Break Even Analysis

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13. Healthy Foods, Inc., sells 50-pound bags of grapes to the military for $10 a bag. The fixed costs of this operation are $80,000, while the variable costs of the grapes are $.10 per pound. a. What is the break-even point in bags? Fixed costs $80,000 80,000 = 16,000 Bags Contribution margin 10-5 5 b. Calculate the profit or loss on 12,000 bags and on 25,000 bags. 12,000 Bags: 12,000 x $10 (cost per bag) = 120,000 120,000- 80,000 (fixed cost) = 40,000 Variable cost = 12,000 x $5 (variable cost per bag) = 60,000 40,000-60,000 = -20,000 Loss of $20,000 25,000 Bags: 25,000 x $10 (cost per bag) = 250,000 250,000- 80,000 (fixed cost) = 170,000 Variable cost = 25,000 x $5 ( variable cost per bag) =125,000 170,000-125,000 = 45,000 Profit of $45,000 c. What is the degree of operating leverage at 20,000 bags and at 25,000 bags? Why does the degree of operating leverage change as the quantity sold increases? 20,000 bags: DOL= 20,000(5) = 100,000 = 5 (20,000 x 5) – 80,000 20,000 DOL = 5 25,000 bags: DOL= 25,000(5) = 125,000 = 2.8 (25,000 x 5) – 80,000 45,000 DOL= 2.8 The degree of operating leverage changes because the company is increasing or decreasing in profit. As the profit increases, the leverage decreases. d. If Healthy Foods has an annual interest expense of $10,000, calculate the degree of financial leverage at both 20,000 and 25,000 bags. 20,000 bags: 200,000- 80,000 (fixed cost)- 100,000 (variable cost)= $20,000 DFL= 20,000 = 2 20,000 – 10,000 DFL= 2 25,000 bags: DFL= 45,000 = 1.29 45,000 – 10,000 DFL=1.29 e. What is the degree of combined leverage at both sales levels? DCL= DOL x DFL 20,000 Bags: DCL=

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