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7/28/2019 Overheads Example 24 (1)
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ACCA F2 Management Accounting
Example 24
(a) Prepare an overhead analysis sheet showing the allocation and apportionment of
overhead costs to cost centres.
(b) Using appropriate bases, re-apportion the service cost centres overheads to production
cost centres, applying the repeated distribution and commencing with the canteen.
(c) Calculate an appropriate overhead absorption rate for each production cost centre (to 2
decimal places).
Bark removal Sawing Cleaning Canteen
Direct wages related costs 210 112 63 21 14
Supervisory salaries 92 30 36 14 12
Maintenance wages 42 8.4 25.2 4.2 4.2
Lighting and heating 54 16.875 33.75 0 3.375
Power 88 17.600 52.800 8.800 8.800
Production scheduling 26 9.75 16.25
512 194.625 227.000 48.000 42.375
Re-apportionment:
Canteen (14:8:3) 23.73 13.56 5.085 (42.375)
Cleaning 16.589 33.178 (53.085) 3.318
(d) Distinguish between the terms allocation and apportionment in the context of accounting
for overhead, giving an example of each from the question.
Allocation: overheads are charged to specific cost centre without sharing with other departments
(cost centres). Examples of allocated costs are supervisors salaries
Apportionment: overheads are shared between two or more cost centres. Basis of apportionment
has to be determined. Examples of apportioned costs are maintenance wages, lighting and heating
costs.
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Question 3
Shown below are next years budgeted operating costs for Octopus Ltd, a company with three production
and two service departments.
Production Dept Service Dept
Weavingdept Proofingdept Finishingdept Personnelservice Equipmentmaintenance Total
$000 $000 $000 $000 $000 $000
Direct materials 7,000 2,000 1,500 - - 10,500
Direct wages 2,500 5,500 2,000 - - 10,000
Indirect materials & wages 1,100 900 300 1,500 3,800 7,600
Power 5,200 1,000 200 100 800 7,300
Rent & rates 8,000
Factory admin & supervision 10,000
Machine insurance 2,400
Additional data extracted from next years budget is shown below.
Weavingdept
Proofingdept
Finishingdept
Personnelservice
Equipmentmaintenance
Total
Floor area sq metres 12,000 27,000 6,000 12,000 3,000 60,000
Machine hours 1,600,000 400,000 400,000 - - 2,400,000
Direct labour hours 1,200,000 1,800,000 600,000 - - 3,600,000
Number of employees 600 1,000 400 100 400 2,500
Gross BV of equipment $4.0m $1.0m $1.0m $6.0m
Production Dept Service Dept
Weavingdept
Proofingdept
Finishingdept
Personnelservice
Equipmentmaintenance
Total
$000 $000 $000 $000 $000 $000
Direct materials 7,000 2,000 1,500 - - 10,500
Direct wages 2,500 5,500 2,000 - - 10,000
Indirect materials & wages 1,100 900 300 1,500 3,800 7,600
Power 5,200 1,000 200 100 800 7,300
Rent & rates 1,600 3,600 800 1,600 400 8,000
Factory admin & supervision 2,400 4,000 1,600 400 1,600 10,000
Machine insurance 1,600 400 400 - - 2,400
21,400 17,400 6,800 3,600 6,600 55,800
Reapportionment:Personnel 900 1,500 600 (3,600) 600 -
Maintenance 4,800 1,200 1,200 - (7,200) -
Floor area sq metres 12,000 27,000 6,000 12,000 3,000 60,000
Rent & rates 8,000
1600 3600 800 1600 400 0.1333
Number of employees 600 1,000 400 100 400 2,500
Factory admin &supervision
10,000
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2400 4000 1600 400 1600 4
Gross BV of equipment $4.00 $1.00 $1.00 $6.00
Machine insurance 2,400
1600 $400.00 $400.00 400
Calculate the budgeted overhead absorption rates for each production department using the
following methods.
(a) A machine hour rate in the weaving department
(b) A direct labour hour rate on the proofing department
(c) Another suitable method in the finishing department
It may be assumed that the equipment maintenance department does not service the personnel services
department. All workings and assumptions should be clearly shown.
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Short QuestionsQ1: It is possible for an item of overhead expenditure to be shared amongst many departments.
