Answer and Explanation:
The computation is shown below:
For the firm value of operations
Value of the firm's operations = {market price per share × number of outstanding shares ] - Additional cash needed
= [$30 × 5,000,000] - $30,000,000
= $150,000,000 - $30,000,000
= $120,000,000
Now shares after repurchase is
= Number of shares - (Additional cash needed ÷ per share value)
= 5,000,000 - ($30,000,000 ÷ $30)
= 5,000,000 - 1,000,000
= 4,000,000 shares