Answer:
The break-even EBIT using EPS is $1,288,000.
Explanation:
the break-even EBIT using EPS is the EBIT that will brings EPS under two different capital structure equal.
Denot X is the EBIT.
* We have: 
 + EPS in all-equity firm = X/460,000
 + EPS in levered firm = ( X - interest rate)/230,000 = ( X - 4,600,000 x 14%)/230,000 = (X - 644,000) / 230,000.
* We have the equation: 
X/460,000 = (X-644,000)/230,000 <=> X/460,000 = 2.8 <=> X = $1,288,000.
So, the break-even EBIT using EPS is $1,288,000.