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Question 1: Activity-Based Costing (ABC) Doris Ltd manufactures two models of medical devices for blood testing...

Question 1: Activity-Based Costing (ABC)

Doris Ltd manufactures two models of medical devices for blood testing as follows: N80 and N90. The company is currently using the traditional (absorption) costing method and overhead is applied to the products based on the number of units. Doris Ltd has decided to adopt activity-based costing (ABC) in the coming year. The company data concerning the current period’soperations appear below:

N80

N90

Units produced

60,000

10,000

Number of parts needed (per unit)

12

20

Price of parts (per part)

$8

$6

Time per unit (minutes)

10

15

Labour hourly rate

$18

$20

From the company’s management information system, you extract the following information on activities, costs and activity drivers for the current period:

Activity

Expected Cost

Batch level activities:

Machine set-up (number of machine set-ups)

$165,000

Materials ordering (number of orders)

$180,000

Machine hours (machine hours)

$120,000

Injection moulding (injection moulding batches)

$18,000

Product level activities:

Product design (number of product designs)

$10,000

Product requisitions handling (number of product requisitions)

$90,000

Customer level activities:

Customer order (number of customer orders)

$9,000

Facility level activities:

Security (square metres of facilities)

$36,000

Total Overhead

$628,000

Activity drivers for the current period

N80

N90

Number of machine set-ups

100

200

Number of orders

2,000

3,000

Machine hours

8,000

12,000

Injection moulding batches

8

2

Number of product designs

20

30

Number of product requisitions

12,000

6,000

Number of customer orders

200

250

Square metres of facilities

1,200

1,800

5

Question 1 continued:

Required:

  1. Compute the predetermined overhead rate under the current absorption costing method and determine the full unit product cost of each product. Round the unit costs and all other costs to 4 decimal places.

  2. Determine the full unit product cost of each product using the activity-based costing approach. Round the unit costs and all other costs to 4 decimal places.

    (Total marks for the question 32 marks)

Enter your answers for the following sub-questions in Part A on Canvas. Enter all your answers as numbers without the $ sign. Ensure you show the working for all sub-parts in your Part B Word document.

NO

Sub-question

Marks

1

How much is the overhead rate per unit for N80 under current traditional costing?

2

2

How much is the overhead rate per unit for N90 under current traditional costing?

2

3

How much is the full product cost per unit for N80 under current traditional costing?

2

4

How much is the full product cost per unit for N90 under current traditional costing?

2

5

How much is the Unit level overhead rate per unit for N80 under ABC?

2

6

How much is the Unit level overhead rate per unit for N90 under ABC?

2

7

How much is the Batch level overhead rate per unit for N80 under ABC?

2

8

How much is the Batch level overhead rate per unit for N90 under ABC?

2

9

How much is the Product level overhead rate per unit for N80 under ABC?

2

10

How much is the Product level overhead rate per unit for N90 under ABC?

2

11

How much is the Customer level overhead rate per unit for N80 under ABC?

2

12

How much is the Customer level overhead rate per unit for N90 under ABC?

2

13

How much is the Facility level overhead rate per unit for N80 under ABC?

2

14

How much is the Facility level overhead rate per unit for N90 under ABC?

2

15

How much is the Full unit cost per unit for N80 under ABC?

2

16

How much is the Full unit cost per unit for N90 under ABC?

2

Total marks for the question

32

Solutions

Expert Solution

Given information

N80 N90
Units produced 60,000 10,000
Number of parts needed per unit 12 20
Price per part $8 $6
Direct materials cost (part) $96 (12 x $8) $120 (20 x $6)
Time per unit (minutes) 10 15
Labour hourly rate $18 $20
Direct Labour cost per part $3 [$18 x (10/60)] $5 [$20 x (15/60)]
Activity Expected Cost
Batch level activities:
Machine set-up (number of machine set-ups) $165,000
Materials ordering (number of orders) $180,000
Machine hours (machine hours) $120,000
Injection moulding (injection moulding batches) $18,000
Product level activities:
Product design (number of product designs) $10,000
Product requisitions handling (number of product requisitions) $90,000
Customer level activities:
Customer order (number of customer orders) $9,000
Facility level activities:
Security (square metres of facilities) $36,000
Total Overhead $628,000

1. Calculation of predetermined overhead rate under current absorption method (Number of units produced):

Total overheads = $628,000

Total number of units produced = 60,000 + 10,000 = 70,000

predetermined overhead rate = Total overheads / Total number of units produced = $628,000 / 70,000 = $8.9714

2. Calculation of Total cost per unit using absoption costing method:

N80 N90
Direct materials cost per unit $96 $120
Direct labour cost per unit $3 $5
Overhead cost per unit $8.9714 $8.9714
Total cost per unit $107.9714 $133.9714