It is also possible that this same item may relate to just one specific department.
If the item was charged specifically to a single department this would be an example of:
A Apportionment C Re-apportionment
B Allocation D Absorption
Q2: A method of dealing with overheads involves spreading common costs over cost centres on the
basis of benefit received. This is known as:
A Overhead Absorption C Overhead Apportionment
B Overhead Allocation D Overhead Analysis
Q3: A company is considering the following methods for apportioning heating and lighting costs to its
various departments:
1 The relative floor areas of departments
2 The relative cubic capacity (volume) of departments
3 The relative usage ascertained from meters
Which of the above would be acceptable?
A Method 1 and 2 only C Method 2 and 3 only
B Method 1 and 3 only D Method 1, 2 and 3
Q4: The following extract of information is available concerning the four cost centres of EG Limited.
Machining Finishing Packing Canteen
Number of direct employees 7 6 2 -
Number of indirect employees 3 2 1 4
Overhead allocated and apportioned $28,500 $18,300 $8,960 $8,400
The overhead cost of the canteen if to be re-apportioned to the production cost centres on the
basis of the number of employees in each production cost centre.
After the re-apportionment, the total overhead cost of the packing department, to the
nearest $, will be:
A $1,200 C $10,080
B $9,968 D $10,160
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Q5: The management accountant of Gympie Limited has already allocated and apportioned the fixed
overheads for the period although she has yet to reapportion the service centre costs. Information
for the period is as follows:
Production departments Service departments Total
1 2 Stores Maintenance
Allocated and apportioned $17,500 $32,750 $6,300 $8,450 $65,000
Work done by:
Stores 60% 30% - 10%
Maintenance 75% 20% 5% -
What are the total overheads included in production department 1 if the reciprocal
method is used to reapportion service centre costs?
A $27,618 C $28,398
B $28,171 D $28,453
Q5: Overheads distribution schedule
Production Service Total
1 2 Stores Maintenance
Allocated and apportioned $17,500 $32,750 $6,300 $8,450 $65,000
Re-apportionment:
Stores (6:3:1) 3,780 1,890 (6,300) 630 -
Maintenance (75:20:5) 6,810 1,816 454 (9,080)
Stores (6:3:1) 272 136 (454) 46
Maintenance (75:20:5) 36 10 - (46)Total overheads 28,398 36,602 - - 65,000
Answer: C
The following information relates to Q6 and Q7:
A company has established the following budgeted fixed overheads for the forthcoming period:
$000 Bases of apportionment
Heating and Lighting 12 Cubic capacity
Welfare costs 7 Number of employees
Power 42 Kwh usageTotal 61
Other information:
Department 1 Department 2 Maintenance Total
Cubic capacity (m3) 6,000 7,500 2,500 16,000
Employees (number) 20 30 6 56
Power (kwh usage) 35,000 25,000 60,000
Labour hours 28,000 48,500 76,500
Machine hours 40,000 39,000 79,000
The maintenance department splits its time between Department 1 and Department 2 on a ratio
of 2:3. The management accountant has partially completed an allocation and apportionment
statement:
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Department 1 Department 2 Maintenance
$ $ $
Heat and Light 4,500 5,625 1,875
Welfare 2,500
Power 24,500
Total 31,500
Q6: What would be the total cost allocated and apportioned to Department 2 excluding the
reapportionment of the maintenance costs?
A $21,250 B $26,875 C $27,625 D $29,500
Q7: What would be the overhead absorption rate in Department 1 (to 3 decimal places)?
A $0788/machine hour C $1125/labour hour
B $0814/machine hour D $1163/labour hour
Answer: Q6 & Q7Departments
1 2 Maintenance
Heat and Light 4,500 5,625 1,875
Welfare 2,500 3,750 750
Power 24,500 17,500 -
Total 31,500 26,875 2,625
Reapportionment:
Maintenance (2:3) 1,050 1,575 (2,625)
Total overheads 32,550 28,450 -
Machine hours 40,000
Labour hours 48,500
Overhead absorption rate $0.814/ $0.587/
mach hr lab hr
Q8: A factory consists of two production cost centres (G and H) and two service cost centres (J and
K). The total overheads allocated and apportioned to each centre are as follows:
G H J K
$40,000 $50,000 $30,000 $18,000
The work done by the service cost centres can be represented as follows:
G H J K
Percentage of service cost centre J to 30% 70%
Percentage of service cost centre K to 50% 40% 10%
The company apportions service cost centre costs to production cost centres using a method that
fully recognises any work done by one service cost centre for another.
