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The Spitfire Model Airplane Company has the following modified income statement ($000) at 100,000 units of...

The Spitfire Model Airplane Company has the following modified income statement ($000) at 100,000 units of production.

Revenue $16,000
Variable Cost 6,100
Fixed Cost 8600
EBIT $1,300
Interest(@10%) 500
EBT $800
Tax (@40%) 320
EAT $480
Number of shares 20,000
  1. What are Spitfire's contribution margin and dollar breakeven point? Enter your contribution margin answer in decimals and not in percentage. Enter your break-even sales answer in whole dollars. For example, an answer of $1 thousand should be entered as 1,000, not 1. Do not round intermediate calculations.
    CM (to two decimal places)
    SB/E (to the nearest dollar) $
  2. Calculate Spitfire's current DFL, DOL, and DTL. Round the answers to two decimal places. Do not round intermediate calculations.
    DFL
    DOL
    DTL
  3. Calculate the current EPS and estimate what it would become if sales declined by 25%. Use the DTL first and then recalculate the modified income statement. (Assume a negative EBT generates a negative tax.) Round your answers to two decimal places. Use a minus sign to indicate a negative answer. Do not round intermediate calculations.
    EPS (using DTL) $
    EPS (using modified income statement) $

Solutions

Expert Solution

Ans.

Sales $            16,000.00
Less : Variable Cost $            (6,100.00)
Contribution $               9,900.00
Less: Fixed Cost $            (8,600.00)
EBIT $               1,300.00
Less : Interest $                (500.00)
EBT $                  800.00
Less : Taxes $                (320.00)
Net Income $                  480.00

a)

Contribution Margin = Contribution / Sales = $ 9,900 / $ 16,000 = 0.61875 = 0.62

Break Even Sales ( Dollars) = Fixed Cost / Contribution margin = $8,600 / 0.61875 = $ 13,899

b)

Degree of Financial Leverage = EBIT / EBT = $ 1,300 / $800 = 1.625 or 1.63

Degree of Operating Leverage = Contribution / EBIT = $ 9,900 / $ 1,300 = 7.61538 or 7.62

Degree of Total Leverage = DOL * DFL = Contribution / EBIT * EBIT / EBT = Contribution / EBT = $ 9,900 / 800 = 12.375.

c)

Current EPS = Net Income / Number of Shares = $ 480 / 20,000 = 0.024

If sales declined by 25%

EPS (Using DTL) = 309.375% [( DTL * 25% ) = 12.375 * 25%]  decrease in EPS i.e $ 0.024 - 309.375% = - $ 0.05025

EPS (using modified income statement)

Current Forecast If Sales are Percent 25% Lower Deviation
Sales $            16,000.00 $           12,000.00 -25%
Less : Variable Cost $            (6,100.00) $           (4,575.00) -25%
Gross Profit $               9,900.00 $              7,425.00 -25%
Less: Fixed Cost $            (8,600.00) $           (8,600.00) 0%
EBIT $               1,300.00 $           (1,175.00) -190%
Less : Interest $                (500.00) $               (500.00) 0%
EBT $                  800.00 $           (1,675.00) -309.375%
Less : Taxes $                (320.00) $                 670.00 -309.375%
Net Income (a) $                  480.00 $           (1,005.00) -309.375%
Number of Shares (b)                 20,000.00                20,000.00
EPS (a / b) 0.024 -0.05025 -309.375%

EPS (using modified income statement) = - $ 0.05025


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