UGB106 Management Accounting: Costing, Budgeting, Variance Analysis

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Homework Assignment
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This assignment provides solutions to management accounting problems, covering break-even analysis, margin of safety calculations, and profit estimations for Plaistead Plc. It also addresses cost allocation, overhead recovery rates, and product costing for Crawford Plc, alongside a discussion on absorption costing advantages and disadvantages. Furthermore, the assignment includes budget and variance analysis for Jayrod Plc, offering a comprehensive overview of key management accounting concepts and their practical application in business scenarios. The assignment adheres to the UGB106 Introduction to Management Accounting course requirements.
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UGB 106 Introduction to
management accounting
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Contents
Contents................................................................................................................................................2
Part 1.....................................................................................................................................................3
Question 2: Plaistead Plc..................................................................................................................3
Part 2.....................................................................................................................................................8
Question 3: Crawford Plc.................................................................................................................8
Part 3.....................................................................................................................................................3
Question 4:........................................................................................................................................3
REFERENCES...................................................................................................................................10
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Part 1
Question 2: Plaistead Plc.
Answer to (a)
Estimating Contribution per Unit
Note: Contribution per unit = (selling price per unit) – (variable costs per unit)
Particulars Β£
Selling Price 13
Materials (5.25)
Labour (2.95)
Variable Overheads (1.85)
Β£2.95
Answer to (b)
Estimating Break Even Sales Revenue at the Break-even Point and Margin of Safety:
Break Even point is reached when: total contribution = total fixed costs.
The break-even point (units) is estimated as:
Fixed Cost/ (𝑠𝑒𝑙𝑙𝑖𝑛𝑔 π‘π‘Ÿπ‘–π‘π‘’ π‘π‘’π‘Ÿ 𝑒𝑛𝑖𝑑)–(π‘£π‘Žπ‘Ÿπ‘–π‘Žπ‘π‘™π‘’ π‘π‘œπ‘ π‘‘π‘  π‘π‘’π‘Ÿ 𝑒𝑛𝑖𝑑)
Note: (selling price per unit) – (variable costs per unit) = Contribution per unit
With the information in the question, total fixed costs are estimated as:
Production Fixed Costs = Β£59,000
Selling Fixed Costs. = Β£47,600
Β£106,600
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Applying the formula, the number of electric kettles at break-even (the break-even point
(sales): =Β£106,600
Β£2.95
= 36,136 electric kettles.
Therefore, Revenue at Break-even = 36,136 electric kettles x Β£13
= Β£469,768
Margin of Safety (Volumes/Units) = (Planned sales in unit) - (Breakeven sales in unit)
= (53, 000 electric kettles) – (36, 136 electric kettles)
= 16, 864 electric kettles
Margin of Safety (Revenue) = (Planned sales revenue) - (Breakeven revenue)
= Β£689,000 –£469,768
= Β£219, 232
OR
Margin of safety (revenue) = (Margin of safety (volume/unit)) x (Selling price)
= 16,864 electric kettles x Β£13
= Β£219, 232
Answer to (c)
Estimating profit at 53,000 electric kettles at selling price of Β£13per electric kettle:
Sales (from question) = 53,000 electric kettles
Break even number of electric kettles (from calculation). = 36,136 electric kettles
Therefore, sales are above break-even point by 16,864 electric kettles (53, 000 – 36,136)
Contribution per electric kettles = Β£2.95
Additional contribution = 16, 864 x Β£2.95 = Β£49, 749
Answer to (d)
Estimating units of electric kettles to produce and sell for a profit of Β£90,000
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According to the foregoing calculations, producing and selling 36,136 electric kettles
will result in neither a loss nor a profit. This is the break-even point.
ο‚· In other words, no profit, no loss (zero profits) would be made as at when 36,136
electric kettles would be produced and sold (Cokins and Căpușneanu, 2020).
ο‚· Each additional electric kettle produced and sold would make Β£2.95 contribution
(from answer (a) above).
ο‚· Therefore, to make Β£90,000 profit, the number of addition electric kettles (further
to 36,136 electric kettles) to produce is:
Β£90,000
Β£2.95
= 30,508 electric kettles.
