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Smoky Mountain Corporation makes two types of hiking boots—the Xtreme and the Pa

ID: 2821088 • Letter: S

Question

Smoky Mountain Corporation makes two types of hiking boots—the Xtreme and the Pathfinder. Data concerning these two product lines appear below: Xtreme Pathfinder Selling price per unit $ 124.00 $ 88.00 Direct materials per unit $ 63.40 $ 53.00 Direct labor per unit $ 14.40 $ 8.00 Direct labor-hours per unit 1.8 DLHs 1.0 DLHs Estimated annual production and sales 23,000 units 70,000 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 $ 2,005,200 Estimated total direct labor-hours 111,400 DLHs Required: 1. Compute the product margins for the Xtreme and the Pathfinder products under the company’s traditional costing system. 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 Overhead Cost Expected Activity Activities and Activity Measures Xtreme Pathfinder Total Supporting direct labor (direct labor-hours) $ 712,960 41,400 70,000 111,400 Batch setups (setups) 504,000 230 190 420 Product sustaining (number of products) 740,000 1 1 2 Other 48,240 NA NA NA Total manufacturing overhead cost $ 2,005,200 Compute the product margins for the Xtreme and the Pathfinder products under the activity-based costing system. 3. Prepare a quantitative comparison of the traditional and activity-based cost assignments.

Explanation / Answer

Traditional costing method

overhead allocation

Particulars

Xtreme

Pathfinder

Total

Estimated annual Production (In units)

23000

70000

Direct Labour Hours Per unit

1.8

1

Total Direct Labour Hours

41400

70000

111400

Overhead Cost Allocation basis direct labour hours (Overhead / Total hours * Labor hours of model)

$745,200.00

$1,260,000.00

$2,005,200.00

Manufacturing overhead cost per unit (Allocated Overhead / Nos of units)

$32.40

$18.00

Computation of Product Margin

Particulars

Xtreme

Pathfinder

Total

Selling price per unit

$124.00

$88.00

Direct material per unit

$63.40

$53.00

Direct labor per unit

$14.40

$8.00

Manufacturing overhead cost per unit

$32.40

$18.00

Product Margin per unit

$13.80

$9.00

Nos of units sold

23000

70000

Total Margin(Product margin per unit*No.of unit sold)

$317,400.00

$630,000.00

$947,400.00

Activity based costing

Determination of activity rate for each activity & allocation of overhead

Activity

Estimated Overhead Cost

Activity Base

Usage of Activity Base

Activity Rate

Xtreme

Pathfinder

Usage

Allocated Costs

Usage

Allocated Costs

Supporting direct labor cost

$712,960.00

Direct Labor hours

111400

$6.40

41400

$264,960.00

70000

$448,000.00

Batch Setups

$504,000.00

Setups

420

$1,200.00

230

$276,000.00

190

$228,000.00

Product sustaining

$740,000.00

Number of products

2

$370,000.00

1

$370,000.00

1

$370,000.00

Other

$48,240.00

No allocation

Total

$2,005,200.00

$910,960.00

$1,046,000.00

No. of units

23000

70000

Allocated overhead per unit

$39.6070

$14.9429

Computation of Product Margin

Particulars

Xtreme

Pathfinder

Total

Selling price per unit

$124.00

$88.00

Direct material per unit

$63.40

$53.00

Direct labor per unit

$14.40

$8.00

Allocated Manufacturing overhead cost per unit

$39.6070

$14.9429

Product Margin per unit

$6.5930

$12.0571

No. of units sold

23000

70000

Total Margin (Product margin per unit * No. of unit sold)

$151,640.00

$844,000.00

$995,640.00

Quantity comparison of traditional cost assignment

Particulars

Xtreme

Pathfinder

Total

Amount

% of total Amount

Amount

% of total Amount

Amount

% of total Amount

Direct Material Cost

$1,458,200.00

57.53%

$3,710,000.00

67.09%

$5,168,200.00

64.09%

Direct Labor Cost

$331,200.00

13.07%

$560,000.00

10.13%

$891,200.00

11.05%

Manufacturing Overhead cost

$745,200.00

29.40%

$1,260,000.00

22.78%

$2,005,200.00

24.86%

Total

$2,534,600.00

$5,530,000.00

$8,064,600.00

Quantity comparison of Activity Based cost assignment

Particulars

Xtreme

Pathfinder

Total

Amount

% of total Amount

Amount

% of total Amount

Amount

% of total Amount

Direct Cost:

Material Cost

$1,458,200.00

54.00%

$3,710,000.00

69.79%

$5,168,200.00

64.47%

Labor Cost

$331,200.00

12.27%

$560,000.00

10.53%

$891,200.00

11.12%

Indirect Cost:

Supporting direct labor cost

$264,960.00

9.81%

$448,000.00

8.43%

$712,960.00

8.89%

Batch Setups

$276,000.00

10.22%

$228,000.00

4.29%

$504,000.00

6.29%

Product sustaining

$370,000.00

13.70%

$370,000.00

6.96%

$740,000.00

9.23%

Total Cost Assigned to Products

$2,700,360.00

$5,316,000.00

$8,016,360.00

Cost not assigned to products

$48,240.00

Total Cost

$8,064,600.00

overhead allocation

Particulars

Xtreme

Pathfinder

Total

Estimated annual Production (In units)

23000

70000

Direct Labour Hours Per unit

1.8

1

Total Direct Labour Hours

41400

70000

111400

Overhead Cost Allocation basis direct labour hours (Overhead / Total hours * Labor hours of model)

$745,200.00

$1,260,000.00

$2,005,200.00

Manufacturing overhead cost per unit (Allocated Overhead / Nos of units)

$32.40

$18.00

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