The Houston Astros and the Los Angeles Dodgers are playing the in 2022 World Series. The winning team will earn roughly $35 million and the losing team will earn $24 million. The Dodgers are favored to win, with the oddsmakers giving them a 60% chance of winning. Both teams are considering using technology to determine what types of pitches the opposing pitcher is going to throw. If the Astros use this technology and the Dodgers do not, the Astros' chances of winning the World Series rise to 50%. If the Dodgers use the technology and the Astros do not, the Dodgers' odds of winning rise to 70%. If both teams use the technology, the effects cancel out and the Dodgers' chances of winning return to 60%. The cost of the technology is $2 million. a. Draw a matrix that shows each person's decision and the associated payoffs. b. Does Houston have a dominant strategy? Explain. C. Does Los Angeles have a dominant strategy? Explain. d. Does a Nash equilibrium exist? If so, what is it? What is each team's expected payoff