Scent Fragrance Company manufactures and sells several ranges of
perfumes. The Average revenue and cost of sales are as follows:
Selling price per unit $20.00
Variable costs per unit:
Direct materials | $4.00 |
Direct manufacturing labor | $1.60 |
Manufacturing overhead | $0.40 |
Selling costs | $2.00 |
Annual fixed costs | $96,000 |
Required:
a) Calculate the contribution margin per unit.
b) Calculate the number of units Scent Fragrance Company must sell
each year to break even.
c) Calculate the number of units Scent Fragrance Company must sell
to yield a profit of $144,000.
a)
Selling price per unit | $ 20.00 |
Less: Variable costs | |
Direct material | $ (4.00) |
Direct manufacturing labor | $ (1.60) |
Manufacturing overhead | $ (0.40) |
Selling cost | $ (2.00) |
Contribution margin | $ 12.00 |
b)
Break even point in units = Fixed costs / Contribution margin per unit |
Break even point in units = $96,000 / $12 |
Break even point in units = 8,000 Units |
c)
Net income = Sales - variable costs - Fixed costs
Assume number of units as 'y', then
$144,000 = $20y - ($4+$1.6+$0.4+$2)y - $96,000 |
$144,000 + $96,000 = $20y - $8y |
$240,000 = $12y |
y = $240,000 / 12 |
y = 20,000 units |
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