Marginal Costing and Break-Even Analysis

Marginal Costing/Variable Costing

• Deals with determining the sales volume required to reach the break-even point, where the company transitions from loss to profit.

Cost Behaviour

• Examines how costs change with variations in activity levels.

• Fixed Costs: Remain constant within a specific range of activity over a defined period.

• Variable Costs: Change proportionally with the volume of activity within a specified period.

Fixed Cost Graph

• A graph illustrating fixed costs typically shows a horizontal line, indicating that total fixed costs remain the same regardless of the output level.

Variable Cost Graph

• A graph of variable costs shows a line sloping upwards, demonstrating that total variable costs increase with higher output.

Further Considerations on Cost Behaviour

• Cost classification depends on the time frame.

  • Short-term: some costs are fixed.

  • Long-term: all costs become variable.

• It also depends on the relevant range, considering the expected output level.

• Practical Examples: Rent is usually a fixed cost, while direct labor is a variable cost.

Total Cost Equation

• The total cost is calculated by summing fixed costs and variable costs:

  • $Total\ Cost = Fixed\ Cost + (Variable\ Cost\ per\ Unit \times Output)$

• A high-low method helps estimate fixed and variable costs from total cost data.

Contribution Margin

• Contribution Margin: Sales revenue less all variable costs.

Contribution Margin Equation

• The formula is as follows:

  • Sales Revenue - Variable Production Costs - Variable Non-Production Costs = Contribution.

  • Contribution - Fixed Costs = Profit

• This approach is central to marginal/variable costing.

Significance of Variable Costing

• Marginal costing emphasizes the importance of variable costs, which change with the level of activity or volume.

• Marginal costing assess the marginal effect of production and sales.

  • How profit changes with each additional unit sold.

  • How total cost changes with each additional unit produced.

Break-Even Point

• At the break-even point, there is neither profit nor loss.

Break-Even Analysis

• Shows the relationships between sales revenue, variable production costs, variable non-production costs, contribution, and fixed costs to derive a profit of zero.

• At the break-even point, profit equals zero.

Break-Even Point

• A company breaks even when total contribution equals fixed costs.

Break-Even Point Equation

• The equation to calculate the break-even point in sales volume is:

  • $Sales \ Volume = \frac{Fixed \ Costs}{Contribution \ per \ Unit}$

• At the break-even point, the amount required to generate a profit is zero.

Break-Even Point Equation

• The break-even point (BEP) can be calculated using the formula:

  • $B.E.P = \frac{Fixed \ Costs}{Contribution \ per \ Unit}$

• This calculates the contribution required to break even.

Break-Even Point Example 1

• Brew & Bake Ltd Example:

  • A box of 10 coffee packets has a variable cost of £12.50 and a selling price of £20.50.

  • Total fixed costs are £60,000 per year.

• Calculate the break-even point to find out how many boxes must be sold to achieve zero profit.

Break-Even Point Formula

• Illustrates the break-even point formula:

  • $B.E.P = \frac{Fixed \ Costs}{Contribution \ per \ Unit}$

Break-Even Point Example 2

• The Birmingham Telegraph newspaper:

  • Sells for £1.20 with a variable cost of £0.40 per copy.

  • Fixed costs are £116,000 per week.

• Calculate how many copies must be sold to break even.

  • $B.E.P = \frac{Fixed \ Costs}{Contribution \ per \ Unit}$

Break-Even Point Example 3

• Professor Salt Ltd:

  • Sells a carbonated soft drink for £1.60 per bottle.

  • Variable costs per bottle: direct materials (£0.10), direct labor (£0.25), variable production overhead (£0.35), and variable selling cost (£0.30).

  • Fixed costs per week: fixed production costs (£80,000) and fixed selling costs (£40,000).

  • Total variable costs = £1 per bottle.

Break-Even Point Calculation

• The break-even point in units (bottles) is calculated using:

  • $B.E.P = \frac{Fixed \ Costs}{Contribution \ per \ Unit}$

Profit-Volume (PV) Ratio

• For Professor Salt Ltd:

  • Selling price: £1.60 per bottle.

  • Variable costs: £1 per bottle.

  • Contribution: £0.60 per bottle.

• PV ratio is calculated as:

  • $PV \ Ratio = \frac{Contribution \ per \ Unit}{Selling \ Price \ per \ Unit}$

Break-Even Revenue

• Break-even revenue is computed as:

  • $Break-even \ Revenue = \frac{Fixed \ Costs}{PV \ Ratio}$

• This calculates the contribution required.

• Calculate the break-even revenue for Professor Salt Ltd using this formula.

Break-Even Analysis in Modern Business is a critical tool for understanding how much revenue must be generated to cover fixed costs while exploring profit potential as sales increase. To accurately determine the break-even revenue, one must first identify the fixed costs and the contribution per unit, which are essential for applying the formula effectively.