Calculate Degree of Combined Leverage from the following data:- Sales 50,000 units @ 4 Per unit Variable Cost per unit 40% from sales priceFixed Costs - 100,000Interest charges - 3668*2 points7.3561.225.22SubmitClear form
Question
Calculate Degree of Combined Leverage from the following data:- Sales 50,000 units @ 4 Per unit Variable Cost per unit 40% from sales priceFixed Costs - 100,000Interest charges - 3668*2 points7.3561.225.22SubmitClear form
Solution
The Degree of Combined Leverage (DCL) can be calculated using the formula:
DCL = Degree of Operating Leverage (DOL) * Degree of Financial Leverage (DFL)
First, we need to calculate DOL and DFL.
- Calculate the Degree of Operating Leverage (DOL):
DOL = Contribution Margin / Operating Profit
Where:
- Contribution Margin = Sales - Variable Costs
- Operating Profit = Contribution Margin - Fixed Costs
Given:
- Sales = 50,000 units * 200,000
- Variable Costs = 40% of Sales = 0.40 * 80,000
- Fixed Costs = $100,000
So:
- Contribution Margin = 80,000 = $120,000
- Operating Profit = 100,000 = $20,000
Therefore: DOL = 20,000 = 6
- Calculate the Degree of Financial Leverage (DFL):
DFL = EBIT / (EBIT - Interest)
Where:
- EBIT (Earnings Before Interest and Taxes) = Operating Profit = $20,000
- Interest = 3668*2 = $7336
Therefore: DFL = 20,000 - $7336) = 1.57
- Finally, calculate the Degree of Combined Leverage (DCL):
DCL = DOL * DFL = 6 * 1.57 = 9.42
So, the Degree of Combined Leverage is 9.42.
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