3. Calculation of overhead activity rate under the ABC system:

Activity Expected Cost Number of Activites Activity Rate
(A) (B) (C) (D) = (B) / (C)
Batch level activities:
Machine set-up (number of machine set-ups) $165,000 300 (100+200) $550
Materials ordering (number of orders) $180,000 5,000 (2,000+3,000) $36
Machine hours (machine hours) $120,000 20,000 (8,000+12,000) $6
Injection moulding (injection moulding batches) $18,000 10 (8+2) $1,800
Product level activities:
Product design (number of product designs) $10,000 50 (20+30) $200
Product requisitions handling (number of product requisitions) $90,000 18,000 (12,000+6,000) $5
Customer level activities:
Customer order (number of customer orders) $9,000 450 (200+250) $20
Facility level activities:
Security (square metres of facilities) $36,000 3,000 (1,200+1,800) $12
Total Overhead $628,000

4. Calculation of Total cost per unit using ABC system:

N80 N90
Batch level activities:
Machine set-up $55,000 (100 x $550) $110,000 (200 x $550)
Materials ordering $72,000 (2,000 x $36) $108,000 (3,000 x $36)
Machine hours $48,000 (8,000 x $6) $72,000 (12,000 x $6)
Injection moulding $14,400 (8 x $1,800) $3,600 (2 x $1,800)
Product level activities:
Product design $4,000 (20 x $200) $6,000 (30 x $200)
Product requisitions handling $60,000 (12,000 x $5) $30,000 (6,000 x $5)
Customer level activities:
Customer order $4,000 (200 x $20) $5,000 (250 x $20)
Facility level activities:
Security $14,400 (1,200 x $12) $21,600 (1,800 x $12)
Toal overheads $271,800 $356,200
Total units Produced 60,000 10,000
Overhead cost per unit $4.53 ($271,800 / 60,000) $35.62 ($356,200 / 10,000)
Direct materials cost per unit $96 $120
Direct labour cost per unit $3 $5
Total cost per unit $103.53 (4.53+96+3) $160.62 (35.62+120+5)

Sub-Questions:

1. Calculation of overhead rate per unit for N80 under current traditional costing:

Overhead rate per unit for N80 under current traditional costing (See Statement  1 above) = $8.9714

2. Calculation of overhead rate per unit for N90 under current traditional costing:

Overhead rate per unit for N90 under current traditional costing (See Statement  1 above) = $8.9714

3. Calculation of full product cost per unit for N80 under current traditional costing:

Full product cost per unit for N80 under current traditional costing (See Statement 2 above) = $107.9714

4. Calculation of full product cost per unit for N90 under current traditional costing:

Full product cost per unit for N90 under current traditional costing (See Statement 2 above) = $133.9714

5. Calculation of Unit level overhead rate per unit for N80 under ABC:

Unit level overhead rate per unit for N80 under ABC (See Statement 4 above) = $4.53

6. Calculation of Unit level overhead rate per unit for N90 under ABC:

Unit level overhead rate per unit for N80 under ABC (See Statement 4 above) = $35.62

7. Calculation of Batch level overhead rate per unit for N80 under ABC:

N80 ($)
Total Batch level overhead cost $189,400
Total units produced 60,000 units
Batch level cost per unit $3.1567 per unit

8. Calculation of Batch level overhead rate per unit for N90 under ABC:

N90 ($)
Total Batch level overhead cost $293,600
Total units produced 10,000 units
Batch level cost per unit $29.36 per unit

9. Calculation of Product level overhead rate per unit for N80 under ABC:

N80 ($)
Total Product level overhead cost $64,000
Total units produced 60,000 units
Batch level cost per unit $1.0667 per unit

10. Calculation of Product level overhead rate per unit for N90 under ABC:

N90 ($)
Total Product level overhead cost $36,000
Total units produced 10,000 units
Batch level cost per unit $3.60 per unit

11. Calculation of Customer level overhead rate per unit for N80 under ABC:

N80 ($)
Total Customer level overhead cost $4,000
Total units produced 60,000 units
Batch level cost per unit $0.0667 per unit

12. Calculation of Customer level overhead rate per unit for N90 under ABC:

N90 ($)
Total Customer level overhead cost $5,000
Total units produced 10,000 units
Batch level cost per unit $0.50 per unit

13. Calculation of Facility level overhead rate per unit for N80 under ABC:

N80 ($)
Total Facility level overhead cost $14,400
Total units produced 60,000 units
Batch level cost per unit $0.24 per unit

14. Calculation of Facility level overhead rate per unit for N90 under ABC:

N90 ($)
Total Facility level overhead cost $21,600
Total units produced 10,000 units
Batch level cost per unit $2.16 per unit

15. Calculation of Full unit cost per unit for N80 under ABC (as per Statement 4):

N80 ($)
Direct materials cost per unit $96
Direct labour cost per unit $3
Overhead cost per unit $4.53
Total cost per unit $103.53

16. Calculation of Full unit cost per unit for N90 under ABC (as per Statement 4):

N90 ($)
Direct materials cost per unit $120
Direct labour cost per unit $5
Overhead cost per unit $35.62
Total cost per unit $160.62

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