As a result, the total number of electric kettles to be made and sold in order to achieve a
profit of Β£90,000 would've been:
= (36,136 electric kettles) + (30,508 electric kettles = 66,644 electric kettles
Answer to (e)
Recalculation of selling price at which 53,000 electric kettles would be sold for a profit of Β£90,000.
Total contribution = (fixed costs) + (profit)
Therefore: Profit = (Total Contribution) – (Fixed Costs)
Thereafter: Derive β€˜contribution per unit’ of 53, 000 electric kettles.
Note that: Contribution per unit = (selling price per unit) – (variable costs per unit)
Therefore: Selling Price per unit = (Contribution per unit) + (variable costs per unit) Total
Contribution is estimated as: Β£106,600 (Fixed costs) + Β£90,000 (Profit desired) = Β£196, 600
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If 53,000 electric kettles are sold, contribution needed per electric kettles is estimated as:
Β£196, 600
53, 000 (electric kettles)
= Β£3.71
Therefore, the estimated selling price = (Contribution per unit) + (variable costs per unit):
Contribution per unit Β£3.71
Materials Β£5.25
Labour Β£2.95
Variable Overheads Β£1.85
New Selling Price Β£13.76
Answer to (f)
Adoption of new pricing strategy:
Proposed Strategy’s Selling Price = Β£13 x 1.09 (estimating 9% increase in
selling price)
= Β£14.17
Proposed Strategy’s Contribution (per kettle) = Β£2.95 + Β£1.17 (This is the proposed
Strategy’s selling price less old selling price)
= Β£4.12
Proposed Strategy’s Sales (in Units/Volume) = 53, 000 x 1.17 (estimating 17% increase in
Sales volume)
=62, 010 electric kettles
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Proposed Strategy’s Total Contribution = Β£4.12 x 62, 010 electric kettles
= Β£255,481
Proposed Strategy’s Fixed Costs = Β£106,600 + Β£45,000
= Β£151, 600
Proposed Strategy’s Profit = New Total Contribution – New Fixed Costs
= Β£255, 481 - Β£151,600
= Β£103, 881
The profit of Β£103, 881 under the proposed strategy is greater than the current budgeted profit
of Β£49,749 Consequently (in response (c) above), the proposed plan is a good strategy and must
be accepted by Plaistead Plc.
Answer to (g)
The break-even assessment is based on a set of assumptions, including:
ο‚· All costs (creation, transportation, and assembly) are broken down into permanent and
changeable components.
ο‚· The nature of expenses is continuous, which means that if price information is shown on a
chart, there will be a line.
ο‚· The total amount of permanent expenses would stay unchanged at each production
amount, whereas changeable expenses would vary in the proportional percentage of
production (Gunarathne and Lee, 2018).
ο‚· The merchandise's selling cost would stay static at each selling volume, implying that the
cost would not fluctuate in response to changes in finished goods.
ο‚· Equipment, labour, housing, advertising, and other acquired resources would all maintain the
same cost.
ο‚· Men's and machines' technological skills and efficiency would not increase.
ο‚· Earnings and expenditures are evaluated using a common manufacturing foundation, such as
the marketplace worth of commodities or the number of units produced.
ο‚· Only the amount of manufacturing or selling is thought to be a significant price determining
element.
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Part 2
Question 3: Crawford Plc
Answer to (a)
Allocating cost based on:
ο‚· Number of employees 12:10:3.
ο‚· Direct materials 17:8.
ο‚· Floor space 3:4:1.
ο‚· Floor space 3:4:1.
ο‚· Machinery used in each department 50:40:3.
ο‚· Number of employees 12:10:3.
ο‚· Kilowatt hours 1.5:1.3:2.
