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The Sterling Tire Company\'s income statement for 20X1 is as follows STERLING TI

ID: 2807738 • Letter: T

Question

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 (21,000 tires at $62 each) Variable costs (21,000 tires at S31) Fixed costs Earnings before interest and taxes (EBIT) Interest expense Earnings before taxes (EBT) Income tax expense (20%) Earnings after taxes (EAT) $ 1,302,000 651,000 410,000 $ 241,000 50,500 $ 190,500 38,100 $ 152,400 a. Compute the degree of operating leverage. (Round your answer to 2 decimal places.) Degree of operating leverage b. Compute the degree of financial leverage. (Round your answer to 2 decimal places.) Degree of financial leverage c. Compute the degree of combined leverage. (Round your answer to 2 decimal places.) Degree of combined leverage d. Compute the break-even point in units. (Round your answer to the nearest whole number.) Break-even point units

Explanation / Answer

Sterling Tire Company

Q = 21,000, P = $62, VC = $31, FC = $410,000, I= $50,500

a.         DOL = Q(P - VC) / Q(P- VC) FC

                        = 21,000($62-$31) / 21,000($62 - $31) - $410,000

                        = 21,000($31) / 21,000($31) - $410,000

                        = $651,000 / $651,000 - $410,000

                        = $651,000 / $241,000

                        = 2.70x

b.         DFL = EBIT / EBIT I

                       

                        = $241,000 / $241,000 - $50,500

                        = $241,000 / $190,500

                        = 1.27x

c.         DCL= Q(P - VC) / Q(P-VC)- FC-I

                        = 21,000($62 - $31)/ 21,000($62-$31)-$410,000-$50,500

                        = $651,000 / $651,000-$410,000-$50,500

                        = $651,000 / $190,500

                        = 3.42x

d.         BE= $410,000 / $62 - $31

= $410,000 / $31

= 13,226 units

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