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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

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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.

  1. 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 * 4/unit=4/unit = 200,000
  • Variable Costs = 40% of Sales = 0.40 * 200,000=200,000 = 80,000
  • Fixed Costs = $100,000

So:

  • Contribution Margin = 200,000200,000 - 80,000 = $120,000
  • Operating Profit = 120,000120,000 - 100,000 = $20,000

Therefore: DOL = 120,000/120,000 / 20,000 = 6

  1. 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/(20,000 / (20,000 - $7336) = 1.57

  1. 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.

This problem has been solved

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