The owner of Gator Airlines wishes to take her stock public for the first time by selling 3 million shares. The underwriter determines that the true value will be $15 with probability .4 and $8 with probability .6. There are a group of uninformed investors who are willing to order 6 million shares as long they pay no more than the expected true value. They also assess the probability of the true value of the shares being $15 with probability .4 and $8 with probability .6. There is a group of informed investors who always know whether the true value is $15 or $8. They are willing to order 2 million shares if the offer price is less than the true value. (a) Calculate the highest offer price at which the entire issue will always sell. (b) Is the new issue price below the expected true value of the shares? If so, could an uniformed investor make money on average by submitting an order to buy some shares of the new issue? Why or why not?