In: Accounting
Smoky Mountain Corporation makes two types of hiking
boots—Xtreme and the Pathfinder. Data concerning these two product
lines appear below:   
| 
 Xtreme  | 
 Pathfinder  | 
||||||
| 
 Selling price per unit  | 
 $  | 
 138.00  | 
 $  | 
 90.00  | 
|||
| 
 Direct materials per unit  | 
 $  | 
 64.40  | 
 $  | 
 51.00  | 
|||
| 
 Direct labor per unit  | 
 $  | 
 13.50  | 
 $  | 
 9.00  | 
|||
| 
 Direct labor-hours per unit  | 
 1.5  | 
 DLHs  | 
 1.0  | 
 DLHs  | 
|||
| 
 Estimated annual production and sales  | 
 22,000  | 
 units  | 
 73,000  | 
 units  | 
|||
The company has a traditional costing system in which manufacturing
overhead is applied to units based on direct labor-hours. Data
concerning manufacturing overhead and direct labor-hours for the
upcoming year appear below:    
| 
 Estimated total manufacturing overhead  | 
 $  | 
 2,438,000  | 
||
| 
 Estimated total direct labor-hours  | 
 106,000  | 
 DLHs  | 
||
Required:
1. Compute the product margins for the Xtreme and the Pathfinder products under the company’s traditional costing system. (Do not round your intermediate calculations.)
  | 
2. The company is considering replacing its traditional costing
system with an activity-based costing system that would assign its
manufacturing overhead to the following four activity cost pools
(the Other cost pool includes organization-sustaining costs and
idle capacity costs):   
   .
| 
 Estimated  | 
 Activity  | 
||||||||||||
| 
 Activities and Activity Measures  | 
 Overhead Cost  | 
 Xtreme  | 
 Pathfinder  | 
 Total  | 
|||||||||
| 
 Supporting direct labor (direct labor-hours)  | 
 $  | 
 646,600  | 
 33,000  | 
 73,000  | 
 106,000  | 
||||||||
| 
 Batch setups (setups)  | 
 969,000  | 
 330  | 
 240  | 
 570  | 
|||||||||
| 
 Product sustaining (number of products)  | 
 780,000  | 
 1  | 
 1  | 
 2  | 
|||||||||
| 
 Other  | 
 42,400  | 
 NA  | 
 NA  | 
 NA  | 
|||||||||
| 
 Total manufacturing overhead cost  | 
 $  | 
 2,438,000  | 
|||||||||||
Compute the product margins for the Xtreme and the Pathfinder
products under the activity-based costing system. (Negative
product margins should be indicated with a minus sign. Round your
intermediate calculations to 2 decimal places.)
  | 
|||||||||
| 
 Xtreme  | 
 Pathfinder  | 
 Total  | 
|||||
| 
 % of  | 
 % of  | 
||||||
| 
 Amount  | 
 Total Amount  | 
 Amount  | 
 Total Amount  | 
 Amount  | 
|||
| 
 Traditional Cost System  | 
|||||||
| 
 %  | 
 %  | 
||||||
| 
 %  | 
 %  | 
||||||
| 
 %  | 
 %  | 
||||||
| 
 Total cost assigned to products  | 
 $0  | 
 $0  | 
 0  | 
||||
3. Prepare a quantitative comparison of the traditional and activity-based cost assignments. (Do not round intermediate calculations. Round your "Percentage" answer to 1 decimal place. (i.e. .1234 should be entered as 12.3))
| 
 Xtreme  | 
 Pathfinder  | 
 Total  | 
|||||
| 
 % of  | 
 % of  | 
||||||
| 
 Amount  | 
 Total Amount  | 
 Amount  | 
 Total Amount  | 
 Amount  | 
|||
| 
 Activity-Based Costing System  | 
|||||||
| 
