The Sterling Tire Company’s income statement for 20X1 is as follows:
STERLING TIRE COMPANY | ||
Income Statement | ||
For the Year Ended December 31, 20X1 | ||
Sales (22,000 tires at $64 each) | $ | 1,408,000 |
Variable costs (22,000 tires at $32) | 704,000 | |
Fixed costs | 420,000 | |
Earnings before interest and taxes (EBIT) | $ | 284,000 |
Interest expense | 51,000 | |
Earnings before taxes (EBT) | $ | 233,000 |
Income tax expense (25%) | 58,250 | |
Earnings after taxes (EAT) | $ | 174,750 |
a. Compute the degree of operating leverage.
(Round your answer to 2 decimal places.)
b. Compute the degree of financial leverage.
(Round your answer to 2 decimal places.)
c. Compute the degree of combined leverage.
(Round your answer to 2 decimal places.)
d. Compute the break-even point in units.
(Round your answer to the nearest whole number.)
a. The degree of operating leverage is computed as follows:
= (Sales - variable cost) / EBIT
= ($ 1,408,000 - $ 704,000) / $ 284,000
= $ 704,000 / $ 284,000
= 2.48
b. The degree of financial leverage is computed as follows:
= EBIT / EBIT
= $ 284,000 / $ 233,000
= 1.22
c. The degree of combined leverage is computed as follows:
= (Sales - variable cost) / EBT
= ($ 1,408,000 - $ 704,000) / $ 233,000
= $ 704,000 / $ 233,000
= 3.02
d. The break even point is computed as follows:
= Fixed costs / (Selling price per unit - variable cost per unit)
= $ 420,000 / ($ 64 - $ 32)
= $ 420,000 / $ 32
= 13,125 units
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