Math Problem Statement

Calculate EPS for the following different financial plans: Plan A and Plan B with given details such as output, fixed cost, variable cost, selling price, interest expense, and number of equity shares.

Solution

To calculate the EPS (Earnings Per Share) for both financial plans A and B, we follow these steps:

Formula for EPS:

EPS=Net IncomeNumber of Equity Shares\text{EPS} = \frac{\text{Net Income}}{\text{Number of Equity Shares}}

To determine the net income:

  1. Revenue (Sales) = Output (Units) × Selling Price per Unit
  2. Total Variable Cost = Output (Units) × Variable Cost per Unit
  3. Total Cost = Fixed Cost + Total Variable Cost + Interest Expense
  4. Operating Profit (EBIT) = Revenue - Total Cost (excluding Interest)
  5. Net Income (Profit) = Operating Profit (EBIT) - Interest Expense

Plan A:

  1. Revenue: 15,000 units×75=11,25,00015,000 \text{ units} \times 75 = 11,25,000

  2. Total Variable Cost: 15,000 units×10=1,50,00015,000 \text{ units} \times 10 = 1,50,000

  3. Total Cost (without interest): Fixed Cost+Total Variable Cost=1,00,000+1,50,000=2,50,000\text{Fixed Cost} + \text{Total Variable Cost} = 1,00,000 + 1,50,000 = 2,50,000

  4. EBIT (Operating Profit): RevenueTotal Cost (without interest)=11,25,0002,50,000=8,75,000\text{Revenue} - \text{Total Cost (without interest)} = 11,25,000 - 2,50,000 = 8,75,000

  5. Net Income: EBITInterest Expense=8,75,00075,000=8,00,000\text{EBIT} - \text{Interest Expense} = 8,75,000 - 75,000 = 8,00,000

  6. EPS for Plan A: 8,00,00010,000=80\frac{8,00,000}{10,000} = 80


Plan B:

  1. Revenue: 10,000 units×90=9,00,00010,000 \text{ units} \times 90 = 9,00,000

  2. Total Variable Cost: 10,000 units×10=1,00,00010,000 \text{ units} \times 10 = 1,00,000

  3. Total Cost (without interest): Fixed Cost+Total Variable Cost=2,00,000+1,00,000=3,00,000\text{Fixed Cost} + \text{Total Variable Cost} = 2,00,000 + 1,00,000 = 3,00,000

  4. EBIT (Operating Profit): RevenueTotal Cost (without interest)=9,00,0003,00,000=6,00,000\text{Revenue} - \text{Total Cost (without interest)} = 9,00,000 - 3,00,000 = 6,00,000

  5. Net Income: EBITInterest Expense=6,00,00075,000=5,25,000\text{EBIT} - \text{Interest Expense} = 6,00,000 - 75,000 = 5,25,000

  6. EPS for Plan B: 5,25,00015,000=35\frac{5,25,000}{15,000} = 35


Final EPS values:

  • Plan A EPS: 80
  • Plan B EPS: 35

Would you like further details or clarifications? Here are a few questions you might want to explore:

  1. What impact does increasing the fixed cost have on EPS?
  2. How would changes in the interest expense affect the profitability?
  3. If variable costs increase, what is the effect on EPS for both plans?
  4. How does output level (units produced) influence the EPS in different scenarios?
  5. What are the financial risks associated with a higher fixed cost in Plan B?

Tip: Always assess the breakeven point to understand how changes in cost structure affect profitability.

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Math Problem Analysis

Mathematical Concepts

Earnings Per Share (EPS)
Profit Calculation
Financial Ratios

Formulas

EPS = Net Income / Number of Equity Shares
Net Income = Revenue - Total Costs
Revenue = Output (Units) × Selling Price per Unit
Total Variable Cost = Output (Units) × Variable Cost per Unit
Total Costs = Fixed Cost + Total Variable Cost + Interest Expense

Theorems

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Suitable Grade Level

College/University Level