HMAC330-1
APPLICATION OF MANAGEMENT ACCOUNTING
JESSICA UYS
FA1
QUESTION 1
1.1
Total Material Cost = R37,000
Total Labour Cost = R24,000
Total Variable Manufacturing Costs = One-third of R30,000 = 30,000/3=R10,000
Total Variable Costs:
37,000+24,000+10,000=R71,000
71,000/8,000
=R8.875
Contribution Per Unit
15−8.875=R6.125
Break-even point is calculated using:
BEP= TOTAL FIXED COST//CONTRIBUTION PER UNIT
= 30,000×2/3
= 20,000
TOTAL FIXED COST= 20,000
BEP= 20 000/6.125
= 3,265.31≈3,266 units
Margin of Safety is calculated using:
MOS (units)=Actual Sales−Break-even Sales
MOS=8,000−3,266=4,734 units
MOS (value)=MOS(units)×Selling Price per Unit
4,734×15=R71,010
1.2
New Variable Cost Per Unit
8.875+3=R11.875
Calculate New Contribution Per Unit
Contribution per unit=Selling Price per Unit−Variable Cost per Uni
22−11.875=R10.125
New Total Contribution
Total Contribution=Contribution per unit×New Sales Volume
10.125×7,350=R74,618.75
Calculate New Total Fixed Costs
New Fixed Costs=Original Fixed Costs+Increase in Fixed Costs
20,000+6,000=R26,000
Calculate Profit or Los
Profit=Total Contribution−Total Fixed Costs
74,618.75−26,000=R48,618.75
Makita Industries Ltd. will earn a profit of R48,618.75.
1.3
Selling Price per Unit = R15
Variable Cost per Unit = R8.875 (previously calculated)
Fixed Costs = R20,000
BEP (Makita)= 20,000/15-8.875
=3,266 units
Lumina Ltd.
=30,000/16-6
3,334 units
Compare Operating Leverage
Degree of Operating Leverage (DOL)= Total Contribution/PROFIT
Makita Industries Ltd.
=49 000/29 000
=1.69
Lumina Ltd.
=72 000/42 000
=1.71
Break-even Point: Lumina has a slightly higher BEP (3,334 vs. 3,266 units),
meaning it must sell more to cover its costs, increasing risk.
Operating Leverage: Lumina’s DOL (1.71) is slightly higher than Makita’s (1.69),
meaning it has greater sensitivity to sales fluctuations, making it riskier.
Fixed Cost Burden: Lumina has higher fixed costs (R30,000 vs. R20,000),
meaning it has more financial commitment before reaching profitability.
1.4
Contribution per unit=Selling price per unit−Variable cost per unit
Contribution per desk=2,950−2,200=R750
Contribution per chair=2,750−780=R1,970
WACM=(1/3×Contribution per desk)+(3/4×Contribution per chair)
=(1/4×750)+(3/4×1,970)
=187.50+1,477.50
=R1,665
total Break-even Sales Volume
=1,800,000/1665
1,081.08≈1,081 sales units (total)
Allocate BEP Units to Each Product Based on Sales Mix
Solid Wood Desks BEP:
1/4×1,081=270.25≈270 desk
Upholstered Chairs BEP
3/4×1,081=810.75≈811 chairs
QUESTION 2
Calculate Contribution per Unit for Each Product
Contribution per unit=Selling Price−Variable Costs
=50−(6+3+20+13)=50−42=8
Flavour Puffs Contribution per Unit:
60−(14+6+15+1)=60−36=24
Identify the Binding Constraints
Mixing Department: 2,500 machine hours available
Packaging Department: 5,000 labour hours available
Calculate Machine and Labour Hour Requirements
X be the number of Crunchy Bites produced
Y be the number of Flavour Puffs produced
Mixing department
3X+6Y≤2,500
Packaging department (labour hours required per unit):
20X+15Y≤5,000
Contribution per Machine Hour
8/3=2.67 (Crunchy Bites)
24/6=4 (Flavour Puffs)
he Mixing department is the bottleneck. If we only produce Flavour Puffs:
6Y=2,500
Y=2600/6
=416.67≈416 (rounding down)
6(416)=2,496 hours
Remaining machine hours:
2,500−2,496=4 hours
Since Crunchy Bites requires 3 hours per unit, we can produce:
X=4/3 =1.33=1
Flavour Puffs: 416×15=6,240416 \times 15 = 6,240416×15=6,240 hours (exceeds
limit of 5,000 hours)
Y=5000/15 =333 UNITS
For Y=333Y = 333Y=333, required machine hours:
6×333=1,998
REMAINING MACHINE HOURS
2,500−1,998=502
Crunchy Bites production:
X=502/3 =167 units
PACKAGING HOURS USED : (167×20)+(333×15)=3,340+4,995=5,000
MAXIMUM PROFIT:
Total Contribution=(167×8)+(333×24)
=1,336+7,992
=9,328
Thus, Mafuri Foods Inc.'s maximum profit is R9,328 when producing 167 units of
Crunchy Bites and 333 units of Flavour Puffs.
QUESTION 3
3.1
Marginal costing treats fixed production overheads as period costs and
expenses them immediately.
Absorption costing includes fixed production overheads in the cost per unit and
expenses them when sold.
