Marginal Costing
Mooney Ltd manufactures a single product - Leaving Cert Accounting - Question 8 - 2016
Question 8
Marginal Costing
Mooney Ltd manufactures a single product. The following is the proposed annual budget for the coming year:
Sales (55,000 units) € 770,00... show full transcript
Worked Solution & Example Answer:Marginal Costing
Mooney Ltd manufactures a single product - Leaving Cert Accounting - Question 8 - 2016
Step 1
Calculate the selling price per unit.
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Answer
To find the selling price per unit, divide the total sales by the number of units sold:
extSellingPriceperunit=Number of unitsSales=55,000770,000=14€
Step 2
Calculate the variable cost per unit.
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The variable cost per unit is determined by dividing the total variable costs by the number of units sold:
Variable Cost per unit=Number of unitsVariable Costs=55,000467,500=8.50€
Step 3
Calculate the contribution from each unit sold.
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The contribution per unit is calculated by subtracting the variable cost per unit from the selling price per unit:
Contribution per unit=Selling Price−Variable Cost=14€−8.50€=5.50€
Step 4
Calculate the break-even point in volume (units) and sales value (€).
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The break-even point in units is calculated by dividing the fixed costs by the contribution per unit:
Break-even point (units)=Contribution per unitFixed Costs=5.50137,500≈25,000units
For sales value:
Sales value at break-even=Break-even point×Selling Price per unit=25,000×14=350,000€
Step 5
Calculate the margin of safety in units and sales revenue that will yield a profit of €400,000.
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Answer
The margin of safety in units can be calculated as:
Margin of Safety (units)=Budgeted sales−Break-even sales=35,000−25,000=10,000units
Now, to find the sales value:
Sales value=Margin of Safety (units)×Selling Price per unit=10,000×14=140,000€
Step 6
Calculate the level of production and sales that will yield a profit of €400,000.
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Answer
We need to find the number of units (N) needed to achieve a profit of €400,000. Using the formula:
Required Sales=Fixed Costs+Target Profit+Variable Costs per unit×N
Substituting gives:
137,500+400,000+8.50×N=14N
Solving for N:
5.50N=537,500N=5.50537,500≈97,728units
Calculating total sales value:
Sales value=97,728×14=1,368,192€
Step 7
Explain the term 'variable cost' in relation to Mooney Ltd. Give one example of a 'variable cost'.
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A variable cost is a cost that changes with the quantity of production. In the context of Mooney Ltd, variable costs include expenses that vary directly with the number of units produced. One example of a variable cost could be the cost of raw materials used in production.
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