Hatch Company has two divisions, O and E. During the year just ended, Division O had a segment margin of $9,000 and variable expenses equal to 70% of sales. Traceable fixed expenses for Division E were $19,000. Hatch Company as a whole had a contribution margin ratio of 40%, a segment margin of $25,000, and sales of $200,000. Given this data, the sales for Division E for last year were:
|
$150,000 | |
$87,500 | |
→ | $50,000 |
Total | O | E | |
Sales | $200,000 | ||
Variable expenses | |||
Contribution margin | |||
Traceable fixed expenses |
19,000
| ||
Segment margin | 25,000 |
$9,000
|
?
|
Common fixed expenses | |||
Net operating income |
E segment margin = Total segment margin - O segment margin = $25,000 - $9,000 = $16,000 |
Total | O | E | |
Sales | $200,000 | ||
Variable expenses | |||
Contribution margin | ? | ||
Traceable fixed expenses |
19,000
| ||
Segment margin | 25,000 |
$9,000
|
$16,000
|
Common fixed expenses | |||
Net operating income |
E segment margin = E contribution margin - E traceable expenses |
E contribution margin = E segment margin + E traceable expenses |
$16,000 + $19,000 = $35,000 |
Total | O | E | |
Sales | $200,000 | ||
Variable expenses | |||
Contribution margin | ? | 35,000 | |
Traceable fixed expenses |
19,000
| ||
Segment margin | 25,000 |
$9,000
|
$16,000
|
Common fixed expenses | |||
Net operating income |
Total contribution margin = Total sales × Total contribution margin ratio = $200,000 × 0.40 = $80,000 |
Total | O | E | |
Sales | $200,000 | ||
Variable expenses | |||
Contribution margin | 80,000 | ? | 35,000 |
Traceable fixed expenses |
19,000
| ||
Segment margin | 25,000 |
$9,000
|
$16,000
|
Common fixed expenses | |||
Net operating income |
Total contribution margin = O contribution margin + E contribution margin |
O contribution margin = Total contribution margin - E contribution margin = $80,000 - $35,000 = $45,000 |
Total | O | E | |
Sales | $200,000 | ? | |
Variable expenses | |||
Contribution margin | 80,000 | 45,000 | 35,000 |
Traceable fixed expenses |
19,000
| ||
Segment margin | 25,000 |
$9,000
|
$16,000
|
Common fixed expenses | |||
Net operating income |
O CM ratio = 1 - O variable expense ratio = 1 - $0.70 = 0.30 |
O contribution margin = O CM ratio × O sales |
$45,000 = 0.30 × O sales |
O sales = $45,000 ÷ 0.30 = $150,000 |
Total | O | E | |
Sales | $200,000 | $150,000 | ? |
Variable expenses | |||
Contribution margin | 80,000 | 45,000 | 35,000 |
Traceable fixed expenses |
19,000
| ||
Segment margin | 25,000 |
$9,000
|
$16,000
|
Common fixed expenses | |||
Net operating income |
Total sales = O sales + E sales |
E sales = Total sales - O sales = $200,000 - $150,000 = $50,000 |
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