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Question #3 The lead accountant has compiled the following data in preparation for allocating overhead to three cost drivers.
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Answer #1

Part-A: Allocation of Overhead Costs on the basis of three Cost Drivers:

Allocation of monthly overheads of $20,00,000 on the basis of units produced:

Overhead Cost per unit of Widget produced = Total Overhead Costs/Total units of Widget produced

= 20,00,000/45,000

= $44.4444 p.u.

Allocation of monthly overheads of $20,00,000 on the basis of units produced:
Widget-1 Widget-2 Widget-3 Total
Units produced (1) 25000 15000 5000 45000
Overhead Cost p.u. of Widget Produced (2) 44.4444 44.4444 44.4444 44.4444
Overhead Cost allocated to each product (3) = (1)*(2) 1111110 666666 222222 1999998

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.

Allocation of monthly overheads of $20,00,000 on the basis of direct labor hours:

Overhead Cost per unit of direct labor hours worked = Total Overhead Costs/Total labor hours worked

= 20,00,000/3,00,000

= $6.6667 per direct labor hour.

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Allocation of monthly overheads of $20,00,000 on the basis of direct labor hours worked:
Widget-1 Widget-2 Widget-3 Total
Direct Labor Hours Worked(1) 100000 120000 80000 300000
Overhead Cost per Labor Hour Worked (2) 6.6666 6.6666 6.6666 6.6666
Overhead Cost allocated to each product (3) = (1)*(2) 666660 799992 533328 1999980
Units Produced (4) 25000 15000 5000 45000
Overhead Cost p.u. of Widget Produced (5) = (3)/(4) 26.6664 53.3328 106.6656

.

Allocation of monthly overheads of $20,00,000 on the basis of Raw Material Costs:

Overhead Cost per Dollar of Raw Material Cost = Total Overhead Costs/Total Raw Material Cost

= 20,00,000/(25*25000 + 50*15000 + 200*5000)

= 20,00,000/23,75,000

= $0.842105 per dollar of raw material cost

.

Allocation of monthly overheads of $20,00,000 on the basis of raw material costs:
Widget-1 Widget-2 Widget-3 Total
Raw material cost (1) 625000 750000 1000000 2375000
Overhead Cost per dollar of Raw Material Cost(2) 0.842105 0.842105 0.842105 0.842105
Overhead Cost allocated to each product (3) = (1)*(2) 526315.8 631578.9 842105.3 2000000
Units Produced (4) 25000 15000 5000 45000
Overhead Cost p.u. of Widget Produced (5) = (3)/(4) 21.05263 42.10526 168.4211

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Part-B:

Cost p.u. of Widget-3 when overheads are allocate on the basis of units produced: P.U. ($)
Raw Material Cost 200
Direct Labor Cost 480
Overhhead Cost 44.4444
Total Cost per unit 724.4444
Cost p.u. of Widget-3 when overheads are allocate on the basis of direct labor hours worked: P.U. ($)
Raw Material Cost 200
Direct Labor Cost 480
Overhhead Cost 106.6656
Total Cost per unit 786.6656
Cost p.u. of Widget-3 when overheads are allocate on the basis raw materials costs: P.U. ($)
Raw Material Cost 200
Direct Labor Cost 480
Overhhead Cost 168.4211
Total Cost per unit 848.4211

.

When Overhead Costs are allocated on the basis of Raw Material Cost , the Final Product Cost of Widget exceeds $800 (i.e. $848.42).

Reason:-Raw Material Cost is high in case of Widget-3 as compared to Labor Cost & Units Produced of Widget -3

.

.

Part-C:

Two strategies to make Widget-3 more viable product are:

1)Decrease Total Overhead Costs

2)Allocation of Overhead Costs on the basis of Activity Based Costing.

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