124k views
4 votes
You have been provided with the following information: If sales decrease by 500 units, how much will fixed expenses have to be reduced by to maintain the current operating profit of $6,000?

1 Answer

7 votes

Answer:

$3,000

Step-by-step explanation:

Per Unit Total

Sales $15 $45,000

Less variable expenses $9 -$27,000

Contribution margin $6 $18,000

Less fixed expenses -$12,000

Operating profit $6,000

first we must calculate total unit sales = $45,000 / $15 = 3,000 units

if 500 less units are sold, then the total contribution margin will be $15,000, and if you want to keep operating profit at $6,000, your fixed expenses must equal:

contribution margin - fixed expenses = operating profit

$15,000 - fixed expenses = $6,000

$15,000 - $6,000 = fixed expenses

$9,000 = fixed expenses

since the current fixed expenses are $12,000 and you need them to be $9,000, they must be reduced by $3,000

User Arvanem
by
5.1k points