determine the company’s break-even point, the numbers sold to meet the company’s target profit and contribution income statement for both outcomes, ABX Corporation sold 500,000 units at $65/unit. Fixed cost are $12,500,000 per year. Variable costs are $30 per unit. ABX Corporation desires a target profit of $5,500,000 per year.
Break-even point = Fixed costs / ( Selling price per unit - Variable cost per unit ) = 12500000 / ( 65 - 30 ) | 357143 |
Number of units sold to meet target profit = ( Target profit + Fixed costs ) / ( Selling price per unit - Variable cost per unit ) = ( 5500000 + 12500000 ) / ( 65 - 30 ) | 514286 |
Contribution format income statement at break-even point : | ||
Total | Per unit | |
Sales | 23214295 | 65 |
Variable cost | 10714290 | 30 |
Contribution margin | 12500005 | 35 |
Fixed costs | 12500000 | |
Profit | 5 | |
Contribution format income statement at the target profit point : | ||
Total | Per unit | |
Sales | 33428590 | 65 |
Variable cost | 15428580 | 30 |
Contribution margin | 18000010 | 35 |
Fixed costs | 12500000 | |
Profit | 5500010 |
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