Step 1: Understanding Break-even Analysis.
Break-even analysis determines the level of sales at which total revenue equals total cost — i.e., no profit, no loss.
It helps managers identify the minimum output or sales volume required to avoid losses.
Step 2: Methods of calculation.
Break-even analysis can be calculated using:
- Graphical Method: Represented visually where the total cost and total revenue curves intersect.
- Mathematical Method: Calculated using the formula:
\[
\text{Break-even Point (in units)} = \frac{\text{Fixed Costs}}{\text{Selling Price per Unit – Variable Cost per Unit}}
\]
Hence, both graphical and mathematical methods are valid.
Step 3: Analysis of options.
- (1) Graphical method: Correct but not the only one.
- (2) Mathematical method: Also correct.
- (3) Both (A) and (B): Correct — both are recognized methods.
- (4) Neither (A) nor (B): Incorrect.
Step 4: Conclusion.
Therefore, Break-even analysis can be calculated by both the Graphical and Mathematical methods.