Answer:
Break-even sales in dollars = $23,273
Explanation:
The break-even point is the selling price at which the selling price, equals the cost of production. no profit is made, but no loss is incurred too.
we will use the formula for calculating required selling price, to calculate the break-even price as follows:
Required selling price = (Fixed costs + Target profit) ÷ (Contribution margin ratio)
Contribution margin ratio = Contribution margin ÷ net sales revenue
Contribution margin = sales price - variable cost
contribution margin = 40 - 18 = $22
Net sales revenue = $40
∴ contribution margin ratio = (Contribution margin ÷ net sales revenue) × 100
= 22 ÷ 40 = 55.00% = 0.55
∴ Required selling price = (Fixed costs + Target profit) ÷ (Contribution margin ratio)
Required selling price = (12,800 + 0) ÷ 55.00%
= 12,800 ÷ 0.55 = 23,272.7 = 23,273 (to the nearest dollars)
Break-even sales in dollars = $23,273
