | 29,100 |
Calculate cost per unit of each model using ABC costing.
(Round answers to 2 decimal places, e.g.
12.25.)
Answer)
Calculation of cost per Unit
Royal |
Majestic |
|
Direct Materials per unit |
$640.00 |
$430.00 |
Direct Labor per unit |
$120.00 |
$100.00 |
Manufacturing overheads per unit |
$167.48 |
$370.04 |
Total cost per unit |
$927.48 |
$900.04 |
Therefore cost per unit of Royal Television set is $ 927.48 per unit and Majestic Television set is $ 900.04 per unit.
Working Note:
Calculation of overhead cost per unit using Activity Based Costing
Cost pools |
Cost Drivers |
Activity rate |
Royal |
Majestic |
||
Activity Consumed |
Allocated overheads (In $) |
Activity Consumed |
Allocated overheads (In $) |
|||
Purchasing |
Number of orders |
$ 31 per order |
17,000 purchase orders |
527,000 |
22,000 purchase orders |
682,000 |
Machine Setups |
Number of setups |
$ 53 per setup |
6,000 Setups |
318,000 |
12,500 Setups |
662,500 |
Machining |
Machine hours |
$ 41 per hour |
74,000 machine hours |
3,034,000 |
45,100 machine hours |
1,849,100 |
Quality Control |
Number of inspections |
$ 28 per inspection |
11,000 Inspections |
308,000 |
18,100 Inspections |
506,800 |
Total Allocated overheads |
4,187,000 |
3,700,400 |
||||
Number of units Produced |
25,000 Units |
10,000 Units |
||||
Overhead cost per unit |
167.48 |
370.04 |