STEP 1: Allocating costs to departments using a suitable method (ratio) for each
department:
Total (Β£) Assembly (Β£) Joinery (Β£) Canteen
(Β£)
Indirect labour–12:10:3 28 000 13,440 11,200 3,360
Indirect material – 17:8 22 000 14 960 7 040 -----
Heating & lighting – 3:4:1 13 000 4 875 6 500 1 625
Rent & rates – 3:4:1 14 000 5 250 7 000 1 750
Depreciation – 50:40:3 19 000 10 215 8 172 613
Supervision – 12:10:3 15 000 7 200 6 000 1 800
Power – 1.5:1.3:2 9 000 2 813 2 438 3 750
120 000 58 753 48 350 12 898
STEP 2: Allocating service department costs to production departments:
Total (Β£) Assembly (Β£) Joinery (Β£) Canteen
(Β£)
Balance from Step 1 above 120 000 58 753 48 350 12 898
Allocate Canteen to Assembly &
Joinery
7 035 5 863 [12 898]
120 000 65 788 54 213 ------
STEP 3: Calculating the overhead recovery rates for Assembly and Joinery Department:
The overhead conversion efficiency is determined by the number of "labour hours." The
department's overhead expenses are split by the number of direct labour hours for each
division in both cases. The following is the overhead recovery rate:
π΄π‘ π‘ π‘’π‘šπ‘π‘™π‘¦ π·π‘’π‘π‘Žπ‘Ÿπ‘‘π‘šπ‘’π‘›π‘‘ = π‘‡π‘œπ‘‘π‘Žπ‘™ π‘‚π‘£π‘’π‘Ÿβ„Žπ‘’π‘Žπ‘‘ πΆπ‘œπ‘ π‘‘ π‘œπ‘“ π΄π‘ π‘ π‘’π‘šπ‘π‘™π‘¦
π·π‘’π‘π‘Žπ‘Ÿπ‘‘π‘šπ‘’π‘›π‘‘ Diπ‘Ÿπ‘’π‘π‘‘ πΏπ‘Žπ‘π‘œπ‘’π‘Ÿ π»π‘œπ‘’π‘Ÿπ‘  π‘œπ‘“π΄π‘ π‘ π‘’π‘šπ‘π‘™π‘¦ π·π‘’π‘π‘Žπ‘Ÿπ‘‘π‘šπ‘’π‘›t
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= 65,788 = Β£31.33 per labour hour
2 100 hours
π½π‘œπ‘–π‘›π‘’π‘Ÿπ‘¦ π·π‘’π‘π‘Žπ‘Ÿπ‘‘π‘šπ‘’π‘›π‘‘ = π‘‡π‘œπ‘‘π‘Žπ‘™ π‘‚π‘£π‘’π‘Ÿβ„Žπ‘’π‘Žπ‘‘ πΆπ‘œπ‘ π‘‘ π‘œπ‘“ π½π‘œπ‘–π‘›π‘’π‘Ÿπ‘¦ π·π‘’π‘π‘Žπ‘Ÿπ‘‘π‘šπ‘’π‘›π‘‘
π·π‘–π‘Ÿπ‘’π‘π‘‘ πΏπ‘Žπ‘π‘œπ‘’π‘Ÿ π»π‘œπ‘’π‘Ÿπ‘  π‘œπ‘“ π½π‘œπ‘–π‘›π‘’π‘Ÿπ‘¦ π·π‘’π‘π‘Žπ‘Ÿπ‘‘π‘šπ‘’π‘›t
= Β£54,202 =38.72 per labour hour
1 400 hours
Answer to (b)
Special Product Soft Stool: Calculation of full job cost and product cost for 10 units of Soft Stool.
Β£ Β£
Direct costs 85
Production overhead:
Assembly department (4 labour hours x Β£31.33) 125.32
Joinery department (6 labour hours x Β£38.72) 232.32
Total production overheads 357.64
Total production cost for one unit Β£442.64
Total production for 10 units (Β£442.64 x 10) Β£4,426.4
Working of Overhead Costs Allocations
Allocation of cost of indirect labour is 12:10:3 (= 25), on the basis of number of employees
(28 000)
π΄π‘ π‘ π‘’π‘šπ‘π‘™π‘¦= 12 x Β£28,000=Β£13,440
25
π½π‘œπ‘–π‘›π‘’π‘Ÿπ‘¦= 10 x Β£28,000=Β£11,200
25
πΆπ‘Žπ‘›π‘‘π‘’π‘’π‘›= 3 x Β£28,000=Β£3,360
25
Note: Canteen would not be reimbursed for indirect material costs because they are not
manufacturing and do not use the Β£22,000 in raw - materials.
