Define breakeven analysis and the formula for calculating the break-even point in units.

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Multiple Choice

Define breakeven analysis and the formula for calculating the break-even point in units.

Breakeven analysis focuses on finding the point where revenue just covers all costs. The break-even point in units is fixed costs divided by the contribution per unit, with contribution per unit defined as price minus variable cost per unit. So break-even units = fixed costs / (price − variable cost per unit). This works because total revenue is P × Q and total costs are fixed costs plus VC × Q; at break-even, P × Q = FC + VC × Q, which rearranges to Q = FC / (P − VC). This means once you sell that many units, fixed costs are covered and any additional unit adds profit. For example, if fixed costs are 50,000, price is 20, and variable cost per unit is 12, the break-even point is 50,000 / (20 − 12) = 6,250 units. The other options misstate the concept: they either ignore variable costs, focus on maximum profit, or relate to cash flow timing rather than the revenue-to-cost balance.

Breakeven analysis focuses on finding the point where revenue just covers all costs. The break-even point in units is fixed costs divided by the contribution per unit, with contribution per unit defined as price minus variable cost per unit. So break-even units = fixed costs / (price − variable cost per unit). This works because total revenue is P × Q and total costs are fixed costs plus VC × Q; at break-even, P × Q = FC + VC × Q, which rearranges to Q = FC / (P − VC). This means once you sell that many units, fixed costs are covered and any additional unit adds profit. For example, if fixed costs are 50,000, price is 20, and variable cost per unit is 12, the break-even point is 50,000 / (20 − 12) = 6,250 units. The other options misstate the concept: they either ignore variable costs, focus on maximum profit, or relate to cash flow timing rather than the revenue-to-cost balance.

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