1. If you have 100 chips, how can you split them into piles in order to maximize the product of the number of chips in all piles? 2. You are flipping four coins and you get $1 for each head that shows up. a) You are given the choice to reflip all 4 coins once. What is your optimal strategy? b) You can reflip all 4 coins as many times as you want, but you must pay $1 for each reflip. What is your optimal strategy?