3) Consider the following scheduling game. Delta and United have to decide how many flights to schedule between Seattle and San Francisco each day. Their profits (in thousands of dollars per day) are provided in the following payoff matrix: United 1 flight per day 2 flights per day 3 flights per day 1 flight per day $40, $40 $25, $50 $15, $45 Delta 2 flights per day $50, $25 $30, $30 $12, $18 3 flights per day $45, $15 $18, $12 $0, $0 a. If Delta and United make these decisions simultaneously, what would the Nash equilibrium (equilibria) be for this game? b. Now suppose that Delta decides to move first and lets United respond to Delta's initial decision. Use the information in the table above to draw a game tree for this sequential move game. c. Solve for the sequential move game described in part (b)