Wheeling and Dealing. Car dealerships located in the same area often move together on sales events (outside of traditional holiday sales). Suppose that the Lincoln and Lexus dealerships in Bucks County agree that they will not hold a sale during Halloween weekend. Consider the payoff table below for the two dealerships (profit made at the particular dealership for that week, in thousands of USD). Lincoln Sale No Sale 50 40 Sale 50 70 Lexus 70 60 No Sale 40 60 a. Find the Nash equilibrium. Find equilibrium payoffs. Nash Equilibrium: Equilibrium Payoffs:b. Suppose the two dealerships wanted to sustain the (No Sale, No Sale) equilibrium with a grim trigger strategy. Assuming an infinitely repeating game, write the inequality that must hold for both firms playing that strategy to be an equilibrium. Now solve for the r that will make this equilibrium possible.Suppose the profit from deviating to Sale when the other player is playing No Sale is 10 times larger. The game board is now given as: Lincoln Sale No Sale 50 40 Sale 50 700 Lexus 700 60 No Sale 40 60 We again want to sustain the (No Sale, No Sale) equilibrium with a grim trigger strategy. c. Without doing any mathematical calculations, will the r needed to sustain the (No Sale, No Sale) equilibrium increase or decrease compared to part (b)? Explain. Answer:d. Find the new range for r. rs