In: Accounting
Contribution Margin, CVP, Net Income, Margin of Safety
Nail Glow, Inc., produces novelty nail polishes. Each bottle sells for $5.90. Variable unit costs are as follows:
| Acrylic base | $0.86 | Bottle, packing material | $1.15 | |||
| Pigments | 0.57 | Selling commission | 0.14 | |||
| Other ingredients | 0.43 |
Fixed overhead costs are $34,475 per year. Fixed selling and administrative costs are $6,720 per year. Nail Glow sold 35,000 bottles last year.
Required:
1. What is the contribution margin per unit for
a bottle of nail polish? Round your answer to the nearest
cent.
$ per unit
What is the contribution margin ratio? Round your answer to four decimal places. Use the rounded value in the subsequent computations. (Express as a decimal-based amount rather than a whole percent.)
2. How many bottles must be sold to break
even?
bottles
What is the break-even sales revenue? Round your answer to the
nearest dollar, if rounding is required. Use the rounded value in
the subsequent computations.
$
3. What was Nail Glow’s operating income last
year?
$
4. What was the margin of safety in
revenue?
$
5. Suppose that Nail Glow, Inc., raises the
price to $6.50 per bottle, but anticipated sales will drop to
28,750 bottles. What will the new break-even point in units be?
Round your answer to the nearest whole number of units.
bottles
| ans 1 | |||
| Selling price S | 5.9 | ||
| Less: variable expenses | |||
| Acrylic base | 0.86 | ||
| Pigments | 0.57 | ||
| Other ingredients | 0.43 | ||
| Bottle, packing material | 1.15 | ||
| Selling commission | 0.14 | 3.15 | |
| Contribution margin C | $2.75 | per unit | |
| Contribution margin ratio | |||
| C/S | |||
| 2.75/5.9 | 0.4661 | ||
| ans 2 | |||
| Break even in units | |||
| Fixed Cost/CM per unit | |||
| 41195/2.75 | 14980 | units | |
| Fixed cost 34475+6720 | 41195 | ||
| Breakeven in $ | |||
| 41195/.4661 | $88382 | ||
| ans 3 | |||
| Operating income | |||
| Sales (35000*5.9) | 206500 | ||
| Less: variable cost (35000*3.15) | 110250 | ||
| Contribution margin | 96250 | ||
| Less: fixed cost | 41195 | ||
| Net operating Income | $55055 | ||
| ans 4 | |||
| Margin of safety | $118118 | ||
| Budgeted sales-Breakeven sales | |||
| 206500-88382 | |||
| ans 5 | |||
| Break even in units | 12297 | ||
| Fixed Cost/CM per unit | |||
| 41195/(6.5-3.15) | |||
| If any doubt please comment | |||
| If satisfied you can rate' |