1. |
Compute the company’s break-even point in unit sales and in dollar sales.
Explanation:
Profit | = | (Unit CM × Q) − Fixed expenses |
$0 | = | (($100 − $70) × Q) − $129,000 |
$0 | = | ($30 × Q) − $129,000 |
$30Q | = | $129,000 |
Q | = | $129,000 ÷ $30 per stove |
Q | = | 4,300 stoves, or at $100 per stove, $430,000 in sales |
Unit sales to break even | = |
Fixed expenses
|
Unit contribution margin |
| = |
$129,000
| = 4,300 stoves |
| $30 per stoves |
or at $100 per stove, $430,000 in sales |
2. |
An
increase in variable expenses as a percentage of the selling price
would result in a higher break-even point. If variable expenses increase
as a percentage of sales, then the contribution margin will decrease as
a percentage of sales. With a lower CM ratio, more stoves would have to
be sold to generate enough contribution margin to cover the fixed
costs.
|
3. |
Proposed number of stoves: 19,000 stoves × 1.25 = 23,750 stoves |
Proposed sales price of stoves: $100 per stove × 0.9 = $90 per stove |
A 25% increase in volume is not enough to offset a 10% reduction in the selling price; thus, net operating income decreases.
|
Profit | = | (Unit CM × Q) − Fixed expenses |
$71,000 | = | (($90 − $70) × Q) − $129,000 |
$71,000 | = | ($20 × Q) − $129,000 |
$20Q | = | $200,000 |
Q | = | $200,000 ÷ $20 per stove |
Q | = | 10,000 stoves |
Unit sales to attain target profit | = |
Target profit + Fixed expenses
|
Unit contribution margin |
| | | |
| = |
$71,000 + $129,000
$20
| = 10,000 stoves |
|
|
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