Allocation of cost of indirect materials is 17:8(= 25), in proportion to direct materials
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π΄π‘ π‘ π‘’π‘šπ‘π‘™π‘¦= 17x Β£22,000=Β£1
πŸ’,960
25
π½π‘œπ‘–π‘›π‘’π‘Ÿπ‘¦= 8 xΒ£22,000=Β£7,4
𝟎
25
Allocation of cost of heating and lighting is 3:4:1(= 8), in proportion to floor space (13 000)
π΄π‘ π‘ π‘’π‘šπ‘π‘™π‘¦=3 x Β£13,000=Β£4,875
8
π½π‘œπ‘–π‘›π‘’π‘Ÿπ‘¦= 4 x Β£13,000=Β£6,500
8πΆπ‘Žπ‘›π‘‘π‘’π‘’π‘›= 1 x Β£13,000=Β£1,25
8
Allocation of cost of rent and rates is 3:4:1(= 8), in proportion to floor space (14 000)
π΄π‘ π‘ π‘’π‘šπ‘π‘™π‘¦=3 x Β£14,000=Β£5,250
8
π½π‘œπ‘–π‘›π‘’π‘Ÿπ‘¦. =4x Β£14,000=Β£7,000
8
πΆπ‘Žπ‘›π‘‘π‘’π‘’π‘›=1 xΒ£14,000=Β£1,750
8
Allocation of depreciation cost is 50:40:3(= 93), according to the value of machinery used in each
department (19 000)
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π΄π‘ π‘ π‘’π‘šπ‘π‘™π‘¦=50 x Β£19,000=Β£10,215
93
π½π‘œπ‘–π‘›π‘’π‘Ÿπ‘¦=40 x Β£19,000=Β£8,172
93
πΆπ‘Žπ‘›π‘‘π‘’π‘’π‘›=3 xΒ£19,000=Β£613
93
Allocation of cost of supervision is 12:10:3(= 25), on the basis of number of employees
(15,000)
π΄π‘ π‘ π‘’π‘šπ‘π‘™π‘¦=12 𝑋£15,000=Β£7,200
25
π½π‘œπ‘–π‘›π‘’π‘Ÿπ‘¦=10 𝑋£15,000=Β£6,000
25
πΆπ‘Žπ‘›π‘‘π‘’π‘’π‘›=3 𝑋£15,000=Β£1,800
25
Allocation of cost of power is 1.5:1.3:2(= 4.8), on the basis of kilowatt hours (9,000)
π΄π‘ π‘ π‘’π‘šπ‘π‘™π‘¦=1.5 xΒ£9,000=Β£2,813
4.8
π½π‘œπ‘–π‘›π‘’π‘Ÿπ‘¦=1.3 xΒ£9,000=Β£2,438
4.8
πΆπ‘Žπ‘›π‘‘π‘’π‘’π‘›= 2 xΒ£9,000=Β£3,750
4.8
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Absorption of canteen cost is 12:10(=22), on the basis of kilowatt hours
π΄π‘ π‘ π‘’π‘šπ‘π‘™π‘¦=12 xΒ£12,898=Β£7,035
22
π½π‘œπ‘–π‘›π‘’π‘Ÿπ‘¦=10 𝑋 Β£12,898 =Β£5,863
22
Answer to (c)
A single absorption rate is much more productive and likely less expensive to operate
(plant-wide rate). Nevertheless, if manufacturing methods in various divisions fluctuate
significantly (labor-intensive versus machine-intensive), using a single rate is prone to
misrepresent production costs (Bento, Mertins and White, 2018). This could be
exacerbated if the outcomes are significantly diverse from one another.
Advantages of Absorption Costing:
ο‚· GAAP Compliance– One of the advantages of using absorption costing would
be that it conforms to Generally Accepted Accounting Principles (GAAP), which
is required for submitting to the Internal Revenue Service (IRS).
ο‚· Accounting for All Production Costs– This takes into account all production
costs, whereas variable costing just analyses direct costs. Absorption costing
accounts for the corporation's permanent operating expenses, such as labour,
property leases, and energy bills. This provides a more comprehensive picture of a
manufacturer's expense each piece, allowing managers to make superior marketing
and revenue decisions.
ο‚· Tracking Profits- Absorption costing delivers a much more realistic financial
depiction than variable costing, particularly if all items really aren't supplied over
the same accounting cycle. This is a major problem if a corporation increases
output in anticipation of a periodic spike in sales (Chaudhry, Asad and Hussain,
2020).
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