a) Suppose the milk cartel agreed that if any one cheats they would go back to the competitive market price. What would interest rates have to be for firms to prefercollusion?b) Suppose the agreement was that if any one cheated the punishment is to set competitive market prices for one period and then go back again to collusion. At what range of interest rates is this form of collusion possible?c) What if the punishment period was two periods instead of one? Find the range of interest rates where collusion is possible.d) At what range of interest rates is collusion possible with a two period punishment and not possible with a one period punishment. Explain.