What are the total overheads for production cost centre G after the reapportionment of
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all service cost centre costs?
A $58,000 C $59,000
B $58,540 D $59,540
Q8: Answer:
G H J K
Overheads allocated and apportioned $40,000 $50,000 $30,000 $18,000
Reapportionment:
K (5:4:1) 9,000 7,200 1,800 (18,000)
G (3:7:-) 9,540 22,260 (31,800)
58,540 79,460 - -
Machine hours are used to absorb overheads in a production cost centre. Overheads allocated and
apportioned to the cost centre are:
$
Allocated 13,122
Apportioned 7,920
Reapportioned from service cost centres 2,988
216,000 units of product are manufactured at a rate of 120 units per machine hour.
What is the overhead absorption rate per machine hour?
A $7.29 C $11.69
B $11.13 D $13.35
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(b) A separate departmental overhead absorption rates
Job 1 Job 2 Total
OAR 6.25 6.25
Total labour hours 7 14
OH absorbed 43.75 87.50
Example 2:
A company has two departments, Printing and Packing. Both departments use a single overhead
absorption rate based on labour hours.
The budget and actual data for period are as follow:
Department Direct Wages ($) Labour Hour Machine hours Production O/H Costs
Budget: Printing 24,000 4,000 12,000 180,000
Packing 70,000 10,000 1,000 100,000
94,000 14,000 13,000 280,000
Actual: Printing 30,000 5,000 14,000 200,000
Packing 59,500 8,500 800 95,000
89,500 13,500 14,800 295,000
During the period, a batch of product S was made. The direct material cost of the batch was $890.
Total labour hours worked was 500 hours (200 in printing and 300 in packing) and total machine hours
worked was 400 hours.
(a) Using a single blanket OAR based on labour hours, calculate the cost of the batch.
Budgeted overheads 280,000
Budgeted labour hours 14,000
OAR $20 per hour
Cost of the batch
Materials 890
Labour : Print (24,000/4,000 x 200) 1,200
: Pack (70,000/ 10,000 x 300) 2,100 3,300
Prime cost 4,190
Overheads (20 x 500) 10,000
Cost per batch 14,190
(b) It has been suggested that appropriate departmental overhead absorption rate (OAR) may be
more realistic. Calculate the OAR for:
(i) the printing department (absorbed based on machine hours)
(ii) the packing department (absorbed based on labour hours) and
Print Pack
Budgeted overheads 180,000 100,000
Labour hours 10,000
Machine hours 12,000
OAR 15 per m hr 10 per lab hr
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(iii) using departmental OARs, the cost of the batch
Prime cost 4,190
overheads : Print (15 x 400) 6,000
: Pack (10 x 300) 3,000 9,000
Total cost 13,190
Question 4
ACD has two production departments, cutting and assembly, which are supported by a further two service
departments, stores and maintenance. Both of the service departments undertake work for each other as
well as for the production departments.
The costs of the service departments are recharged as follows.
Cutting Assembly Stores Maintenance
Stores charged to 40% 30% 30%
Maintenance charged to 70% 20% 10%
Cost information for period seven was as follows.
Cutting Assembly Stores Maintenance
Actual overhead $77,000 $99,000 $125,000 $50,000
Cutting Assembly
Budgeted overhead * $180,000 $156,000
Budgeted activity 7,200 machine hours 48,000 direct labour hours
Actual activity 7,030 machine hours 52,580 direct labour hours
* after recharges
(a) Calculate the total actual overhead for both the cutting and the assembly departments in
Period 7, after apportionment of the two service departments using the repeated
distribution method (show workings to the nearest $).
