Himmel Corp. wants to raise $100 million in a new stock issue. Its investment banker indicates that the sale of new stock will require 12 percent underpricing and a 7 percent spread. (Hint: The underpricing is 12 percent of the current stock price, and the spread is 7 percent of the issue price.)

a. Assuming Himmel's stock price does not change from its current price of $50 per share, how many shares must the company sell and at what price to the public?

b. How much money will the investment banking syndicates earn on the sale?