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Required: 1. Compute the product margins for the Xtreme and the Pathfinder products under the companys traditional costing sRequired: 1. Compute the product margins for the Xtreme and the Pathfinder products under the companys traditional costing sSmoky Mountain Corporation makes two types of hiking boots-the Xtreme and the Pathfinder. Data concerning these two product lRequired 1 Required 2 Required 3 Prepare a quantitative comparison of the traditional and activity-based cost assignments. (R

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1. Product margins for the Xtreme and the Pathfinder products under the company’s traditional costing system.
Xtreme Pathfinder Total
Product margin       [Refer working note 1] $464,000 $304,000 $768,000
2. Product margins for the Xtreme and the Pathfinder products under the company’s activity-based costing system.
Xtreme Pathfinder Total
Product margin      [Refer working note 7] $268,700 $539,200 $807,900

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3. Quantitative comparison of the traditional and activity-based cost assignments     [Refer working note 10]
Xtreme Pathfinder Total
% of % of
Amount Total amount Amount Total amount Amount
Traditional Cost System
   Direct material $1,856,000 32.0% $3,952,000 68.0% $5,808,000
   Direct labor $348,000 36.4% $608,000 63.6% $956,000
   Manufacturing overhead       $696,000 36.4% $1,216,000 63.6% $1,912,000
Total costs assigned to products $2,900,000 $5,776,000 $8,676,000
Xtreme Pathfinder Total
% of % of
Amount Total amount Amount Total amount Amount
Activity Based Costing System
Direct costs:
   Direct material $1,856,000 32.0% $3,952,000 68.0% $5,808,000
   Direct labor $348,000 36.4% $608,000 63.6% $956,000
Indirect costs:  
   Supporting direct labor         [Refer working note 8] $252,300 36.4% $440,800 63.6% $693,100
   Batch setups                          [Refer working note 8] $319,000 59.2% $220,000 40.8% $539,000
   Product sustaining                 [Refer working note 8] $320,000 50.0% $320,000 50.0% $640,000
Total costs assigned to products $3,095,300 $5,540,800 $8,636,100
Costs not assigned to products
   Other               [Mentioned in question] $39,900
Total cost            [$8,636,100 + $39,900] $8,676,000

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Working note 1 - Calculation of profit margin under the company’s traditional costing system
Xtreme Pathfinder
Sales revenue                                                                    [Refer working note 2] $3,364,000 $6,080,000
Less: Total direct material cost                                       [Refer working note 3] $1,856,000 $3,952,000
Less: Total direct labor cost                                            [Refer working note 4] $348,000 $608,000
Less: Manufacturing overhead allocated or applied         [Refer working note 5] $696,000 $1,216,000
Product margin $464,000 $304,000

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Working note 2 - Calculation of total sales revenue
Xtreme Pathfinder
Selling price per unit                                  (a) $116 $80
Number of units produced / Sold                (b)                      29,000                76,000
Total sales revenue                                   (a x b) $3,364,000 $6,080,000

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Working note 3 - Calculation of total direct material cost
Xtreme Pathfinder
Direct material cost per unit              (a) $64 $52
Number of units produced / Sold               (b)                      29,000                76,000
Total direct material cost                 (a x b) $1,856,000 $3,952,000

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Working note 4 - Calculation of total direct labor cost
Xtreme Pathfinder
Direct labor cost per unit                      (b) $12 $8
Number of units produced                      (b)                      29,000                76,000
Total direct labor cost                    (a x b) $348,000 $608,000

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Working note 5 - Calculation of overhead cost allocated to each product
Xtreme Pathfinder
Actual number of direct labor hours                               (a)                      43,500                76,000
Predetermined overhead rate [refer working note 6]     (b) $16 $16
Overhead assigned                                                        (a x b) $696,000 $1,216,000

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Working note 6 - Calculation of predetermined overhead rate
Estimated total manufacturing overhead       (a) $1,912,000
Estimated total direct labor hours                (b)                                   119,500
Predetermined overhead rate                     (a / b) $16.00 per direct labor hour

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Working note 7 - Calculation of profit margin under the company’s activity based costing system.
Xtreme Pathfinder
Sales revenue                                                                    [Refer working note 2] $3,364,000 $6,080,000
Less: Total direct material cost                                       [Refer working note 3] $1,856,000 $3,952,000
Less: Total direct labor cost                                            [Refer working note 4] $348,000 $608,000
Less: Manufacturing overhead allocated or applied         [Refer working note 8] $891,300 $980,800
Product margin $268,700 $539,200

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Working note 8 - Allocation of Estimated Overhead to both the products using activity rates:
Activities and Activity Measures Activity Rate

[Refer working note 9]
Xtreme Pathfinder
Total expected activity Allocation Total expected activity Allocation
(a) (b) (a x b) (c) (a x c)
Supporting direct labor $5.80 per direct labor hour      43,500 direct labor-hours $252,300      76,000 direct labor-hours $440,800
Batch setups $1,100.00 per setup           290 setups $319,000           200 setups $220,000
Product sustaining $320,000.00 per product               1 $320,000               1 number of products $320,000
Total overhead allocated $891,300 $980,800

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Working note 9 - Calculation of Activity rate
Activities and Activity Measures Estimated overhead cost Total expected activity Activity rate
(a) (b) ( a / b)
Supporting direct labor $693,100        119,500 direct labor-hours $5.80 per direct labor hour
Batch setups $539,000               490 setups $1,100.00 per setup
Product sustaining $640,000                   2 Products $320,000.00 per product

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Working note 10 - Computation of % of total amount
Traditional Cost System:
Total amount Xtreme Pathfinder
Amount % of Total amount Amount % of Total amount
(a) (b) (b/a) x 100 (c) (c/a) x 100
   Direct material $5,808,000 $1,856,000 31.96% $3,952,000 68.04%
   Direct labor $956,000 $348,000 36.40% $608,000 63.60%
   Manufacturing overhead       $1,912,000 $696,000 36.40% $1,216,000 63.60%
Activity Based Costing System:
Total amount Xtreme Pathfinder
Amount % of Total amount Amount % of Total amount
(a) (b) (b/a) x 100 (c) (c/a) x 100
Direct costs:
   Direct material $5,808,000 $1,856,000 31.96% $3,952,000 68.04%
   Direct labor $956,000 $348,000 36.40% $608,000 63.60%
Indirect costs:  
   Supporting direct labor         [Refer working note 8] $693,100 $252,300 36.40% $440,800 63.60%
   Batch setups                          [Refer working note 8] $539,000 $319,000 59.18% $220,000 40.82%
   Product sustaining                 [Refer working note 8] $640,000 $320,000 50.00% $320,000 50.00%

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