C A S M
Actual overhead $77,000 $99,000 $125,000 $50,000
Re-apportionment:
S (4:3:3) 50,000.00 37,500.00 (125,000) 37,500
M (7:2:1) 61,250.00 17,500.00 8,750 (87,500)
S (4:3:3) 3,500.00 2,625.00 (8,750) 2,625
M (7:2:1) 1,837.50 525.00 262.50 (2,625)
S (4:3:-) 150.00 112.50 (262.50) -
Total overheads 193,737.50 157,262.50 - -
(b) Calculate the predetermined absorption rates for the cutting and assembly departments.
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(c) Determine any over or under absorption of overhead for the cutting and the assembly
departments for Period 7. Show all your workings.
Cutting Assembly
Budgeted overheads 180,000 156,000
Budgeted activity 7,200 48,000
OAR 25.00/ m hr 3.25/ l hrActual activity 7,030 52,580
OH absorbed 175,750.00 170,885.00
Actual OH 193,737.50 157,262.50
Over/ (under) absorption (17,987.50) 13,622.50
Question 5
PPS Limited has three main departments Casting, Dressing and Assembly and for period 2 has
prepared the following production overhead budgets for an output level of 110,000 units.
Department Casting Dressing Assembly
Production overheads $225,000 $175,000 $93,000
Expected production hours 7,500 7,000 6,200
During period 2, actual results were as follows for an output level of 117,500 units.
Department Casting Dressing Assembly
Production overheads $229,317 $182,875 $94,395
Production hours 7,950 7,280 6,696
(a) Calculate predetermined departmental overhead absorption rates for period 2.
Department Casting Dressing AssemblyProduction overheads $225,000 $175,000 $93,000
Expected production hours 7,500 7,000 6,200
OAR $30 $25 $15
(b) Calculate the under/over-absorption of overheads for each department for period 2.
Department Casting Dressing Assembly
Production overheads $225,000 $175,000 $93,000
Expected production hours 7,500 7,000 6,200
OAR $30 $25 $15Actual production hours 7,950 7,280 6,696
Overheads absorbed 238,500 182,000 100,440
Overheads incurred $229,317 $182,875 $94,395
Over/ (under) 9,183 (875) 6,045
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Short QuestionsQ1: A company has two production departments, Cutting and Finishing.
The budgeted overheads and operating hours for the two departments for next year are:
Cutting : $210,000 60,000 machine hours 4,000 labour hours
Finishing : $200,000 5,000 machine hours 14,000 labour hours
From the information given the pre-determined overhead absorption rates for the
departments should:
A be based on machine hours for the cutting department and labour hours for the finishing
department
B be based on labour hours for the cutting department and machine hours for the finishing
department
C both be based on machine hours
D both be based on labour hours
Q2: A company absorbs production overheads using a machine hour basis. In order to calculate any
over or under absorbed overheads which of the following would be needed, in
additional to the pre-determined machine hour rate?
A Budgeted overheads and actual overheads incurred
B Budgeted overheads and actual hours worked
C Actual overheads incurred and budgeted hours
D Actual overheads incurred and actual hours worked
Q3: Which of the following are acceptable bases for absorbing production overheads?
1 direct labour hour 3 as a percentage of prime cost
2 machine hours 4 per unit
A method 1 and 2 only C method 1, 2, 3 or 4
B method 3 and 4 only D method 1, 2 or 3 only
Q4: An overhead absorption rate is used to:
A Share out common costs over benefiting cost centres (allo)
B Find the total overheads for a cost centre (allo+app+re-app)
C Charge overheads to product
D Control overheads
Q5: Over-absorbed overheads occur when:
A Absorbed overheads exceed actual overheads
B Absorbed overheads exceed budgeted overheads
C Actual overheads exceed budgeted overheads
D Budgeted overheads exceed absorbed overheads
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Q6: An overhead absorption rate of $12.00 per direct labour hour was established based on a budget
of 2,100 hours.
Actual direct labour hours worked was 2,180 and actual overhead expenditure was $25,470.
What was the over/under absorption of overhead?
A $270 under absorbed C $960 over absorbed
B $690 over absorbed D $960 under absorbed
Budgeted overheads 25,200
Budgeted labour hours 2,100
OAR 12.00
Actual labour hours 2,180
Overheads absorbed 261,60
Overheads incurred 25,470
Over/ (under) absorption 690
Q7: In a given year a production department incurred actual overheads of $178,000. Overheads are
absorbed using actual machine hours and pre-determined rate per hour. The budgeted overhead
for the year was $180,000 and the budgeted machine hours were 90,000. The overheads for the
year were over-absorbed by 4,000. What were the actual machine hours?
