Final answer:
The earnings per share (EPS) for Control Inc. during a strong economic expansion before any debt is issued would be 3.12.
Step-by-step explanation:
To calculate the earnings per share (EPS) for Control Inc. during a strong expansion period before any debt is issued, we start by determining the expected Earnings Before Interest and Taxes (EBIT) during this expansion.
The EBIT is projected to increase by 30% from the normal condition, which would be 6,000 x 1.30 = 7,800.
Since there is no debt, we don't need to account for interest, so the entire EBIT is available to shareholders.
Next, we divide the EBIT by the number of outstanding shares to find the EPS. With an EBIT of 7,800 and 2,500 shares outstanding, the EPS would be 7,800 / 2,500 = 3.12.