In: Accounting
Wildhorse 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 | $1,750,000 | Selling expenses—variable | $108,000 | |||
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Direct materials | 450,000 | Selling expenses—fixed | 54,000 | |||
Direct labor | 400,000 | Administrative expenses—variable | 22,000 | |||
Manufacturing overhead—variable | 420,000 | Administrative expenses—fixed | 71,000 | |||
Manufacturing overhead—fixed | 120,000 |
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Answer:
1 | Break even point | 3,402,778 units |
2 | Break even point | $1,701,389 |
3 | Contribution margin | 14.40% |
4 | Margin of safety | 2.78% |
5 | Required sales to get $240,852 net income | 3373972% |
Calculations:
Current sales in units = $1,750,000 ÷ $0.50 = 3,500,000 units
Income Statement:
Income Statement | ||
Sales | $1,750,000 | |
Variable costs: | ||
Direct materials | $450,000 | |
Direct labor | $400,000 | |
Manufacturing overhead | $420,000 | |
Selling expenses | $120,000 | |
Administrative expenses | $108,000 | |
Total variable costs | $1,498,000 | |
Contribution margin | $252,000 | |
Fixed costs: | ||
Manufacturing overhead | $120,000 | |
Selling expenses | $54,000 | |
Administrative expenses | $71,000 | |
Total fixed costs | $245,000 | |
Net income | $7,000 |
Contribution margin per unit = $252,000 ÷ 3,500,000 = $0.072
1.Break even point in units = Total fixed cost ÷ Contribution margin per unit = $245,000 ÷ $0.072 = 3,402,778 units
2.Break even point in dollars = 3,402,778 units x $ 0.50 = $1,701,389
3.Contribution margin ratio = Contribution margin ÷ Sales = $252,000 ÷ $1,750,000 = 0.144 or 14.40%
4.Margin of safety = (Current Sales - Break-even sales) ÷ Current sales = ($1,750,000 - $1,701,389) ÷ $1,750,000 = 0.0278 or 2.78%
5.Sales to get $240,852 profit = (Fixed cost + Required profit ) ÷ Contribution margin ratio = ($245,000 + $240,852) ÷ 14.40% = $3,373,972