A 89,000 C 91,000
B 90,000 D 92,000
Budgeted overheads 180,000
Budgeted machine hours 90,000
OAR 2.00
Actual machine hours 91,000
Overheads absorbed 182,000
Overheads incurred 178,000
Over/ (under) absorption 4,000
Q8: A company had the following budgeted and actual production overhead costs in its two
production cost centres, Machining and Assembly:
Budget Actual
Machining $210,000 $212,000
Assembly $136,000 $134,000
What statement is true?
A From the data available it is not possible to determine overhead over/under absorption
B Machining overheads were over-absorbed: Assembly overheads were under-absorbed
C Machining overhead were over-absorbed: Assembly overheads were over-absorbed
D Machining overhead were under-absorbed: Assembly overheads were over-absorbed
Q9: The production overhead of department D is absorbed using a machine hour rate. Budgeted
production overheads for the department were $280,000 and the actual machine hours were
70,000. Production overheads were under absorbed by $9,400.
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If actual production overheads were $295,000 what was the overhead absorption rate per
machine hour (to the nearest $)?
A $4.00 C $4.21
B $4.08 D $4.35
Budgeted overheads $280,000
Budgeted machine hours
OAR 4.08
Actual machine hours 70,000
Overheads absorbed 285,600
Overheads incurred 295,000
Over/ (under) absorption (9,400)
Data for Q10 and Q11:
Budgeted labour hours : 8,500 Actual labour hours : 7,928
Budgeted overheads : $148,750 Actual overheads : $146,200
Q10: Based on the data given above, what is the labour hour overhead absorption rate?
A $17.50 per hour C $18.44 per hour
B $17.20 per hour D $18.76 per hour
Q11: Based on the data given above, what is the amount of overhead under/over-absorbed?
A $2,550 under-absorbed C $2,550 over-absorbed
B $2,529 over-absorbed D $7,460 under-absorbed
Budgeted overheads 148,750
Budgeted labour hours 8,500
OAR 17.50
Actual labour hours 7,928
Overheads absorbed 138,740
Overheads incurred 146,200
Over/ (under) absorption (7,460)
Q12: A management consultancy recovers overheads on chargeable consulting hours. Budgeted
overheads were $615,000 and actual consulting hours were 32,150. Overheads were under-
recovered by $35,000.
If actual overheads were $694,075, what was the budgeted overhead absorption rate per
hour?
A $19.13 C $24.59
B $20.50 D $22.68
Budgeted overheads 615,000
Budgeted labour hours
OAR 20.50
Actual labour hours 32,150
Overheads absorbed 659,075
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Overheads incurred 694,075
Over/ (under) absorption (35,000)
Q13: The following production overhead costs relate to a production cost centre:
(1) Budget : $124,000
(2) Actual : $126,740
(3) Absorbed : $125,200
Which of the following statements is true?
A overheads were over-absorbed by $1,200
B overheads were over-absorbed by $1,540
C overheads were under-absorbed by $1,200
D overheads were under-absorbed by $1,540
Q14: Overheads are absorbed at a pre-determined rate based on direct labour hours. The following
additional information is available for a period:
Budget Actual
Overhead expenditure $164,000 $158,000
Direct labour hours 10,000 9,800
What was the overhead over/under-absorption in the period?
A $2,720 over-absorbed C $3,280 under-absorbed
B $3,224 over-absorbed D $6,000 under-absorbed
Budgeted overheads 164,000Budgeted labour hours 10,000
OAR 16.40
Actual labour hours 9,800
Overheads absorbed 160,720
Overheads incurred 158,000
Over/ (under) absorption 2,720
Q15: A company uses absorption costing. In a period, 34,000 units of the companys single product
were manufactured and 33,000 units were sold.
Consider the following two statements:
1. Fixed production overheads would be over-absorbed.
2. Profit would be higher than in the previous period.
Are the statements true in relation to the situation described or is it not possible to
determine whether or not they are true?
Statement 1 Statement 2
A Cannot determine Cannot determine
B Cannot determine True
C True Cannot determine
D True True
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