In: Accounting
Schultz Electronics manufactures two ultra high-definition television models: the Royale which sells for $1,530, and a new model, the Majestic, which sells for $1,320. The production cost computed per unit under traditional costing for each model in 2017 was as follows.
Traditional Costing |
Royale |
Majestic |
||
Direct materials |
$610 |
$410 |
||
Direct labor ($20 per hour) |
120 |
100 |
||
Manufacturing overhead ($40 per DLH) |
240 |
200 |
||
Total per unit cost |
$970 |
$710 |
In 2017, Schultz manufactured 25,000 units of the Royale and 10,000
units of the Majestic. The overhead rate of $40 per direct labor
hour was determined by dividing total expected manufacturing
overhead of $8,037,860 by the total direct labor hours (200,000)
for the two models.
Under traditional costing, the gross profit on the models was
Royale $560 ($1,530 – $970) and Majestic $610 ($1,320 – $710).
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, 2017.
Activity |
Cost Drivers |
Estimated |
Expected Use of |
Activity-Based |
||||
Purchasing | Number of orders | $1,280,000 | 40,000 | $32/order | ||||
Machine setups | Number of setups | 976,260 | 18,420 | $53/setup | ||||
Machining | Machine hours | 5,048,400 | 120,200 | $42/hour | ||||
Quality control | Number of inspections | 733,200 | 28,200 | $26/inspection |
The cost drivers used for each product were:
Cost Drivers |
Royale |
Majestic |
Total |
|||
Purchase orders | 16,800 | 23,200 | 40,000 | |||
Machine setups | 5,720 | 12,700 | 18,420 | |||
Machine hours | 74,700 | 45,500 | 120,200 | |||
Inspections | 10,200 | 18,000 | 28,200 |
a) Assign the total 2017 manufacturing overhead costs to the two
products using activity-based costing (ABC) and determine the
overhead cost per unit. (Round cost per unit to 2
decimal places, e.g. 12.25.)
Royale |
Majestic |
b) Calculate cost per unit of each model using ABC costing. (Round answers to 2 decimal places, e.g. 12.25.)
Royale |
Majestic |
c) Calculate gross profit of each model using ABC costing. (Round answers to 2 decimal places, e.g. 12.25.)
SOLUTION:
PARTICULARS | ROYALE | MAJESTIC |
Total Cost Assigned | $ 5,023,360 | $ 3,794,500 |
Cost per unit | $ 200.93 | $ 379.45 |
Total Cost per unit (ABC) | $ 930.93 | $ 889.45 |
Gross Margin per unit | $ 599.07 | $ 430.55 |
CALCULATIONS:
a) Computation of Total cost assigned (ABC costing) and Overhead Cost per unit :
For Royale
Activity | Activity Rate | Cost Drivers | Cost Assigned |
Purchasing | $ 32 | 16,800 | $ 537,600 |
Machine setups | $ 53 | 5,720 | $ 303,160 |
Machine Hours | $ 42 | 74,700 | $ 3,137,400 |
Inspections | $ 26 | 10,200 | $ 1,045,200 |
Total Cost Assigned | $ 5,023,360 | ||
No of units | 25,000 | ||
Cost per unit | $ 200.93 |
For Majestic
Activity | Activity Rate | Cost Drivers | Cost Assigned |
Purchasing | $ 32 | 23,200 | $ 742,400 |
Machine setups | $ 53 | 12,700 | $ 673,100 |
Machine Hours | $ 42 | 45,500 | $ 1,911,000 |
Inspections | $ 26 | 18,000 | $ 468,000 |
Total Cost Assigned | $ 3,794,500 | ||
No of units | 10,000 | ||
Cost per unit | $ 379.45 |
b) Computation of Cost per Unit (ABC):
Royale | Majestic | |
Direct Material | $ 610.00 | $ 410.00 |
Direct Labor | $ 120.00 | $ 100.00 |
Overhead Cost | $ 200.93 | $ 379.45 |
Total Cost per unit (ABC) | $ 930.93 | $ 889.45 |
c) Computaion of Gross Profit (ABC):
Royale | Majestic | |
Sale Price | 1,530 | 1,320 |
Cost per unit | (930.93) | (889.45) |
Gross Margin per unit | $ 599.07 | $ 430.55 |