Suppose we are selling hot dogs during a basketball game. each hot dog sells for $16 but only costs $5 to make. if we run out of hot dogs during the game, it will be impossible to get more. on the other hand, a leftover hot dog has a value of $2 each. assume that we believe the fans would buy 100 hot dogs with probability 2 , 110 hot dogs with probability 3 , 120 hot dogs 10 10 with probability 2 , 130 hot dogs with probability 1 , and 140 hot dogs with probability 2 . 10 10 10 (a) find the expected demand. (b) if 120 hot dogs are prepared, what is the expected profit