Magenta Corporation wants to raise $50 million in a seasoned equity offering, net of all fees. Magenta stock currently sells for $10 pershare. The underwriters will require a spread of $0.50 per share, andindicate that the issue must be underpriced by 5 percent. In additionto the underwriters fee, the firm will incur $1,000,000 in legal, ac-counting, and other costs. How many shares must Magenta sell?