Question

In: Accounting

If variable costs per unit are 70% of sales, fixed costs are $290,000 and target net...

If variable costs per unit are 70% of sales, fixed costs are $290,000 and target net income is $70,000, required sales are $1,200,000

I know the answer is true but I don't know how/why. Can you please show your calculation? Thank you

Solutions

Expert Solution

Sales revenue required to Earn $70,000

A

Target profit

$        70,000.00

B

Fixed expenses

$      290,000.00

C=A+B

Total contribution margin required

$      360,000.00

D

Contribution margin ratio

30%

E=C/D

Sales revenue required to Earn $70,000

$ 1,200,000.00

What we are doing in here is we are considering required profit equal to Contribution.

Contribution is amount left after variable cost (Sales-Variable cost=Contribution)

Since variable cost is 70% it means Contribution margin is (100-70) 30%

So 30% of contribution is earned on every sales volume. Total contribution required is $360000 that is Total fixed cost +Target profit.

Since $360,000 is equal to 30% we just need to know what would 100% amount be. 100% amount is sales revenue.

Sales revenue to earn $360000= $360000/30 x 100=$1,200,000


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