Question

In: Accounting

Sheridan Company bottles and distributes B-Lite, a diet soft drink. The beverage is sold for 50...

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.)

Solutions

Expert Solution

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


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