Question

In: Finance

a. Before you can compute the​ firm's break-even point in sales​ dollars, you need to compute...

a. Before you can compute the​ firm's break-even point in sales​ dollars, you need to compute some items on the​ firm's income statement.

The​ firm's operating assets are 3,600,000 and the operating asset turnover is 7 times. What are the​ firm's sales​ revenues?

​$nothing  

​(Round to the nearest​ dollar.)

The​ firm's operating assets are 3,600,000

and the return on operating assets is 34%. What is the​ firm's EBIT?

​$nothing

​(Round to the nearest​ dollar.)

Given the degree of operating leverage of

4 times the sales and EBIT computed in previous​ steps, what are the​ firm's total variable​ costs?

​$nothing

​ (Round to the nearest​ dollar.)

Based on the computed​ sales, EBIT, and variable​ costs, what are the​ firm's total fixed​ costs?

​$nothing  

​(Round to the nearest​ dollar.)

Output level

78,000 units

Operating assets

​3,600,000

Operating asset turnover

7 times

Return on operating assets

34​%

Degree of operating leverage

4 times

Interest expense

600,000

Tax rate

38​%

Solutions

Expert Solution

Ans. 1 Assets turnover = Sales / Operating assets
7 = Sales / $3,600,000
Sales = $3,600,000 * 7
Sales = $25,200,000
Ans. 2 Return on operating assets = EBIT / Operating assets
34% = EBIT / $3,600,000
EBIT =   $3,600,000 * 34%
EBIT =   $1,224,000
Ans. 3 Degree of operating leverage    =   Contribution margin / EBIT
4 = Contribution margin / $1,224,000
Contribution margin =   $1,224,000 * 4
Contribution margin =   $4,896,000
Total variable costs = Sales - Contribution margin
$25,200,000 - $4,896,000
$20,304,000
Ans. 4 Total Fixed cost = Contribution margin - EBIT  
$4,896,000 - $1,224,000
$3,672,000
BREAK   EVEN   CALCULATIONS:
Contribution margin ratio   = Contribution margin / Sales * 100
$4,896,000 / $25,200,000 * 100
19.43%
Break even point in dollar sales =   Fixed cost / Contribution margin ratio
$3,672,000 / 19.43%
$18,898,610 (rounded)

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