Answer:A)Plan I = $2.38; Plan II,= $2.12
B) Plan I = $3.57; Plan II = $3.78
C)The Break-even EBIT IS $638,400
Step-by-step explanation:
earning per share is given as
Earning per share = (Net income - interest ) ÷ (Number of shares)
and
a. if EBIT is $500,000
For Plan I when there is no interest on debt, we have that
EPS = ($500,000) / (210,000 shares) = $2.38
For Plan II, when interest rate on debt is 8%, We have that interest becomes
$2.28 million in debt outstanding x interest rate on debt of 8%
= $182,400
So thta the EPS on Plan II becomes
= ($500,000 - $182,400) / (150,000 shares) = $2.12
From the computation above we can see that Plan I has higher EPS
b.if EBIT is $750,000
For Plan I
EPS = ($750,000) /(210,000 shares) = $3.57
For Plan II, Using the interest as obtained from the solving above
EPS = ($750,000 - $182,400) / (150,000 shares) = $3.78
Here, Plan II has higher EPS
c. Break-even EBIT
This occurs when EPS (Plan 1) = EPS (Plan II)
(EBIT) /(Number of shares) = (EBIT - Interest) / Number of shares
(EBIT) /(210,000) = (EBIT - $182,400) /$150,000
(EBIT) = (EBIT - $182,400) /$150,000 X 210,000)
(EBIT) = (EBIT - $182,400) 1.4
(EBIT) = 1.4 EBIT-2553360
255360= 1.4 EBIT - EBIT
2553360= 0.4 EBIT
EBIT =2553360/0.4
EBIT =$638,400
The Break-even EBIT IS $638,400