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You have been provided with the following information

Sales $90,000
Less Variable Exp (54,000)
Contribution margin 36,000
Less Fixed Exp (24,000)
Operating Profit $12,000 If sales decrease by 10%, what level of fixed expenses will maintain the current operating profit?

Respuesta :

Answer:

$15000.

Explanation:

Given: Sales $90,000

Less Variable Exp (54,000)

Contribution margin 36,000

Less Fixed Exp (24,000)

Operating Profit $12,000

As sales decreases by 10%.

∴ Sales= [tex]Current\ sales- (current\ sales \times 10%)[/tex]

Sales= [tex]\$ 90000- (\$ 90000 \times \frac{10}{100} )[/tex]

Solving and opening the parenthesis.

Sales= [tex]\$90000- \$ 9000= \$ 81000[/tex]

Sales= $81000.

Now, computing to get fixed expense at which operating profit will remain same.

Contribution margin= sales- variable expense

⇒ Contribution margin= [tex]\$ 81000-\$ 54000= \$ 27000[/tex]

Fixed expense= Contribution margin - operating profit

[tex]Fixed\ expense= \$ 27000-\$ 12000= \$ 15000[/tex]

Fixed expense will $ 15000 at which operating profit will remain same.