A would-be acquirer is preparing to make a first-and-final tender offer to acquire target
Company T. The acquirer judges that Company T’s reservation value is somewhere
between $60 and $90 per share, with all values in between equally likely. Under its own
management, the acquirer predicts that the target will be worth $100 per share. Should
the firm offer $90 per share to assure that Company T will sell out? Determine the offer
that maximizes the acquirer’s expected profit.
Jim Bradley is the manager of a bakery, located on a major intersection in a suburban
area of Midwestern city. He has been collecting data on sales at his store for the past
year. Recently, he has developed a model that he thinks explains sales at the bakery.
Unfortunately, he never had a course in statistics, and isn’t sure that he has done his
regression analysis correctly and asks for your opinion.
According to Jim, weekly sales at the Bradley Bakery can be described by the equation:
Q = 5,000 – 1,000P + 10A + 1.5Y + 400Pc– 25Ac, where Q denotes unit sales, P is the
firm’s price, A is the firm’s advertising spending, Y is the per capita income in the local
area, Pcis the average price charged by a nearby competing bakery and Acis the rival’s
advertising spending. Jim didn’t keep the printout from the analysis. He only kept the
equation, which he is eager to use to plan for his likely sales in the next few months.