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Fogerty Company makes two products—titanium Hubs and Sprockets. Data regarding the two products follow: Direct Labor-Hours per Unit Annual Production Hubs 0.80 29,000 units Sprockets 0.40 45,000 units Additional information about the company follows: a. Hubs require $39 in direct materials per unit, and Sprockets require $12. b. The direct labor wage rate is $18 per hour. c. Hubs are more complex to manufacture than Sprockets and they require special processing. d. The company’s activity-based absorption costing system has the following activity cost pools: Estimated Expected Activity Activity Cost Pool (and Activity Measure) Overhead Cost Hubs Sprockets Total Machine setups (number of setups) $ 31,590 135 108 243 Special processing (machine-hours) $ 282,000 4,700 0 4,700 General factory (Direct labor-hours) $ 700,400 23,200 18,000 41,200 Required: 1. Compute the activity rate for each activity cost pool. 2. Compute the unit product cost for Hubs and Sprockets using activity-based absorption costing.

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Answer:

Fogerty Company

1. Computation of the Activity Rate for each Activity Cost Pool:

a. Machine setup = $31,590/243 = $130 per setup

b. Special processing = $282,000/4,700 = $60 per machine hour

c. General factory = $700,400/41,200 = $17 per direct labor hour

2. Computation of the Unit Product Cost, using activity-based absorption costing:

                                        Titanium Hubs         Sprockets

Direct materials                      $39.00                 $39.00

Direct labor                              $14.40                   $7.20

Overhead                                $23.93                   $7.11

Total unit cost                         $77.33                  $53.31

Explanation:

a) Data:

                                        Titanium Hubs         Sprockets

Direct Labor-Hours per Unit  0.80                     0.40

Annual Production                  29,000 units      45,000 units

Direct materials                       $39 per unit      $12 per unit

Direct labor wage rate is $18 per hour

Total direct labor hours         23,200 hours      18,000 hours

Direct labor cost                     $417,600             $324,000

Direct labor cost per unit         $14.40                  $7.20

Direct materials costs           $1,131,000            $540,000

Activity costing system for Overhead Costs:

                                                      Titanium Hubs    Sprockets      Total

Activity                           Costs          

Machine setups            

 (number of setups)     $31,590           135                108                243

Special processing

(machine hours)       $282,000         4,700                0                4,700

General factory

 (direct labor hours) $700,400      23,200            18,000          41,200

Activity Rate:

a. Machine setup = $31,590/243 = $130 per setup

b. Special processing = $282,000/4,700 = $60 per machine hour

c. General factory = $700,400/41,200 = $17 per direct labor hour

d) Determination of overhead per unit cost

                                        Titanium Hubs         Sprockets

Machine setup                   $17,550                     $14,040

Special processing         $282,000                 $0

General factory               $394,400                 $306,000

Total overhead               $693,950                 $320,040

Annual Production          29,000 units            45,000 units

Overhead cost per unit   $23.929                    $7.112

e) Activity-based costing system is a costing technique where costs are grouped into activity pools and the costs to be allocated to each product or service depends on its consumption from the activity pools involved.  The identification of activities in an organization is a way of explaining that costs are caused by activities and not by their nature or period incurred.

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