1. Suppose that two firms face the following payoff matrix: Firm 1 Low Price High Price _ 0 2 Low Price _ 2 l Firm 2 _ _ 7 6 High Price 0 6 Given these payoffs, Firm 2 wants to match Firm 1's price, but Firm 1 does not want to match Firm 2's price. What. if any, are purestrategy Nash equilibria of this game? What is the mixedstrategy Nash equilibrium for the game. [Hint: Static game] 2. Two firms are planning to sell 10 or 20 units of their goods and face the following profit matrix: Firm 2 10 20 30 35 ll] _ 30 St] Firm 1 40 20 2t] 60 20 a) Draw the game tree if Firm 1 can decide rst. What is the outcome? b) Draw the game tree if Firm 2 can decide rst. What is the outcome