Apple and Samsung are the only two producers of smartphones in Australia. Every year they set the price of their phones for the rest of the year. Suppose they can either price their phones Low or High. If one company set the price Low and the other set it High, then the low-price company would receive a profit equal to 400 while the company with the high price only receives 100. If they both set the price low they both receive 200. Finally, if the both decide to set their prices high the each receive 300. (a) What is the Nash equilibrium of this game if it is only played once? (5 marks) (b) What is the subgame perfect equilibrium of this game if both firms play the same game for T periods? (5 marks) (c) Suppose the game is played infinitely. At what discount rate we can support an equilibrium in which both firms set a high price in all periods? (6 marks)