Breakeven point is best defined as total revenue equal to

Question

BlackTom AI · Accepted Answer

Breakeven occurs when total revenue equals total costs, because at that point the firm makes zero economic profit (no loss and no gain).

1) Relevant concepts:
- Fixed costs: costs that do not change with output (e.g., rent, salaries).
- Variable costs: costs that vary with output (e.g., materials per unit).
- Total costs = Fixed costs + Total variable costs.
- Contribution margin per unit = Price per unit − Variable cost per unit.
- Breakeven point: the output (or sales revenue) at which Profit = Total Revenue − Total Costs = 0.

2) Step-by-step reasoning:
- Profit = Total Revenue − Total Costs. Setting Profit = 0 gives Total Revenue = Total Costs.
- In unit terms, if P = price per unit, V = variable cost per unit, F = total fixed costs, and Q = quantity at breakeven:
  Profit = P·Q − (F + V·Q) = 0 → P·Q − V·Q = F → (P − V)·Q = F.
- Therefore Qbreakeven = F / (P − V). This shows breakeven is the quantity where revenue from sales exactly covers both variable and fixed costs.

3) Calculation example with intermediate steps:
- Let F = $10,000, P = $50, V = $30.
- Contribution margin per unit = P − V = $20.
- Qbreakeven = F / (P − V) = 10,000 / 20 = 500 units.
- Total revenue at breakeven = P·Q = 50 · 500 = $25,000.
- Total variable cost = V·Q = 30 · 500 = $15,000.
- Total costs = F + Total variable cost = 10,000 + 15,000 = $25,000.
- Hence Total Revenue ($25,000) = Total Costs ($25,000).

4) Why the correct answer is correct:
- By definition breakeven is the point where profit is zero; algebraically and numerically this means total revenue equals total costs (fixed plus variable).

5) Why other possible choices would be incorrect:
- Total revenue = total profit is wrong because profit would be revenue minus costs; equality only if costs = 0.
- Total revenue = total variable costs is wrong because fixed costs would then be uncovered (unless fixed costs are zero).
- Total revenue = total fixed costs is wrong except in the special case of zero variable costs.

6) Conclusion:
This confirms the breakeven point is best defined as total revenue equal to total costs, matching the provided answer: total costs.

Breakeven point is best defined as total revenue equal to单项选择题

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