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Degree of operating leverage   Grey Products has fixed operating costs of $ 382 comma 000​, variable...

Degree of operating leverage   Grey Products has fixed operating costs of $ 382 comma 000​, variable operating costs of $ 15.93 per​ unit, and a selling price of $ 63.05 per unit. a. Calculate the operating breakeven point in units. b. Calculate the​ firm's EBIT at 11 comma 000​, 12 comma 000​, and 13 comma 000 ​units, respectively. c. With 12 comma 000 units as a​ base, what are the percentage changes in units sold and EBIT as sales move from the base to the other sales levels used in part ​(b​)? d. Use the percentages computed in part ​(c​) to determine the degree of operating leverage​ (DOL). e. Use the formula for degree of operating leverage to determine the DOL at 12 comma 000 units.

a. The operating breakeven point is nothing units. ​ (Round to the nearest​ integer.)

Solutions

Expert Solution

a.Operating break even point = Fixed costs/(Selling price per unit - variable costs per unit)
=382,000/(63.05-15.93)
8106.961 units
b.Units           11,000           12,000           13,000
Contribution Margin i.e. Sales - variable costs        518,320        565,440        612,560
Less: Fixed costs        382,000        382,000        382,000
EBIT        136,320        183,440        230,560
% change in Sales -8.33% 8.33%
% change in EBIT -25.69% 25.69%
DOL = % change in EBIT/% Change in Sales 3.08242477 3.08242477
e.DOL = Contribution margin/EBIT 3.08242477

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