 Direct costs:  | 
|||||||
| 
 %  | 
 %  | 
||||||
| 
 %  | 
 %  | 
||||||
| 
 Indirect costs:  | 
|||||||
| 
 %  | 
 %  | 
||||||
| 
 %  | 
 %  | 
||||||
| 
 %  | 
 %  | 
||||||
| 
 Total cost assigned to products  | 
 $0  | 
 $0  | 
 $0  | 
||||
| 
 Costs not assigned to products:  | 
|||||||
| 
 Total cost  | 
 $0  | 
||||||
| Computation of Overhead Recovery Rate | |
| Estimated total manufacturing overhead | $2,438,000.00 | 
| Estimated total direct labor-hours (In DLH) | 106000 | 
| Manufacturing Overhead per DLH | $23.00 | 
| 1. Computation of product Margin | ||
| Xtreme | Pathfinder | |
| Selling price per unit | $138.00 | $90.00 | 
| Less: Direct materials per unit | $64.40 | $51.00 | 
| Direct labor per unit | $13.50 | $9.00 | 
| MOH per unit (1.5 DLHX$23) (1DLHX$23) | $34.50 | $23.00 | 
| Product margin | $25.60 | $7.00 | 
| W/NoteComputation of per Activity Overhead and allocation of Overhead on Product | |||||||
| Estimated | Expected Activity | Per activity overhead | Allocation of Overhead | ||||
| Activities and activity measures | Overhead Cost | Xtreme | Pathfinder | Total | Xtreme | Pathfinder | |
| Supporting Direct labor(DLH) | 646600 | 33000 | 73000 | 106000 | 6.1 | 201300 | 445300 | 
| Batch Setups(Setups) | 969000 | 330 | 240 | 570 | 1700 | 561000 | 408000 | 
| Product Sustaining(numberof products) | 780000 | 1 | 1 | 2 | 390000 | 390000 | 390000 | 
| Other | 42400 | NA | NA | NA | NA | ||
| Total manufacturing overhead cost | 2438000 | 1152300 | 1243300 | ||||
| No. of Unit | 22000 | 73000 | |||||
| Manufacturing Overhead Per Unit | 52.38 | 17.03 | |||||
| 2. Computation of Product margin on Activty based costing system | ||
| Xtreme | Pathfinder | |
| Selling price per unit | $138.00 | $90.00 | 
| Less: Direct materials per unit | $64.40 | $51.00 | 
| Direct labor per unit | $13.50 | $9.00 | 
| MOH per unit | $52.38 | $17.03 | 
| Product margin | $7.72 | $12.97 | 
| Requirement -3 | |||||
| Xtreme | Pathfinder | Total | |||
| % of | % of | ||||
| Amount | Total Amount | Amount | Total Amount | Amount | |
| Traditional cost system | |||||
| Direct Material | $3,036,000 | 0.58 | $3,723,000 | 0.61 | $6,759,000 | 
| Direct Labor | $1,416,800 | 0.27 | $657,000 | 0.11 | $2,073,800 | 
| manufacturing overhead | $759,000 | 0.15 | $1,679,000 | 0.28 | $2,438,000 | 
| Total cost assigned to products | $5,211,800 | 1.00 | $6,059,000 | 1.00 | $11,270,800 | 
| Requirement -4 | |||||
| Xtreme | Pathfinder | Total | |||
| % of | % of | ||||
| Amount | Total Amount | Amount | Total Amount | Amount | |
| Activity based costing system | |||||
| Direct cost: | |||||
| Direct Material | $3,036,000 | 0.54 | $3,723,000 | 0.66 | $6,759,000 | 
| Direct Labor | $1,416,800 | 0.25 | $657,000 | 0.12 | $2,073,800 | 
| Indirect cost: | |||||
| manufacturing overhead | $1,152,360 | 0.21 | $1,243,190 | 0.22 | $2,395,550 | 
| Total cost assigned to products | $5,605,160 | 1.00 | $5,623,190 | 1.00 | $11,228,350 | 
| Cost not assigned to products | $42,400 | ||||
| Total cost | $11,270,750 | ||||