Question

Company A is a manufacturer with sales of $3,500,000 and a 50% contribution margin. Its fixed costs equal $1,320,000. CompanyDegree of Operating Leverage Denominator Choose: Numerator Ratio = Degree of Operating Leverage Company A Company B < DOL ComDOL Company Benefits esementes Which company benefits more from a 20% increase in sales. Which company benefits more from a 2

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Answer:

Computation of Degree of operating leverage (DOL) for each company

Degree of operating leverage (DOL) = Contribution Margin / Operating Income

Contribution Margin Income Statement
Particulars Company A Company B
Sales $3,500,000 $3,600,000
Contribution Margin % 50% 20%
Contribution Margin $1,750,000 $720,000
Less: Fixed Costs $1,320,000 $270,000
Operating Income $430,000 $450,000
Degree of Operating Leverage
Choose: Numerator / Denominator = Ratio
/ = Degree of Operating Leverage
Company A $1,750,000 / $430,000 = 4.07
Company B $720,000 / $450,000 = 1.6

Company Benefits:

Given that there is 20% increase in company sales

If there is an increase in sales the company with Higher Degree of operating leverage (DOL) will benefit more as there is higher change in operating income (Positive).

Hence in the given case Company A will benefit more as it is having Higher Degree of operating leverage (DOL) than Company B.

Revised Contribution Margin Income Statement
Particulars Company A Company B
Sales (Original Sales * 120%) $4,200,000 $4,320,000
Contribution Margin % 50% 20%
Contribution Margin $2,100,000 $864,000
Less: Fixed Costs $1,320,000 $270,000
Operating Income $780,000 $594,000

% change in Operating income of Company A = {($780,000 - $430,000) / $430,000} * 100

                                                                          = $350,000 / $430,000 * 100

                                                                           = 81.39% or 81.4%

% change in Operating income of Company B = {($594,000 - $450,000) / $450,000} * 100

                                                                          = $144,000 / $450,000 * 100

                                                                          = 32%

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