Harmony sells a product for $50 per unit. Variable costs per unit are $18, and monthly fixed costs are $252,800. a. What is the break-even point in units? b. What unit sales would be required to earn a target profit of $198,400? c. Assume they achieve the level of sales required in part b, what is the degree of operating leverage? (Round your answer to 2 decimal place.) d. If sales increase by 40% from that level, by what percentage will profits increase? (Round final answers to two decimal places.)
A |
Sale price per unit |
$50 |
|
B |
Variable cost per unit |
$18 |
|
C = A - B |
Contribution margin per unit |
$32 |
|
D |
Fixed Cost |
$252,800 |
|
E = D/C |
Break even in units |
7900 |
Answer [a] |
A |
Target profits |
$198,400 |
|
B |
Fixed Cost |
$252,800 |
|
C = A+B |
Total contribution margin |
$451,200 |
|
D |
Contribution margin per unit |
$32 |
|
E = C/D |
Units required to attain target profits |
14100 |
Answer [b] |
F = C/A |
Degree of operating leverage |
2.27 |
Answer [c] |
G |
Increase in sale % |
40% |
|
H = F x G |
Profit will increase by % |
90.80% |
Answer [d] |
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