Sarah and Wei are in an Italian restaurant, and the owner offers them a 4-slice pizza for free under the following condition. Each of them must simultaneously announce how many slices she would like; that is, each player picks a number from the set {0, 1, 2, 3, 4}. If the sum of the two numbers is less than or equal to 4, then each player gets the number of slices she had asked for (and the owner eats any leftover slices). If the sum is greater than 4, then the players get nothing. Each player cares only about how much pizza she individually consumes, and the more the better (in other words, the number of slices a player gets to consume can be taken to represent her payoff). a. Write down Sarah's best responses to each of Wei's strategies, and Wei's best responses to each of Sarah's strategies. Explain why these are best responses. b. Find all Nash equilibrium