Although Annie Russell (in problem 20) has been told by the athletic department at Tech that all the games will likely be sell outs, she is aware that the weather will affect how many fans will actually attend the games and buy hot dogs. Fans are less likely to attend the game if the weather is too hot or too cold and will not buy hot dogs if the weather is cold. Considering these new factors Annie has decided to analyze her decision-making situation to consider the possible outcomes given different weather conditions. If the weather is good all season she estimates that if she sells hotdogs for $3.25, she will sell 7,000, but if the weather is bad she will sell only 5,500. On the other hand, if she charges $4.00 for a hotdog and the weather is good, she will sell 6,000, but if the weather is bad she will sell only 3,500. Which price do you think Annie should sell the hotdogs for? Explain your reason.