In: Accounting
Sheridan Company bottles and distributes B-Lite, a diet soft
drink. The beverage is sold for 50 cents per 16-ounce bottle to
retailers, who charge customers 75 cents per bottle. For the year
2020, management estimates the following revenues and
costs.
sales | $2,000,000 | Selling expenses—variable | $212,000 | |||
Direct materials | 480,000 | Selling expenses—fixed | 50,000 | |||
Direct labor | 330,000 | Administrative expenses—variable | 28,000 | |||
Manufacturing overhead—variable | 350,000 | Administrative expenses—fixed | 90,000 | |||
Manufacturing overhead—fixed | 280,000 |
A)
Compute the break-even point in (1) units and (2) dollars.
(Round answers to 0 decimal places, e.g.
1,225.)
1. Break-even point in units = 2,800,000 bottles
2. Break-even point in dollars = $1,400,000
Explanation:
Variable cost per bottle percentage on sales = (Total variable cost / Total sales) × 100
Total variable costs = Direct materials + Direct labor + Manufacturing overhead-variable + Selling expense-variable + Administrative expense-variable = $480,000 + $330,000 + $350,000 + $212,000 + $28,000 = $1,400,000
Total sales = $2,000,000
Variable cost per bottle percentage = ($1,400,000 / $2,000,000) × 100 = 70%
Variable cost per bottle = 70% of selling price per bottle = 70% × 50 cent per bottle = 35 cent per bottle
Contribution margin per bottle = Selling price per bottle - Variable cost per bottle = .50 - .35 = .15 per bottle
Fixed cost = Manufacturing overhead-Fixed + Selling expense-Fixed + Administrative expense-Fixed = $280,000 + $50,000 + $90,000 = $420,000
1. Break-even point in units = Fixed cost / Contribution margin = $420,000 / .15 = 2,800,000 units
2. Break-even point in dollars = Fixed cost / Contribution margin ratio
Fixed cost = $420,000
Contribution margin ratio = Contribution margin per unit / Sales per unit = .15 / .50 = 0.30 = 30%
Break-even point in dollars = $420,000 / 30% = $1,400,000