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Before the Amplifier is a manufacturer of guitars. The company sells acoustic an

ID: 2333893 • Letter: B

Question

Before the Amplifier is a manufacturer of guitars. The company sells acoustic and electric guitars. The electric guitar line is not as profitable as expected despite high production levels. Management is concerned that the price of the electric guitar line is too high in comparison to its competitors and is considering switching to ABC to improve costing accuracy. Currently, manufacturing overhead is applied to production based on DL hours and Before the Amplifier sets its sales prices by marking up unit product costs.

Activity Cost Driver Cost

Assembly DL hours logged $500

Machining Machine hours logged $1,500

Setting Up Equipment Number of setups $1,200

Product Movement Number of Moves $800

Each Acoustic guitar requires 1 direct labor hour and 0.5 machine hours to produce. Each Electric guitar requires 0.8 direct labor hours and 0.4 machine hours to produce. The production equipment is setup for every 5 Acoustic guitars produced and for every 25 Electric guitars produced. Acoustic guitars are moved during production in groups of 20 guitars; Electric guitars are moved during production is groups of 25 guitars.

The direct material cost per Acoustic guitar is $60 and the direct material cost per Electric guitar is $70. Direct Laborers are paid at a rate of $25 per hour. The projected production levels for the period are 20 Acoustic guitars and 100 Electric guitars.

The total per unit cost of the acoustic line under the traditional (current) system is . . . . . . . . . . . . . .

The total per unit cost for the electric line under the activity based costing (proposed) system is . . . . . . . (round to the nearest dollar)

The total amount by which each product line is over/undercosted is . . . . . . . . . . .

Explanation / Answer

Solution:

The total cost per unit of the acoustic line under the traditional system:

Total cost per unit –

Total cost per unit:

Direct materials

$60

Direct labor

$25

($25 per hour x 1 direct labor hour)

MOH

$40

(applied based on direct labor hour)

Total cost per unit:

$125

Electric cost per unit -

Direct material

$70

Direct labor

$20

($25 x 0.8 DL hours)

MOH

$32

($40 x 0.8 DL hours)

Total cost

$122

Note – Manufacturing overhead is applied on the basis of direct labor hour.

Total manufacturing overhead –

Assembly        $500

Machining       $1,500

Setting up Equipment $1,200

Product Movement     $800

Total MOH                 $4,000

Total direct labor hours           100

MOH per DL hour      $4,000/100 = $40 per DL hour

Computation of ABC cost per unit:

Acoustic Guitar –

Direct material            $60

Direct labor                 $25

MOH                           $58

Total cost per unit       $143

Acoustic - total MOH per unit under ABC System

Cost pool

cost per activity

usage

Cost per unit

Assembly

$5 per DL hour

1 hour per unit

$5 per unit

Machining

$30 per MH

0.5 MH per unit

$15 per unit

Setting up

$150 per setup

5 units per setup

$30 per unit

Product movement

$160 per group

20 units per group

$8 per unit

Total MOH per unit

$58 per unit

Electric Guitar –

Direct material                        $70

Direct labor                             $20

MOH                                       $28.40

Total cost per unit                   $118.40

Total cost per unit rounded to nearest dollar value = $118

Electric Guitar - Total MOH per unit

Cost pool

cost per activity

usage

Cost per unit

Assembly

$5 per DL hour

0.8 DL hours

$4 per unit

$5 x 0.8

Machining

$30 per MH

0.4 MH per unit

$12 per unit

$30 x 0.4

Setting up

$150 per setup

25 units per setup

$6 per set

$150/25

Product movement

$160 per group

25 units per group

$6.40

$160/25

Total cost per unit:

$28.40

Basic Calculations – ABC system

Activity

Cost Driver

Cost Pool

Acoustic Guitar

Electric Guitar

Total Activity

Cost per activity

Assembly

DL hours

$500

20 DL Hours

80 DL Hours

100 DL Hours

$5 per DL hour

Machining

Machine hours

$1,500

10 MH

40 MH

50 MH

$30 per MH

Setting Up Equipment

Number of setups

$1,200

4 setups

4 setups

8 setups

$150 per setup

Product Movement

Number of moves

$800

1 group

4 group

5 groups

$160 per group

Comparison of total cost per unit of both acoustic and electric guitars under Traditional and ABC costing methods:

Acoustic Guitar –

Traditional cost per unit          $125

ABC cost per unit                   $143

Product undercosted               $18

Hence, acoustic guitar is under costed by $18 per unit.

Total undercosted = 20 guitars x $18 per guitar = $360

Electric Guitar –

Traditional cost per unit          $122

ABC cost per unit                   $118

Product overcosted                 $4

Hence, electric guitar is overcosted by $4 per unit.

Total overcosted = 100 guitars x $4 per guitar = $400

Total cost per unit:

Direct materials

$60

Direct labor

$25

($25 per hour x 1 direct labor hour)

MOH

$40

(applied based on direct labor hour)

Total cost per unit:

$125

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