Absorption costing shows higher profit when production exceeds sales, while
marginal costing shows higher profit when sales exceed production
3.2
CALCULATIONS RAND
SALES (12600-2200)×150 1 560 000
LESS: VARIABLE 10,400×(7.50+26+19+5.50) (707,200)
COST OF SALES
OPENING (3000+8900-10 500) ×150 210 000
INVENTORY
VARIABLE 17.50+26+19=R62.50 × 10 500 650,000
PRODUCTION
COST
LESS CLOSING 2 200 ×150 (330 000)
INVENTORY
VARAIBEL SELLING, 10,400×5.50 =R57,200= (57 200)
DISTRIBUTION AND
ADMIN COST
LESS: FIXED Total Fixed Costs=R111,280+R75,000 (R186,280)
COSTS
PRODUCTION 10,400×10.70 111,280
SELLING 6,250×12 75,000
,DISTRUBUTION
AND ADMIN
PROFIT (LOSS)
3.3
CALCULATIONS RAND
SALES (12600-2200)×150 1 560 000
COST OF SALES (1 185 840)
OPENING OF (3000+8900-10 500) 210 000
INVENTORY ×150
DDIRECT MATERIALS (3000+8900-10500) 24 500
×R17.50
DIRECT LABOUR (3000+8900-10500) ×R26 36 400
Variable manufacturing 1400 ×19 26 600
overheads
Fixed manufacturing 1400 ×10.70 14 980
overheads
Production
Direct materials 12 600 ×R17.50 220 500
Direct labour 12 600 × R26 327 600
Variable manufacturing 12 600 × R19 239 400
overheads
Fixed manufacturing 12 600 × R10.70 134 820
overheads
Closing inventory 2 200)×150 330 000
Direct materials 2 200 ×R17.50 38 500
Direct labouR 2 200× R26 57 200
Variable manufacturing 2 200× R19 41 800
overheads
Fixed manufacturing 2 200× R10.70 23 540
overheads
Gross profit 374 160
QUESTION 4
4.2
sunk Costs — The sunk cost of the original expense is an historical cost, and since
this cannot be changed, it should not impact a decision about the future.
Replacement or Opportunity Cost – The current market price or best alternative use
is more relevant than the original cost to decide using or replacing materials.
Obsolescence or Scrap Value – If materials are obsolete or worthless except for
sale as scrap, the relevant cost is the recoverable amount, not the initial price
4.2
Historical Cost Accounting – The principal purchase price of an inventory is used
when value is assigned to an inventory for financial statements.
Costing Systems – The primary cost (actual cost) is the basis for calculating the cost
of the whole production in job or process costing and setting the selling prices.
Contractual arrangements – if a contract includes cost-plus pricing, for example, the
initial cost directly affects the final price borne by customers.
Budgeting and Cost Control – Helping with variance analysis and cost control by
analyzing actual material costs vs original purchase prices.
4.3
Calculate Revenue from the Special Order
Revenue=Units Ordered×Selling Price per Unit
450×R4895
R2202750
We consider only the incremental or avoidable costs.
1. Steel Panels
• Already available with a book value of R85 per unit.
• No alternative use, but can be sold as scrap for R70.50 per unit.
• Relevant cost = Opportunity cost (scrap value)
450×18×R70.50=R570150
Available at the Durban branch at a book value of R50 per unit.
Used in normal production, so the replacement value (R65 per unit) is relevant.
Additional transportation cost = R8 700.
Total cost=(450×25×R65)+R8700
731250+R8700=R739950
Workers will be reallocated from another project.
Current workers earn R25 per hour, but new workers for the other project will be
hired at R40 per hour.
Relevant cost = Cost of hiring additional labour:
Total cost=450×30×R40
R540000
Existing staff will handle supervision, so no additional cost.
Supervision cost = R0.
Specialised Software
• Purchase cost = R30 000.
• Resale value = R18 000.
• Relevant cost = Net cost:
R30000−R18000=R12000
Calculate Total Relevant Costs
R570150 (Steel Panels)+R739950 (Electronic Controls)+R540000 (Labour)+R12000
(Software) =R1862100
Calculate Profit/Loss from Special Order
Profit/Loss=Revenue−Total Relevant Costs
R2202750−R1862100
R340650
Conclusion
Since the special order will generate an additional profit of R340 650, Harmony
Home Decor should accept the order.
4.4
Disruption to Standard Production Schedules – Committing to this order may
shift focus away from regular manufacturing activities, potentially causing scheduling
conflicts or inefficiencies in meeting existing commitments.
Long-Term Pricing Strategy Risks – Offering a lower price for this bulk order
could lead to market expectations for similar discounts in the future, possibly
devaluing the brand and impacting profitability in standard sales.
Workforce Productivity and Retention – Redirecting skilled workers to the
special order while hiring temporary replacements for other projects may affect
overall productivity, job satisfaction, and employee retention.
Supplier and Logistics Challenges – The need to transport electronic
components from the Durban branch could highlight logistical inefficiencies or create
dependencies that might affect cost management in future projects.
Strategic Business Growth Opportunities – If fulfilling this order strengthens
relationships with the local community, it might open doors for repeat orders,
referrals, or brand loyalty that could benefit the company beyond immediate profits.
REFERENCING
• Atrill, P. & McLaney, E. (2022) Management Accounting for Decision Makers.
10th edn. Pearson Education.
• Bragg, S.M. (2023) Cost Accounting Fundamentals: Essential Concepts and
Examples. 6th edn. Accounting Tools.
• Drury, C. (2021) Management and Cost Accounting. 11th edn. Cengage
Learning.