Lillich, Inc., manufactures and sells two products: Product U6 and Product R5. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below: Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours Product U6 690 8.9 6,141 Product R5 1,060 5.9 6,254 Total direct labor-hours 12,395 The direct labor rate is $28.00 per DLH. The direct materials cost per unit for each product is given below: Direct Materials
Cost per Unit
Product U6$250.40
Product R5$167.80
The company is considering adopting an activity-based costing system with the following activity cost pools, activity measures, and expected activity:
EstimatedExpected Activity
Activity Cost PoolsActivity MeasuresOverhead CostProduct U6Product R5Total
Labor-relatedDLHs$201,6387,1257,280 14,405
Production ordersorders 72,8401,3501,2502,600
Order sizeMHs 1,020,6086,5006,80013,300
$1,295,086
Which of the following statements concerning the unit product cost of Product U6 is true? (Round your intermediate calculations to 2 decimal places.)
a. The unit product cost of Product U6 under traditional costing is greater than its unit product cost under activity-based costing by $340.31.
b. The unit product cost of Product U6 under traditional costing is less than its unit product cost under activity-based costing by $5.63.
c. The unit product cost of Product U6 under traditional costing is greater than its unit product cost under activity-based costing by $5.63.
d. The unit product cost of Product U6 under traditional costing is less than its unit product cost under activity-based costing by $340.31.

Lillich, Inc.

c. The unit product cost of Product U6 under traditional costing is greater than its unit product cost under activity-based costing by $5.63.

Explanation:

a) Data and Calculations:

Direct labor rate = $28.00 per DLH

                                         Product U6                      Product R5      Total

Expected production            690                                  1,060

Direct materials cost/unit   $250.40                             $167.80

Direct Labor Hours/unit         8.9                                     5.9

Total direct labor hours        6,141                                 6,254        12,395

Direct labor costs               $171,948 ($28*6,141)          $175,112 ($28*6,254)

Total direct materials cost $172,776 ($250.4*690)   $177,868 ($167.8*1,060)

Total overhead                 $636,360                         $658,752                 $1,295,112

Total production cost        $981,084                         $1,011,732

Expected production            690                                  1,060

Cost per unit                      $1,421.86                         $954.46

Traditional costing:

Direct labor costs               $171,948 ($28*6,141)          $175,112 ($28*6,254)

Total direct materials cost $172,776 ($250.4*690)   $177,868 ($167.8*1,060)

Total overhead                   $641,612                          $653,418                 $1,295,112

Total production cost       $986,336                       $1,006,398

Expected production            690                                  1,060

Cost per unit                      $1,429.47                         $949.43

Allocation of overhead based on direct labor hours

= $ 1,295,086/12,395

= $104.48 per DLH

Product U6 = $641,612 ($104.48 *  6,141)

Product R5 = $653,418 ($104.48 * 6,254)  

Estimated Expected Activity

Activity Cost Pools  Activity      Overhead  Product     Product   Total

                               Measures       Costs          U6           R5    

Labor-related           DLHs         $ 201,638    7,125        7,280     14,405

Production orders   Orders            72,840   1,350         1,250      2,600

Order size                MHs          1,020,608   6,500        6,800    13,300

Total                                        $ 1,295,086

Overhead rates:

Labor-related = $201,638/14,405 = $14.00 per DLH

Production orders = $72,840/2,600 = $28.00 per order

Order size = $1,020,608/13,300 = $76.74 per machine hour

Overhead allocation:

                               Product U6                      Product R5              Total

Labor-related         $99,750 (7,125*$14)       $101,920 (7,280*$14) $201,670

Production orders    37,800 (1,350*$28)         35,000 (1,250*$28)    72,800

Order size               498,810 (6,500*$76.74) 521,832 (6,800*$76.74) 1,020,642

Total overhead   $636,360                         $658,752                 $1,295,112

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